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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Distribution of resonances in the quantum open baker map.
TL;DR: This work verified that the validity of the fractal Weyl law holds in all cases and introduces new ingredients to the association among the classical escape and quantum decay rates.
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Cellular bucket brigades on U-lines with discrete work stations
Yun Fong Lim,Yue Wu +1 more
TL;DR: Simulations based on random work velocities suggest that the proposed operating protocol to coordinate workers on the U-line significantly outperforms an optimized, static work-allocation policy if variability in velocity is large.
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Block image encryption based on modified playfair and chaotic system
TL;DR: Experimental results showed that the proposed playfair cipher is more secure than the classical one and very sensitive to a slight change in the secret keys.
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The gluon condensation at high energy hadron collisions
Wei Zhu,Jiangshan Lan +1 more
TL;DR: In this article, the saturation/CGC model of gluon distribution is unstable under action of the chaotic solution in a nonlinear QCD evolution equation, and it evolves to the distribution with a sharp peak at the critical momentum.
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Understanding the occupational human being as a complex, dynamical, adaptive system.
TL;DR: Data analysis revealed that although the findings need to be interpreted with caution due to a small, homogeneous sample, there are indications that the above mentioned constructs from chaos theory may be used to understand the complex occupational human being.
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.
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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.