Lectures related to Dynamical System Theory for Engineers: Introduction

Explores one-dimensional maps, periodic solutions, and bifurcations in dynamical systems.

Introduces dynamical systems, equilibrium points, stability, vector fields, phase plots, and Lyapunov stability.

Covers dynamical systems, equilibrium points, stability analysis, and phase plots using examples like the pendulum system.

Explores Chaos Theory through Discrete Dynamical Systems and the Arnold's Cat Map.

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

Explores chaotic maps, fix points, stability, and Lyapunov exponents in discrete systems, emphasizing their role in determining chaos.

Explores online gradient boosting for non-stochastic control problems, emphasizing policy regret minimization and stability in control.

Explores learning and adaptive control for robots through SEDS and LPV-DS, emphasizing stability, non-linear dynamics, and optimization.

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

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

Explores Chaos Theory, focusing on the logistic map, periodic orbits, and stability conditions.

Covers Lyapunov exponents, chaos measurement, and perturbation analysis in dynamical systems.

Delves into Chaos Theory, exploring chaotic systems, sensitivity to initial conditions, and the dynamics of the double pendulum.

Explores the Lorenz System, sensitivity to initial conditions, chaotic systems, and topological mixing.

Covers trajectory, solution, and orbit of dynamical systems for engineers.

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

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

Introduces dynamical system theory for engineers, covering system behavior, stability, and mathematical applications.

Covers large scale stability analysis and properties of dynamical systems solutions.

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