Equilibrium Points and Bifurcations

Related lectures (40)

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

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.

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

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

Explores stability analysis in linear systems, emphasizing eigenvalues, eigenvectors, and stable manifolds.

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

Covers dynamic systems, trajectories, growth models, stability of fixed points, and linearization of models.

Covers the modeling of dynamic systems, including definitions, examples, and linearization processes for easier analysis.

Explores canonical transformations, focusing on existence, equations, simplicity, and differential equations' theory.

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

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.

Covers the introduction to bifurcations in dynamical systems, including examples and theorems.

Explores equilibrium and stability of a vertical metronome system with springs.

Explores the one-dimensional harmonic oscillator, equilibrium positions, and forced oscillators with external forces.

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