A DCT-Based Fractal Image Compression Method. 2). It introduces the key phenomena of chaos — aperiodicity, sensitive dependence on initial conditions, bifurcations — via simple iterated functions. ISBN: 978-981-12-7326-1 (ebook) USD 30. The theoretical fractal dimension for this fractal is 5/3 ≈ 1. even within yourself. 1 Theory of Chaos Analysis. . Chaos Theory and Education; Chaos Theory: A Brief Introduction Diarsipkan 2013-08-05 di Wayback Machine. See moreSep 30, 2021 - Explore Rticulated's board "Fractal tattoo" on Pinterest. Fractals: A fractal is a never-ending pattern. A basis for chaos is established in the Butterfly Effect,. Br J Gen Pract. This book develops deterministic chaos and fractals from the standpoint of iterated maps, but the emphasis makes it very different from. See more ideas about chaos theory, chaos, chaos tattoo. The name "chaos theory" leads the reader to believe that mathematicians have discovered some new and definitive knowledge about utterly random and incomprehensible phenomena; however,. Linear and Nonlinear Dynamics and Vibrations Laboratory at the University of Illinois Diarsipkan 2005-12-15 di Wayback Machine On the basis of nonlinear theory, chaos theory is “a kind of science concerning process and evolution, rather than state and existence (p. The dictionary definition of chaos is turmoil, turbulence, primordial abyss, and undesired randomness, but scientists will tell you that chaos is something extremely sensitive to initial conditions. Chaos (n): the inherent unpredictability in the behaviour of a complex natural system. The Julia sets, for example, are complex fractals that are formed from the sets of repelling periodic points of the mapping 𝑐( )= 2+ أخبار عاجلة. Find and save ideas about chaos theory on Pinterest. A subtly different claim of precedence has been made by Hubbard, who is now considered one of the world's experts on the Mandelbrot set. Chaos theory explains that within the visible. I decided a cool thing to get would be a bifurcation diagram showing the period doubling route to chaos. Choose any arbitrary point (x,y) ( x, y) anywhere on the plane either inside or outside the triangle. Mandala Art. (bitRAKE) (March 2011)The fractal mathematics Mandelbrot pioneered, together with the related field of chaos theory, lifts the veil on the hidden beauty of the world. It explains the duality behavior of financial markets modeled by these two theories, and more importantly, on how they are related to quantum finance for financial engineering in contemporary financial institutions. 1992; 267:1806–1809. Initially, Williams' ideas aroused much controversy because of their revolutionary nature. At least, the application of chaos theory opens up the opportunity for novel dynamic access to carcinogenesis. Chaos describes certain nonlinear dynamical systems that have a very sensitive dependence on initial conditions. Instructor: Matilde Marcolli. Touch device users. L. Medical Wallpaper. Published 2009. Atoms are composites of elementary particles and follow the same equations and behavior. Heart rate (HR) variability has been conventionally analyzed with time and frequency domain methods, which measure the overall magnitude of R-R interval fluctuations around its mean value or the magnitude of fluctuations in some predetermined frequencies. Feb 26, 2018 - Explore Jan Wisor's board "Fractal Curves" on Pinterest. For example, unlike the behavior of a pendulum, which adheres to a predictable pattern a. Linear and Nonlinear Dynamics and Vibrations Laboratory at the University of Illinois Diarsipkan 2005-12-15 di Wayback Machine8. A fractal dimension is an index for characterizing. Oct 15, 2014 - Explore Donna Ruiz y Costello's board "Chaos Theory" on Pinterest. Figure 3 empirically confirms a fact known from chaos theory that whenever a fractal represents full chaos, the ruler dimension may be greater than 2 (Peitgen et al. Loss of “complexity” and aging: potential applications of fractals and chaos theory to senescence. ,. 9. 7. This book remedies this deficiency by utilizing these. Lancet. Get inspired and try out new things. 1996 May 11; 347 (9011):1312–1314. The butterfly effect or sensitive dependence on initial conditions is the property of a dynamical system that, starting from any of various arbitrarily close alternative initial conditions on the attractor, the iterated points will become arbitrarily spread out from each other. Although the "paradox of length" was previously noted by Hugo Steinhaus, the first systematic study of. The program starts with the center C of the -sided polygon (it could be any point) and draws a new point at a fraction of the distance between C and a random vertex. 5 CONCLUSION. X Tattoo. Chaos theory is a mathematical theory, and it is still in development. The double-scroll system is often described by a system of. If instead of 3, you begin with 5 dots, then you. " (F. Chaos theory is a branch of mathematics that deals with nonlinear dynamical systems. 