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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A multiple-access technique for differential chaos-shift keying
TL;DR: A multiple-access technique for use with differential chaos shift keying is proposed and analyzed and bit-error rates are derived numerically for different numbers of users.
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Infectious diseases and endogenous fluctuations
Aditya Goenka,Lin Liu +1 more
TL;DR: In this paper, the authors developed a framework to study the economic impact of infectious diseases by integrating epidemiological dynamics into a discrete time one sector growth model, where susceptible individuals choose how much labor to supply so that the effective labor supply comprises of the proportion of healthy individuals (extensive margin) and their labor supply (intensive margin).
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Fiscal Policy, Increasing Returns, and Endogenous Fluctuations
Kevin J. Lansing,Jang-Ting Guo +1 more
TL;DR: In this article, the authors examine the quantitative implications of government fiscal policy in a discrete-time one-sector growth model with a productive externality that generates social increasing returns to scale.
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Irving–Mullineux oscillator via fractional derivatives with Mittag-Leffler kernel
TL;DR: In this article, an alternative representation of the Irving-Mullineux oscillator via Atangana-Baleanu fractional derivative in Liouville-Caputo sense is presented.
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What is Transformation?: Nine Principles Toward an Understanding of the Transformational Process for Transformational Leadership
TL;DR: In this paper, the authors offer an exploration of nine basic principles of transformational learning and organizational change theory as well as the implications of these principles for transformational leadership, and posits that leaders who wish to lead in transformational ways must clearly understand the process of transformation, and in order to do so, they must be grounded at least to some extent in Transformational Learning theory.
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.