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Related lectures (30)
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Nonlinear Dynamics: Stability and Chaos
Explores fixed point stability, Lyapunov functions, Lotka-Volterra models, and nonlinear dynamics in complex systems.
Special Types of Systems: Limit Cycles
Covers special types of systems, focusing on gradient systems and limit cycles, discussing equilibrium points, stability, and chaotic behavior.
Dynamical System Theory: Bifurcations
Covers the topic of bifurcations in dynamical system theory, focusing on the pitchfork bifurcation.
Stability and State Feedback
Covers BIBO stability, Lyapunov stability, state feedback, and eigenvalue assignment.
Nonlinear Dynamics and Chaos
Covers Hopf bifurcations, pitchfork bifurcations, and the Lorenz system in nonlinear dynamics and chaos.
Lyapunov Methods: Stability Analysis
Explores Lyapunov methods for analyzing stability in nonlinear control systems using functions and mechanical analogies.
Mechanics: Equilibrium Points and Stability
Explores equilibrium points and stability in mechanical systems, analyzing how systems return to or move away from their positions after disturbances.
Oscillateur Harmonique: Potentiel et Orbites
Explores harmonic oscillators, potential energy conservation, and stability around equilibrium points.
Small Scale Stability: Equilibrium Point
Discusses stability analysis of equilibrium points in dynamical systems.
Lyapunov Stability in Dynamical Systems
Covers Lyapunov stability in dynamical systems, focusing on global asymptotic stability and practical implementation through semidefinite programming.
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