Chaos Theory: Discrete Dynamical Systems

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Lyapunov Stability and Chebyshev Inequalities

Explores Lyapunov stability and Chebyshev inequalities in system analysis and control design.

Nonlinear Dynamics: Stability and Chaos

Explores fixed point stability, Lyapunov functions, Lotka-Volterra models, and nonlinear dynamics in complex systems.

Dynamical System Theory for Engineers: Introduction

Introduces dynamical system theory for engineers, covering system behavior, stability, and invariant sets.

Fractional Susceptibility in Quadratic Dynamics

Explores the fractional susceptibility function in quadratic dynamical systems, highlighting its significance and the associated paradoxes in parameter dependence.

Lyapunov Stability in Dynamical Systems

Covers Lyapunov stability in dynamical systems, focusing on global asymptotic stability and practical implementation through semidefinite programming.

Dynamical Systems for Engineers

Covers the theoretical basis of linear and nonlinear dynamical systems for engineers.

Ruelle Resonances for Linear Pseudo-Anosov Maps

Delves into Ruelle resonances for linear pseudo-Anosov maps, highlighting their importance in dynamical systems theory.

Lyapunov Stability Analysis

Covers Lyapunov stability analysis, focusing on Lyapunov functions and stability criteria in robotic systems.

Dynamic Systems: Formalism and Bases

Covers the formalism and bases of dynamic systems, including differential equations and non-linear systems.

Linear Response for Chaotic Systems

Explores linear response for chaotic systems, discussing SRB states, Lyapunov exponents, and convergence of the response formula.