Open AccessBook
Chaos: An Introduction to Dynamical Systems
TLDR
One-dimensional maps, two-dimensional map, fractals, and chaotic attraction attractors have been studied in this article for state reconstruction from data, including the state of Washington.Abstract:
One-Dimensional Maps.- Two-Dimensional Maps.- Chaos.- Fractals.- Chaos in Two-Dimensional Maps.- Chaotic Attractors.- Differential Equations.- Periodic Orbits and Limit Sets.- Chaos in Differential Equations.- Stable Manifolds and Crises.- Bifurcations.- Cascades.- State Reconstruction from Data.read more
Citations
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Journal ArticleDOI
Space plasma dynamics: Alfvén intermittent chaos
TL;DR: In this paper, the onset of chaotic behavior in space plasmas is studied by numerically solving the derivative non-linear Schrodinger equation (DNLS) under the assumption of stationary Alfven waves.
Journal ArticleDOI
Measuring Occupational Performance: A Pragmatic and Dynamical Systems Perspective
TL;DR: A battery of three new occupational performance measurement instruments designed to measure constructs derived from the theoretical core of the Instrumentalism in Occupational Therapy model, which is based on the philosophy of pragmatism and the chaos/complexity/ dynamical systems theory are presented.
Proceedings ArticleDOI
A new method for recognizing operating systems of automation devices
TL;DR: It is concluded that it is possible to recognize operating systems using only one open TCP port on the target machine without compromise the device operation.
Journal ArticleDOI
Chaotic Behavior in the Real Dynamics of a One Parameter Family of Functions
TL;DR: In this article, the chaotic behavior in the real dynamics of a one parameter family of nonlinear functions is studied and the fixed points, periodic points and their nature are investigated for the function fλ(x).
Posted Content
Periods of the discretized Arnold Cat Map and its extension to n dimensions
TL;DR: In this article, Chen, Mao, and Chui extended the Discrete Cat Map (Arnold's DCM) to three dimensions by introducing the idea of a "matrix union".
References
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Journal ArticleDOI
Synchronization in chaotic systems
TL;DR: This chapter describes the linking of two chaotic systems with a common signal or signals and highlights that when the signs of the Lyapunov exponents for the subsystems are all negative the systems are synchronized.
Journal ArticleDOI
The Fractal Geometry of Nature
TL;DR: A blend of erudition (fascinating and sometimes obscure historical minutiae abound), popularization (mathematical rigor is relegated to appendices) and exposition (the reader need have little knowledge of the fields involved) is presented in this article.
Book
Theory of Ordinary Differential Equations
TL;DR: The prerequisite for the study of this book is a knowledge of matrices and the essentials of functions of a complex variable as discussed by the authors, which is a useful text in the application of differential equations as well as for the pure mathematician.