Large Scale Stability Analysis

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Small Scale Stability: Equilibrium Point

Covers small scale stability at equilibrium points in dynamical systems for engineers.

Chaos: Irregular Trajectories and Sensitivity to Initial Conditions

Explores chaos, irregular trajectories, and sensitivity to initial conditions in dynamical systems.

Lyapunov Stability and Chebyshev Inequalities

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

Lyapunov Stability in Dynamical Systems

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

Dynamic Systems in Biology

Covers dynamic systems in biology, including trajectories, stability, and qualitative analysis.

Fractional Susceptibility in Quadratic Dynamics

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

Stable Estimator of Dynamical System (SEDS)

Explores Stable Estimator of Dynamical Systems (SEDS) for robots, covering stability, modeling, optimization, and limitations.

Dynamical System Theory for Engineers: Introduction

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

Bifurcations: Fold Bifurcation

Covers the concept of fold bifurcation in dynamical systems, focusing on the saddle-mode behavior.

Transcritical Bifurcation: Theory and Applications

Explores the theory and applications of transcritical bifurcation, focusing on stability analysis and critical points.