Lectures related to Nonlinear Dynamics and Complex Systems

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

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

Examines the connection between turbulence and deterministic chaos, focusing on predictability and the complexity of chaotic systems.

Explores bifurcation, fractals, Julia sets, Mandelbrot set, and self-similarity in complex dynamical systems.

Explores chaotic systems, fractals, and dimensions in Chaos Theory.

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

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

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

Explores the speaker's research journey, covering topics such as modern filters, chaos theory, synchronization, and superconductors.

Explores countable and uncountable sets, Cantor set, Mandelbrot set, and Box dimension in nonlinear dynamics and complex systems.

Explores angular momentum, central forces, and gravitational theory, including Kepler's laws and Newton's approach.

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

Introduces equilibrium points and bifurcations in differential equations, discussing their stability and relevance in various contexts.

Covers chaos properties, focusing on Lyapunov exponents and their role in chaotic dynamics and predictability.

Delves into homoclinic orbits, bifurcations, and limit cycles in nonlinear dynamics.

Explores Newton's laws, fundamental forces, and exercises on these topics.

Covers advanced physics topics related to gravitational forces and Johannes Kepler's contributions to understanding planetary motion.

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

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

Covers angular momentum, gravitational force, Kepler's laws, and orbital motion.