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Lecture
Nonlinear Dynamics and Chaos
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Nonlinear Dynamics: Bifurcations and Stability
Explores nonlinear dynamics, bifurcations, stability, weakly nonlinear systems, saturation, Hopf bifurcation, and global stability analysis.
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.
Bifurcation and fractals in complex dynamical systems
Explores bifurcation, fractals, Julia sets, Mandelbrot set, and self-similarity in complex dynamical systems.
Fractional Susceptibility in Quadratic Dynamics
Explores the fractional susceptibility function in quadratic dynamical systems, highlighting its significance and the associated paradoxes in parameter dependence.
Transcritical Bifurcations: Understanding Dynamical Systems
Explores transcritical bifurcations and the dynamics near critical points.
Nonlinear Dynamics: Stability and Chaos
Explores fixed point stability, Lyapunov functions, Lotka-Volterra models, and nonlinear dynamics in complex systems.
Introduction to Dynamical System
Introduces dynamical systems, equilibrium points, stability, vector fields, phase plots, and Lyapunov stability.
Attractors and Stability
Explores attractors and their stability in dynamical systems, including fixed points, periodic orbits, and chaotic attractors.
Limit Cycles in Biological Systems
Explores the concept of limit cycles in biological systems and their significance in understanding system dynamics.
Stellar Orbits: Integrals of Motion and Phase Space Visualization
Covers integrals of motion and surfaces of section in stellar dynamics.
