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 Article
Acategoriality as mental instability
TL;DR: In this article, a refined and compact terminology for the description of categorial and acategorial mental states and their stability properties is introduced within the framework of the theory of dynamical systems.
Journal ArticleDOI
Deterministic chaos in a model of discrete manufacturing
TL;DR: A natural extension of the bucket brigade model of manufacturing is capable of chaotic behavior in which the product intercompletion times are, in effect, random, even though the model is completely deterministic.
Book ChapterDOI
System Complexity and Its Measures: How Complex Is Complex
TL;DR: This chapter provides a new comprehensive taxonomy of complexity measures, including dynamical systems, complex systems, complexity, and quantification of complexity.
Journal ArticleDOI
Characterization of volcanic regimes and identification of significant transitions using geophysical data: a review
TL;DR: In this paper, the authors present a data reduction procedure for the characterization of volcanic regimes, which can be used not only for characterizing different volcanic regimes but also for determining transitions between them, examining their relationship with external or internal events such as tectonic or volcano-tectonic seismic events.
Journal ArticleDOI
Chaotic behavior of logistic map in superior orbit and an improved chaos-based traffic control model
Ashish,Jinde Cao,Renu Chugh +2 more
TL;DR: An improved chaos-based discrete traffic control model is described, with added new parameter $$\alpha $$α in Mann orbit works as control variable that increases the stability performance of the traffic model.
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.