1996; 347:1312–1314. Moreover, fractal geometry is applied in many radiographic analyses. vn compilation. 98. Saved from Uploaded by user. On one hand it puts an end to the dream of full predictability of deterministic dynamical systems, on the otherChaos Theory The theory of Dynamical Systems (more popularly known asChaos Theory) focuses on the behavior occurring in a system underiteration. Fractal theory. 8 Chaos and Fractals C5 A Chaos In problems 1–4, follow the procedure of Example 1 to find the possible attractors. Mathematical models and definitions associated with chaos are reviewed. Chaos theory is the study of a particular type of systems that evolved from some initial conditions. 33, 192–209), whereas the. Jun 25, 2019 - Explore nezar BİLEN's board "Chaos theory" on Pinterest. See more ideas about chaos theory, chaos, fractals. The so-called butterfly effect has become one of the most popular images of chaos. Abstract. J. Fractal patterns are everywhere: in mathematics 1, industry 2, the stock market 3, climate science 4, galaxies 5, trees 6, and even in the films we watch and games we play 7,8 (). 8272. Supplementary. As can be seen from the graph, even the slightest. It is true, the whole world IS in chaos right now. These complex systems may be weather patterns,. Dieser Pinnwand folgen 124 Nutzer auf Pinterest. Chaos theory and fractal geometry have begun to appear as an important issue in secondary school mathematics. When autocomplete results are available use up and down arrows to review and enter to select. In the references to chaos theory and fractals to be addressed in this section, the actual mathematical content of these disciplines, i. Maths In Nature. Nonlinear modeling still has not been able to explain all of the complexity present in human systems, and further models still need to be refined and developed. IFSs provide models for certain plants, leaves, and ferns, by virtue of. This results from the fractal curve–like properties of coastlines; i. Systems Theory. Line Images. See more ideas about geometry, fractal geometry, fractals. Heavily explored and recognized during the mid-to-late 1980s, its premise is that systems sometimes reside in chaos, generating energy but without any predictability or direction. Chaos Theory • Dictionary Meaning of Chaos – “a state of things in which chance is supreme; especially : the confused unorganized state of primordial matter before the creation of distinct forms” (Webster). Basically, if one focuses attention on the time. Analysis of HR dynamics by methods based on chaos theory and nonlinear. Chaos also refers to the question of whether or not it isThis paper presents a thorough review of chaos theory and its application in image encryption schemes. Share images of mandelbrot set tattoo by website in. Many natural objects exhibit fractal properties, including landscapes, clouds, trees, organs, rivers, etc. In the equation y kx(1 x), take k 3. Download/cite the article here and try pynamical yourself. Chaos theory. In. Touch device users, explore by touch or with swipe gestures. Haslinger, Monatshefte für Mathematik, Vol. 98 1 Used from $21. 24 déc. Interdisciplinary Research on Chaos Theory 5. This Demonstration is meant to help users (especially students) understand computable aspects of one-dimensional iterative maps with -unimodality. The only integrative approach to chaos and random fractal theory Chaos and random fractal theory are two of the most important theories developed for data analysis. See more ideas about fractal tattoo, chaos theory, attractors. The mathematical beauty of fractals lies at. It concerns a cyclic attractor. Causes: low moral in a country. 3. Individual molecules of air all conform to basic laws of physics, but global weather patterns are anything but simple. See more ideas about chaos theory, chaos, fractals. A. See more ideas about chaos theory, chaos, fractals. Saved from nature. If you had precise information about every object right now, you could use the laws of physics to predict what would happen in the future. Fractals – Often refers to the geometry of the objects. System A Lindenmayer System (or L-system) is related to Thue and Post systems, and is used in botanical modeling and fractal generation. Finally we establish the idea of control of chaos. Furthermore, chaos theory has a dual character. This article uses chaos theory to model public relations situations whose salient feature is the volatility of public perceptions. The study of fractal geometry and chaos theory are two examples of new fields in mathematics that have been popularized in the past 30 years, in large part due to the availability of high-speed computers. The aim of this chapter is to provide a review of main approaches of nonlinear analysis (fractal analysis, chaos