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
Characteristic distribution of finite-time Lyapunov exponents for chimera states.
TL;DR: It is shown that the probability densities of finite-time Lyapunov exponents, corresponding to chimera states, have a definite characteristic shape, which could be used as signatures of chimeraStates in systems for which the phases of all the oscillators cannot be measured directly.
Journal ArticleDOI
Complex Systems Science and Brain Dynamics
TL;DR: A multistage non-linear system level model of the biological clock governed by the suprachiasmatic nucleus in the hypothalamus – known to regulate circadian rhythm is built, finding that the chief source of de-synchronicity occurs when some organs advance their clocks following the SCN update, a property termed “anti-dromic re-entrainment.”
Journal Article
A study of fuzzy and many-valued logics in cellular automata
TL;DR: The idea here is to show that the evolution of space-time diagrams of ECA's under even a probabilistic logic can exhibit non-chaotic behavior.
Journal ArticleDOI
Fractional Differential Equations 2012
TL;DR: In this article, the authors proposed a method to solve the problem of energy efficiency in the context of Mathematical Sciences at the Queensland University of Technology (QUT) in Queensland, Australia.
Book ChapterDOI
Order-Picking by Cellular Bucket Brigades: A Case Study
TL;DR: In this paper, the authors present a novel design alternative that may provide substantial improvement to the productivity of a bucket brigade, where products are stored on both sides of an aisle and each worker picks products to fulfill customer orders from one side of the aisle when he proceeds in one direction.
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.