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Lectures on Lyapunov Exponents
The theory of Lyapunov exponents originated over a century ago in the study of the stability of solutions of differential equations;
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Lyapunov Exponents and Smooth Ergodic Theory
This book is a systematic introduction to smooth ergodic theory. The topics discussed include the general (abstract) theory of Lyapunov;
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Lyapunov Exponents
Lyapunov exponents lie at the heart of chaos theory, and are widely used in studies of complex dynamics. Utilising a pragmatic, physical;
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Lyapunov Exponents
This book offers a self-contained introduction to the theory of Lyapunov exponents and its applications, mainly in connection with;
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Attractor Dimension Estimates for Dynamical Systems: Theory and Computation
-dimensional Euclidean spaces or on manifolds. It also discusses stability investigations using estimates based on Lyapunov functions and adapted;
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Attractor Dimension Estimates for Dynamical Systems: Theory and Computation
-dimensional Euclidean spaces or on manifolds. It also discusses stability investigations using estimates based on Lyapunov functions and adapted;
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Lyapunov Exponents of Linear Cocycles
The aim of this monograph is to present a general method of proving continuity of Lyapunov exponents of linear cocycles. The method uses an;
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Determining Thresholds Of Complete Synchronization, And Application
This book is devoted to the phenomenon of synchronization and its application for determining the values of Lyapunov exponents. In recent;
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Qualitative and Quantitative Behaviour of Planetary Systems
This volume contains the papers presented at the Third Alexander von Humboldt Colloquium on Celestial Mechanics. The papers cover a large;
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Chaos Theory Tamed
-Sinai entropy, dimensions, Fourier analysis, and Lyapunov exponents. Only basic algebra, trigonometry, geometry and statistics are assumed as;
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Chaos Theory Tamed
-Sinai entropy, dimensions, Fourier analysis, and Lyapunov exponents. Only basic algebra, trigonometry, geometry and statistics are assumed as;
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Optimization of Integer/Fractional Order Chaotic Systems by Metaheuristics and their Electronic Realization
different and their exactness is responsible in the evaluation of characteristics like Lyapunov exponents, Kaplan-Yorke dimension, and entropy. One;
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Ergodic Theory
Prisoner's Dilemma: good strategies and their dynamics Lyapunov exponents for conservative twisting dynamics: a survey Takens' embedding theorem;
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Strange Nonchaotic Attractors
main focus is on the theoretical analysis of strange nonchaotic behavior by means of different tools of nonlinear dynamics and statistical;
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Topological Analysis of Patterns
also provides the number of enclosed cavities. We apply these techniques to patterns generated by experiments on spiral defect chaos, as well;
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Lyapunov Inequalities and Applications
This book provides an extensive survey on Lyapunov-type inequalities. It summarizes and puts order into a vast literature available on the;
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Discrete Dynamical Systems and Difference Equations with Mathematica
, calculate Lyapunov exponents, plot bifurcation diagrams, and find basins of attraction. Modern computer algebra systems have opened the door to;
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Discrete Dynamical Systems and Difference Equations with Mathematica
, calculate Lyapunov exponents, plot bifurcation diagrams, and find basins of attraction. Modern computer algebra systems have opened the door to;
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Dynamical Chaos in Planetary Systems
symplectic maps, Lyapunov exponents and timescales, chaotic diffusion rates, stability diagrams and charts) are described and then used to show;
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Dynamical Chaos in Planetary Systems
symplectic maps, Lyapunov exponents and timescales, chaotic diffusion rates, stability diagrams and charts) are described and then used to show;
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Foliations: Dynamics, Geometry And Topology
an introduction to Foliation Theory with emphasis on examples and transverse structures. Steven Hurder's lectures apply ideas from smooth;
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Stability Domains
Stability Domains is an up-to-date account of stability theory with particular emphasis on stability domains. Beyond the fundamental basis;
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Modeling and Forecasting Primary Commodity Prices
tests employed include neural networks, correlation dimensions, Lyapunov exponents, fractional integration and rescaled range. The price;
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Modeling and Forecasting Primary Commodity Prices
tests employed include neural networks, correlation dimensions, Lyapunov exponents, fractional integration and rescaled range. The price;
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Numerical Bifurcation Analysis of Maps
on implementations (and example applications) in the free MATLAB (R) software MatContM developed by the authors. While self-contained and;
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(In-)Stability of Differential Inclusions
destabilizability, Lyapunov-like functions, called Chetaev and control Chetaev functions in the monograph, are introduced. Based on their definition and by;
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