theory, complexity. Glitch eye fractal tattoos. Start counting. . While most traditional science deals with supposedly predictable phenomena like gravity, electricity, or chemical reactions, Chaos Theory deals with nonlinear things that are effectively impossible to predict or control, like. This comes from the discrete-time dynamical system. TLDR. Source: UnsplashChaos Theory. Winter 2020: University of Toronto, BA6180, Monday 5-6pm and Tuesday 10am-noon. The dictionary definition of chaos is turmoil, turbulence, primordial abyss, and undesired randomness, but scientists will tell you that chaos is something extremely sensitive to initial conditions. Fractals are introduced as self-similar geometric objects and analysed with the self-similarity and box-counting. The second section studies the application of Chaos Theory in economics and finance. Fractal dimension is one of the best known parts of fractal analysis. Chaos and fractals etc. Through chaos theory, experimental data of hourly time series are analyzed. Marion. Visual patterns in nature find explanations in chaos theory, fractals, logarithmic spirals, topology and other mathematical patterns. •. Glitch eye fractal tattoos. Results were obtained in two urban dwellings for family use and for two different. #regolo54 #Fractal #Fibonacci #geometry #symmetry #pattern #math #Escher #Art. Fractal Art. While most traditional science deals with supposedly predictable phenomena like gravity, electricity, or chemical reactions, Chaos Theory deals with nonlinear things that are effectively impossible to predict or control, like. Until now, deterministic chaos and nonlinear analysis have not been a focal point in this area of research. 00. 23-ott-2013 - Esplora la bacheca "FRACTAL" di Michela Balzarini su Pinterest. Get inspired and try out new things. John Wiley & Sons Inc. The Buddhabrot is the probability distribution over the trajectories of points that escape the Mandelbrot fractal. This book provides an elementary introduction to chaos and fractals. There is a relationship between chaos and fractals—the strange attractors in chaotic systems have a fractal dimension. [20] using fractal geometry and damage mechanics to study the event characteristics. 06. He is best known as the founder of modern chaos theory, a branch of mathematics. This fractal tattoo creates balance between chaos and order because it was spawned by the coupling of a Julia set and a Sierpinski carpet. This article explains an interesting theory of Three Wise Men in Trading Chaos developed by Bill Williams, one of the most famous American financial analysts of the second half of the 20th century. There are also images related to14. 23. It is often described by fractal mathematics, which captures the infinite complexity of nature. A loss of fractal organization has been shown to be a predictor of adverse outcomes in a variety of physiological systems, including cardiac interval or stride interval time series. In the equation y kx(1 x), take k 3 and a starting value of x 0. Download/cite the paper here!. The limit cycle of an ideal pendulum is not an example of a limit cycle attractor because its orbits are not isolated: in the phase space of the ideal pendulum, near any. Complexity and Chaos Theory in Art. It is a mathematical branch with applications in physics, economics, engineering. It is a three-dimensional generalization of the one-dimensional Cantor set and two. Chaos is often caused by chains of cause and effect whereby a small cause can eventually be amplified to greater and greater effects. Abstract. See more ideas about fractals, sacred geometry, fractal art. Mandelbrot (20 November 1924 – 14 October 2010) was a Polish-born French-American mathematician and polymath with broad interests in the practical sciences, especially regarding what he labeled as "the art of roughness" of physical phenomena and "the uncontrolled element in life". Gazi University. 2. Chaos Solitons Fractals 2018, 113, 308. Chaos, Solitons & Fractals. 92, 16 and 4 respectively. In fact Mandelbrot eventually proved that Lorenz's attractor was a fractal, as are most strange attractors. 4. Fractals can look very complicated. Fractals – Often refers to the geometry of the objects. Manus J. Analysis of HR dynamics by methods based on chaos theory and nonlinear system theory has. are also tangentially related to computational complexity, so I wonder if complexity could be used to identify chaotic structures, or vice-versa. Small differences in initial conditions (such as those due to rounding errors in numerical computation or measurement uncertainty) yield widely diverging outcomes for such. starkid. The idea is that the flapping of a butterfly’s wings in Argentina could cause a tornado in Texas three weeks later. where n, W, and (lambda_{ ext{U}}) represents index number, weighting matrix, and square diagonal matrix respectively. Objects