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
More filters
Journal ArticleDOI
Footloose Entrepreneurs, Taxes and Subsidies
TL;DR: In this paper, the authors challenge the robustness of policy propositions of the New Economic Geography and argue that changing the temporal framework of the Footloose Entrepreneur model implies that the system can exhibit periodic cycles, chaotic orbits or agglomeration.
Global Chaos Synchronization of Hyperchaotic Lorenz and Hyperchaotic Chen Systems by Adaptive Control
V. Sundarapandian,R. Karthikeyan +1 more
TL;DR: In this article, the adaptive control method is applied to derive new results for the global chaos synchronization of identical hyperchaotic Lorenz systems (2007), identical Hyperchaotic Chen systems (2010) and non-identical hyper-chaotic Lyapunov stability theory.
Posted Content
Giga-Periodic Orbits for Weakly Coupled Tent and Logistic Discretized Maps
TL;DR: In this article, the authors introduce new models of very weakly coupled logistic and tent maps for which orbits of very long period are found, and the length of these periods is far greater than one billion.
Journal Article
An overview of semantics for the validation of numerical programs
TL;DR: A simple formal semantics for floating-point numbers with errors which is expressive enough to be formally compared to the other methods and which enables us to formally compare the properties calculated in each semantics to the authors' reference, simple semantics.
DissertationDOI
Engineering change modelling using a function-behaviour-structure scheme
TL;DR: Hamraz, N.H.Caldwell, and P.Clarkson, the authors proposed a Holistic Framework for Categorisation of Literature in Engineering Change Management, online first, DOI: 10.1080/09544828.
References
More filters
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.