Nonlinear Dynamics and Chaos

Related lectures (31)

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

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

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

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

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

Explores nonlinear dynamics, bifurcations, stability, weakly nonlinear systems, saturation, Hopf bifurcation, and global stability analysis.

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

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

Covers special types of systems, focusing on gradient systems and limit cycles, discussing equilibrium points, stability, and chaotic behavior.

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