having a fractional dimension are termed as a fractal. The beginning of its application coincided with the transition of finance to the use of big data. J Am Coll Cardiol. A 4K UHD 3D Mandelbulb video A ray-traced image of the 3D Mandelbulb for the iteration v ↦ v 8 + c. Chaos theory is a scientific principle describing the unpredictability of systems. A. In Crichton's 1990 novel Jurassic Park. A NON-DETERMINISTIC CELL DYNAMICAL SYSTEM MODEL FOR FLUID FLOWS: A STRING THEORY FOR FRACTAL SPACETIME Based on Townsend's. The Heart of Chaos A prime example of chaos in the human body is found in the beating of the heart. Casino legal online gambling, casino online ireland; Tatuaje casino, tatuaj cazinou; Casino constanta vector, csgo casino minesweeper min Chaos Theory and Education; Chaos Theory: A Brief Introduction Diarsipkan 2013-08-05 di Wayback Machine. e. Biological systems and processes are inherently complex, nonlinear and nonstationary, and that is why nonlinear time series analysis has emerged as a novel methodology over the past few decades. They cannot be truly predicted. Extant theories of careers had largely ignored these. Fractal Tattoo. Lancet. Goldberger. Chaos Theory. See more ideas about fractals, fractal art, sacred geometry. On the surface, chaos theory sounds like something completely unpredictable, but fractal geometry is about finding the order in what initially appears to be chaotic. This study provides an overview encompassing multi-chaos, fractal, fractional and Artificial Intelligence (AI) way of. identification of fractals and self-organized criticality in meteorology and atmospheric physics is summarized in Sec. ; many of the systems in which we live exhibit. Amazing Art. e. Discover Pinterest’s 10 best ideas and inspiration for Chaos theory. 5. Crossref Medline Google Scholar; 10 Goldberger AL. Also, such objects are self-similar in nature; thus, their shape is independent of the scale and remains the same under dilatation or contraction. e. - Merriam-Webster Dictionary. After discussing the central premises of the theory itself, it applies chaos theory to issues management, the evolution of interest groups, crises, and rumors. In mathematics, iterated function systems ( IFSs) are a method of constructing fractals; the resulting fractals are often self-similar. Reading material and additional slides. Chaos also refers to the question of whether or not it is possible to make good long-term predictions about how a system will act. Phys. Ömer Faruk Boyraz. 33 Comments. vn compilation. How a double pendulum. Causes: a soccer team loses the world cup. Have you ever thought about your life as a fractal? Have you embraced the infinite? PhD student Robin Andrews explains the. Computers helped reinvigorate the field. Chaos theory, the third new science, embraces irregularity as a norm. Very small changes in the starting position of a chaotic system make a big difference after a while. In a sense, this is like applied mathematics. It is also called the. On the basis of the foregoing discussion of emergence, it is possible to put the role of chaos in complex systems into its proper perspective. Moreau. These patterns include but are not limited to fractals and turbulence in fluids, shapes such as spirals or two-dimensional Mandelbrot sets, or something as ordinary as the nested layers within an onion. A system is simply a set of interacting components that form a larger whole. Chaos Theory is a very complex mathematical field that has the job of explaining the effects of very small factors. chaos is associated with complex, "random" behavior and forms of unpredictability. it shows that it is difficult to predict the future of the system. As infinitely complex objects that are self-similar across all scales, they represent dynamical systems in all their glory. Chaos game to get specific fractal. Analysis of HR dynamics by methods based on nonlinear systems theory has opened a novel approach forstudying the abnormalities in. Edward Lorenz defines chose theory as follows. 5-feb-2020 - Esplora la bacheca "Magic" di Le Fol su Pinterest. At the present time, the properties of fractals are incompletely described, and further work is needed to discover new mathematical descriptors which can be applied to fractal analysis. These sensitive nonlinear dynamical systems have now been explained using chaos theory and fractal geometry. Dates: 5/21/79, 11/12/86, 8/27/10. Chaos is often caused by chains of cause and effect whereby a small cause can eventually be amplified to greater and greater effects. See more ideas about chaos theory, fractals, fractal art. inspired by the Video Game Splinter Cell: Chaos Theory. Mary Selvam J. In the fourteen chapters the central ideas and concepts of chaos and fractals are developed. The Mandelbrot set is an example of a fractal in mathematics. Pethkar and M. Kotel’nikov IREE RAS for exactly 35 years. Crilly R. Figure 4 (How sub-triangles are transformed). In the Wikipedia page for Chaos Game, you can see this fractal, which is the result of the rule: A point inside a square repeatedly jumps half of the distance towards a randomly chosen vertex, but the currently chosen vertex cannot be 1 or 3 places, respectively away from the two previously chosen vertices. Oct 8, 2022 - Explore Quasar's board "maths" on Pinterest. Chaos theory seeks to reveal the general structure of the system. Series ISSN 1860-0832. 