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Lecture
Nonlinear Dynamics and Chaos
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Related lectures (31)
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Stability of periodic solutions of continuous-time systems
Explores the stability of periodic solutions in continuous-time systems using the logistic map and the van der Pol oscillator.
Limit Cycles in Biological Systems
Explores the concept of limit cycles in biological systems and their significance in understanding system dynamics.
Fractional Susceptibility in Quadratic Dynamics
Explores the fractional susceptibility function in quadratic dynamical systems, highlighting its significance and the associated paradoxes in parameter dependence.
Stellar Orbits: Integrals of Motion and Phase Space Visualization
Covers integrals of motion and surfaces of section in stellar dynamics.
Weakly Nonlinear Approach: Bifurcations and Amplitude Equations
Explores weakly nonlinear approach, bifurcations, amplitude equations, critical slowing, and nonlinearities in dynamical systems.
Transcritical Bifurcations: Understanding Dynamical Systems
Explores transcritical bifurcations and the dynamics near critical points.
Kuramoto Model: Phase Synchronization and Critical Coupling
Explores the Kuramoto model, discussing phase synchronization and critical coupling in oscillator populations.
Stability Analysis: Linear Systems
Explores stability analysis in linear systems, emphasizing eigenvalues, eigenvectors, and stable manifolds.
Chaos and Lyapunov Exponents: Analyzing Predictability
Covers Lyapunov exponents, chaos measurement, and perturbation analysis in dynamical systems.
Fractals and Chaos Theory
Explores chaotic maps, fractal dimensions, and strange attractors in dynamical systems.
