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Lecture
Nonlinear Dynamical Systems: Key Concepts
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Related lectures (29)
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Introduction to Dynamical System Theory for Engineers
Covers trajectory, solution, and orbit of dynamical systems for engineers.
Nonlinear Dynamics: Homoclinic Orbits and Bifurcations
Delves into homoclinic orbits, bifurcations, and limit cycles in nonlinear dynamics.
Introduction to Dynamical System
Introduces dynamical systems, equilibrium points, stability, vector fields, phase plots, and Lyapunov stability.
Nonlinear Dynamics and Complex Systems
Covers chaotic behavior in complex systems, with applications in various fields and a historical overview of major developments in chaos theory.
Dynamical Systems for Engineers
Covers the theoretical basis of linear and nonlinear dynamical systems for engineers.
Chaos Theory: Turbulence and Double Pendulum
Delves into Chaos Theory, exploring chaotic systems, sensitivity to initial conditions, and the dynamics of the double pendulum.
Functions Composition: Continuity & Elements
Covers the composition of functions, continuity, and elementary functions, explaining the concept of continuity and the construction of elementary functions.
Discrete Systems Theory
Covers difference equations, dynamic systems, linearity, and impulse response in discrete systems.
Chaos and Lyapunov Exponents: Analyzing Predictability
Covers Lyapunov exponents, chaos measurement, and perturbation analysis in dynamical systems.
Dynamical Systems: Equilibrium Points and Stability
Covers dynamical systems, equilibrium points, stability analysis, and phase plots using examples like the pendulum system.