5, p. Sep 1, 2018 - Explore Matthew Zimmermann's board "Tattoo ideas" on Pinterest. The limit of the process produced is the fractal. Have you ever thought about your life as a fractal? Have you embraced the infinite? PhD student Robin Andrews explains the chaotic theory you will find everywhere. In this answer, we will use Bill Williams' Fractal Indicator based on Chaos Theory, which is a technical analysis. The details are different. The character was inspired in part by American historian of science James Gleick and French mathematician Ivar Ekeland. Bill William’s Chaos Theory Fractals Bill Williams says that it is better not to take trades before the first fractal is triggered. He has used fractals to model a diverse range of phenomena in science and technology, but most specifically plant structures. Wall Decal Sticker. This means that to appreciate the self similarity of these fractal objects, they have to be rescaled using an anisotropic affine transformation. Architecture Tattoo. 4. Documentary in which Professor Jim Al-Khalili shows how chaos theory can answer a question that mankind has asked for millennia - how does a universe that st. chaos theory, in mechanics and mathematics, the study of apparently random or unpredictable behaviour in systems governed by deterministic laws. A. Casino legal online gambling, casino online ireland; Tatuaje casino, tatuaj cazinou; Casino constanta vector, csgo casino minesweeper minBenoit B. 6. Tangle Doodle. Chapters. Having said that, here are some more ideas for both men and women to get a fractal tattoo: Psychedelic fractal tattoo. It was Gleick who, in his epoch-making 1980 book Chaos: The Making of a New Science (public library), did for the notion of fractals what Rachel Carson did for the notion of ecology, embedding it in the popular imagination both as a scientific concept and as a sensemaking mechanism for reality, lush with material for metaphors that now live in. The fern code developed by Barnsley is an example of an iterated function system (IFS) to create a fractal. Straussfogel, C. Authors. Systems of. inspired by the Video Game Splinter Cell: Chaos Theory. Chaos theory is the qualitative study of unstable periods in deterministic nonlinear. Complex heart rate variability and serum norepinephrine levels in patients with advanced heart failure. Although chaos was often unfavorably viewed its early stages, scientists now perform active research in many areas of the field. vn September 20, 2023. On the surface, chaos theory sounds like something completely unpredictable, but fractal geometry is about finding the order in what initially appears to be chaotic. By drawing a Sierpinski triangle, you will use a triangle shape to explore how. The million-copy New York Times bestseller and finalist for both the Pulitzer Prize and the National Book Award that reveals the science behind chaos theory. 9, two-dimensional fractals (such as a shadow thrown by a cloud) between 1. 分形 （英語： fractal ，源自 拉丁語 ： frāctus ，有「零碎」、「破裂」之意），又稱 碎形 、 殘形 ，通常被定義為「一個粗糙或零碎的 幾何形狀 ，可以分成數個部分，且每一部分都（至少近似地）是整體縮小後的形狀」 [2] ，即具有 自相似 的性質。. Dates: 5/21/79, 11/12/86, 8/27/10. Due to ergodicity and initial key sensitivity, chaos-based image encryption schemes have. The key point is detection and processing of super weak signals against the background of non-Gaussian intensive noises and strays. This chapter introduces two vital contemporary finance engineering theories: chaos and fractals. PDF | On Nov 1, 2012, Eulanda Sanders published Fractal. Ipod Wallpaper. . See more ideas about fractals, fractal art, fibonacci. Sacred Geometry. Galaxies. edu. Repeat this many times. See more ideas about photo manipulation, surreal photo manipulation, surreal photos. 1. If you rolled a 1 or 2, then draw a new point (x0,y0) ( x 0, y 0) whose distance is half way between the points (x,y) ( x, y) and (1,2) ( 1, 2). ”. 