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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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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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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

classification into families are also discussed. Specific topics addressed are KAM theory, chaotic motions, resonances, Lyapunov characteristic exponents;

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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

physics (bifurcation analysis, Lyapunov exponents, correlations and spectra, renormalization group). The relations of the subject to other fields;

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Topological Analysis of Patterns

through the computation of positive Lyapunov exponents and entropies, comparing experimental and numerically simulated data, and quantifying;

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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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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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An Introduction to Chaos in Nonequilibrium Statistical Mechanics

describe macroscopic properties of fluid flows, and quantities, such as Lyapunov exponents and Kolmogorov-Sinai entropies, which describe the;

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Mathematical Constants II

), Lyapunov exponents, knots and tangles, continued fractions, Galton-Watson trees, electrical capacitance (from potential theory), Zermelo's;

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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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Stability Domains

of the theory of dynamical systems, it includes recent developments in the classical Lyapunov stability concept, practical stabiliy properties;

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