Dynamical System Theory for Engineers: Introduction

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Dynamical System Theory: Bifurcations

Covers the topic of bifurcations in dynamical system theory, focusing on the pitchfork bifurcation.

Lyapunov Stability and Chebyshev Inequalities

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

Stability and Reachability in Multivariable Control

Explores stability, reachability, and controllability in linear systems, emphasizing their significance in system analysis.

Learning and Adaptive Control for Robots: Extensions to DS

Explores coupled and uncoupled dynamical systems, stability, hand-arm coupling, and adaptation in robotics.

Chaos Theory: Chaotic Maps and Logistic Map

Explores chaotic maps, fix points, periodic orbits, and intermittent chaos.

Fractional Susceptibility in Quadratic Dynamics

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

Synchronization in Kuramoto Model

Explores the Kuramoto model for synchronization in phase oscillators and discusses stability criteria and critical coupling values.

Attractors and Stability

Explores attractors and their stability in dynamical systems, including fixed points, periodic orbits, and chaotic attractors.

Stability of Feigenbaum Fixed Point

Explores the stability of the Feigenbaum fixed point with infinite criticality and its applications in chaos theory.

Lyapunov II: Stability and Invariance

Explores Lyapunov stability and invariance of dynamical systems through examples and corollaries.