1990; 120:1419–1440. Chaos theory explains why some phenomena are unpredictable even though the phenomena are described by mathematical equations that are known perfectly well. 2017 - Entdecke die Pinnwand „Mandelbrot“ von David Voge. This study evaluates the changes in heart rate variability for 13 signals ECG signals taken from the MIT-BIH arrhythmia database to detect some major heart disease (APC, PVC, RBB, LBB) with fractal dimension. Complexity - Chaos, Fractals, Science: One of the most pernicious misconceptions about complex systems is that complexity and chaotic behaviour are synonymous. Mar 27, 2012 - Explore Linda Johnson's board "Mandelbrot and Fibonacci" on Pinterest. This led Lorenz to realize that long-term weather forecasting was doomed. Watch. The concept of Chaos Theory dates back to ancient Greek and Chinese civilizations. In a previous post, I discussed chaos theory, fractals, and strange attractors – and their implications for knowledge and prediction of systems. vn compilation. Traditionally, this discrete chaos is controlled. The columns interpreted as binary numbers give 1, 3, 5, 15, 17, 51. To take full advantage of this indicator, you need to incorporate some principles and concepts: - Traditional Technical Analysis is linear and Euclidean, which. Right, a fractal process such as heart rate regulation generates fluctuations on different time scales (temporal "magnifications") that are statistically self-similar. Deterministic chaos, fractals and quantumlike mechanics in atmospheric flows, Can. The big news about chaos is supposed to be that the smallest of changes in a system can result in very large differences in that system’s behavior. In the past few years fractal analysis techniques have gained increasing attention in signal and image processing, especially in medical sciences, e. Fractals are infinitely complex patterns that are self-similar across different scales. Mandelbrot's definition-"a set whose Hausdorff dimension is not an integer" -is clear in. Introduction Chaos theory is a branch of mathematics that deals with nonlinear dynamical systems. It describes a world in which there is chaos in order, but also order in chaos. The Lorenz Oscillator is a 3-dimensional dynamical system that exhibits chaotic flow, noted for its lemniscate shape. Dr. Saved from nature. D. While most traditional science deals with supposedly predictable phenomena like gravity, electricity, or chemical reactions, Chaos Theory deals with nonlinear things that are effectively impossible to predict or. 0001 and 1. 16/jul/2018 - Explore a pasta "Fractais Física Quântica" de Bia Pereira no Pinterest. Grenfell Chance and chaos in measles dynamics. Earnshaw H. Get inspired and try out new things. However, the. A fractal is a shape that is self-similar when you look at different scales. Background: Dynamic analysis techniques may quantify abnormalities in heart rate variability (HRV) based on nonlinear and fractal analysis (chaos theory). Fractal tattoo with Persian god in fine geometry. In mathematics, self-affinity is a feature of a fractal whose pieces are scaled by different amounts in the x- and y-directions. Chaos is a relatively new and exciting science. L. edu. Goldberger A. Fractals: A fractal is a never-ending pattern. In the equation y kx(1 x), take k 3. 2019 - Volkan Çalışıyor adlı kişinin Pinterest'te 200 kişi tarafından takip edilen "CHAOS THEORY" panosunu keşfedin. At the beginning of the 18th century, physicists like Isaac Newton thought that the universe was a giant clockwork machine. Today, fractals form part of the visual identity of chaos. They are created by repeating a simple process over and over in an ongoing. Non-linear dynamics for clinicians: chaos theory, fractals, and complexity at the bedside. Complexity is an umbrella term for concepts derived from information theory, chaos theory, and fractal mathematics, used to quantify unpredictability, entropy, and/or randomness. In the field of education, chaos theory providesincluding the butterfly effect, strange attractors, fractal dimensions, Julia Sets and the Mandelbrot Set, power laws, and cellular automata. However, these tools are embedded in the. The emerging unifying concept which emerges is that. Vintage Poster Art. 1992; 267:1806–1809. One-dimensional fractals (such as a segmented line) typically rank between 0. A work of popular science in the tradition of Stephen Hawking and Carl Sagan, this 20th-anniversary edition of James Gleick’s groundbreaking. 1. Crossref Medline Google ScholarJulien Clinton Sprott. Explore. , the dynamical properties of chaotic systems or the geometric properties of fractals have a direct impact on the course of events in a work of fiction. Alongside fractals, chaos theory ranks as an essentially universal influence on patterns in nature. Fractal geometry is the mathematical offspring of chaos theory; a fractal is the pattern left behind in the wave of chaotic activity. Mathematical Tattoo. Chaos theory is a mathematical theory, and it is still in development. Chaos theory states that within the apparent randomness of chaotic complex systems, there are underlying patterns, interconnection, constant feedback loops, repetition, self-similarity, fractals, and self-organization. Discover Pinterest’s 10 best ideas and inspiration for Chaos theory. 669. 6 déc. MAT1845HS: Introduction to Fractal Geometry and Chaos Theory. 4.