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Lecture
Dynamical Systems for Engineers
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Related lectures (27)
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Dynamical Systems: Maps and Stability
Explores one-dimensional maps, periodic solutions, and bifurcations in dynamical systems.
Stability Analysis: Linear Systems
Explores stability analysis in linear systems, emphasizing eigenvalues, eigenvectors, and stable manifolds.
Introduction to Dynamical System
Introduces dynamical systems, equilibrium points, stability, vector fields, phase plots, and Lyapunov stability.
Equilibrium Points and Bifurcations
Introduces equilibrium points and bifurcations in differential equations, discussing their stability and relevance in various contexts.
Nonlinear Dynamics: Homoclinic Orbits and Bifurcations
Delves into homoclinic orbits, bifurcations, and limit cycles in nonlinear dynamics.
Dependence and Correlation
Explores dependence, correlation, and conditional expectations in probability and statistics, highlighting their significance and limitations.
Nonlinear Dynamics and Chaos
Covers bifurcations, long-term dynamics, logistic map, universality, and correspondence between different maps.
Nonlinear Dynamics: Stability and Chaos
Explores fixed point stability, Lyapunov functions, Lotka-Volterra models, and nonlinear dynamics in complex systems.
Nonlinear Dynamics and Chaos
Covers Hopf bifurcations, pitchfork bifurcations, and the Lorenz system in nonlinear dynamics and chaos.
Probability and Statistics
Introduces key concepts in probability and statistics, illustrating their application through various examples and emphasizing the importance of mathematical language in understanding the universe.
