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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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Attractor Dimension Estimates for Dynamical Systems: Theory and Computation

dimensions) for attractors and invariant sets of dynamical systems and cocycles generated by smooth differential equations or maps in finite;

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Attractor Dimension Estimates for Dynamical Systems: Theory and Computation

dimensions) for attractors and invariant sets of dynamical systems and cocycles generated by smooth differential equations or maps in finite;

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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 Inequalities and Applications

inequalities; systems of linear, nonlinear, and quasi-linear differential equations; recent developments in Lyapunov-type inequalities; partial;

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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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Nonuniform Hyperbolicity

. Its core is the study of dynamical systems with nonzero Lyapunov exponents both conservative and dissipative, in addition to cocycles and;

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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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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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Dynamical Systems and Linear Algebra

This book provides an introduction to the interplay between linear algebra and dynamical systems in continuous time and in discrete time;

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Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications

time dependence and randomness do not reduce the principal spectrum and Lyapunov exponents of nonautonomous and random parabolic equations. The;

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Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications

time dependence and randomness do not reduce the principal spectrum and Lyapunov exponents of nonautonomous and random parabolic equations. The;

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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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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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Optimization of Linear Control Systems

The authors present analytical methods for synthesis of linear stationary and periodical optimal controlled systems, and create effective;

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Quick Algebra Review

Covers factors, fractions, exponents, linear equations, functions, graphs, quadratic equations, inequalities, ratio, proportion, and;

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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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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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Advanced Differential Equations

examples and an examination of the eigenvalues of an accompanying linear matrix, as well as coverage of existing literature. From the eigenvalues;

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2-d Quadratic Maps And 3-d Ode Systems

Lyapunov exponents. Also included is the proof of chaos in the piecewise linear Chua's system using two methods, the first of which is based on the;

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Modern Linear Control Design

. Lyapunov theory and Linear Matrix Inequalities (LMI) are discussed as key design methods. All methods are demonstrated with MATLAB to promote;

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Modern Linear Control Design

. Lyapunov theory and Linear Matrix Inequalities (LMI) are discussed as key design methods. All methods are demonstrated with MATLAB to promote;

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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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Dichotomies and Stability in Nonautonomous Linear Systems

Linear nonautonomous equations arise as mathematical models in mechanics, chemistry, and biology. The investigation of bounded solutions to;

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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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