Equilibrium Points and Bifurcations

Related lectures (30)

Page 1 of 3

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

Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.

Explores logistic maps, bifurcations, equilibrium points, and periodic orbits in nonlinear dynamics and chaos.

Covers bifurcations, long-term dynamics, logistic map, universality, and correspondence between different maps.

Covers Hopf bifurcations, pitchfork bifurcations, and the Lorenz system in nonlinear dynamics and chaos.

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

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

Explores flip and Andronov-Hopf bifurcations, showing how systems change equilibrium points and stability.

Explores the analysis of a ball's trajectory in contact with a beam, focusing on forces, angles, and motion equations.

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.