Equilibrium Points and Bifurcations

Related lectures (30)

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

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

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

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.

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

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

Covers non-linear ordinary differential equations, including separation, Cauchy problems, and stability conditions.

Covers the analysis of speed variation using differential equations and small time intervals.