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Chaos theory

Known as: Chaos, Deterministic chaotic system, Chaotic orbit 
Chaos theory is the field of study in mathematics that studies the behavior of dynamical systems that are highly sensitive to initial conditions—a… Expand
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2007
Highly Cited
2007
This paper argues that chaos theory provides a useful theorectical framework for understanding the dynamic evolution of… Expand
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Highly Cited
2001
Highly Cited
2001
Preface 1. Introduction 2. One-dimensional maps 3. Nonchaotic multidimensional flows 4. Dynamical systems theory 5. Lyapunov… Expand
Review
2001
Review
2001
Over the past decade, there has been tremendous interest in studying the behavior of chaotic systems. They are characterized by… Expand
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Highly Cited
2001
Highly Cited
2001
Preface 1. Introduction Part I. Synchronization Without Formulae: 2. Basic notions: the self-sustained oscillator and its phase 3… Expand
Highly Cited
1997
Highly Cited
1997
What is this business called 'chaos'? What does it deal with? Why do people think it's important? And how did the term 'chaos… Expand
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Highly Cited
1997
Highly Cited
1997
There are many striking similarities between the new science of chaos/complex-ity and second language acquisition (SLA) Chaos… Expand
Highly Cited
1994
Highly Cited
1994
FRACTAL TIME SERIES. Failure of the Gaussian Hypothesis. A Fractal Market Hypothesis. FRACTAL (R/S) ANALYSIS. Measuring Memory… Expand
Highly Cited
1989
Highly Cited
1989
Equilibrium Solutions, Stability, and Linearized Stability * Liapunov Functions * Invariant Manifolds: Linear and Nonlinear… Expand
Review
1985
Review
1985
Physical and numerical experiments show that deterministic noise, or chaos, is ubiquitous. While a good understanding of the… Expand
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Highly Cited
1985
Highly Cited
1985
We present the first algorithms that allow the estimation of non-negative Lyapunov exponents from an experimental time series… Expand
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