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Related lectures (23)
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Bifurcations: Fold Bifurcation
Covers the concept of fold bifurcation in dynamical systems, focusing on the saddle-mode behavior.
Chaos Theory: Chaotic Maps and Logistic Map
Explores chaotic maps, fix points, periodic orbits, and intermittent chaos.
Chaos Theory: Logistic Map and Periodic Orbits
Explores Chaos Theory, focusing on the logistic map, periodic orbits, and stability conditions.
Nonlinear Dynamics and Chaos
Covers bifurcations, long-term dynamics, logistic map, universality, and correspondence between different maps.
Nonlinear Dynamics and Chaos
Explores logistic maps, bifurcations, equilibrium points, and periodic orbits in nonlinear dynamics and chaos.
Bifurcations: Introduction
Covers the introduction to bifurcations in dynamical systems, including examples and theorems.
Bifurcations: Flip and Andronov-Hopf
Explores flip and Andronov-Hopf bifurcations, showing how systems change equilibrium points and stability.
Dynamical Systems: Maps and Stability
Explores one-dimensional maps, periodic solutions, and bifurcations in dynamical systems.
Fractals and Chaos Theory
Explores chaotic maps, fractal dimensions, and strange attractors in dynamical systems.
Chaos Theory: Turbulence and Double Pendulum
Delves into Chaos Theory, exploring chaotic systems, sensitivity to initial conditions, and the dynamics of the double pendulum.
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.
Non-linear Systems in 2D: Predator-Prey Models
Covers non-linear systems in 2D, focusing on predator-prey models and stability analysis of fixed points.
Introduction to Quantum Chaos
Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.
Dynamic Systems: Course Review
Covers dynamic systems, trajectories, growth models, stability of fixed points, and linearization of models.
Chaos Theory: Maps and Lyapunov Exponents
Explores chaotic maps, fix points, stability, and Lyapunov exponents in discrete systems, emphasizing their role in determining chaos.
Phase Portrait and Non-linear Systems
Covers phase portraits, eigenvalue decomposition, Jordan decomposition, and stable nodes in non-linear systems.
Chaotic Movement: Double Pendulum
Delves into the dynamics of a double pendulum system and how initial conditions affect its behavior.
Chaos Theory: Fractals and Dimensionality
Explores chaotic systems, fractals, and dimensions in Chaos Theory.
Untitled
Statistics of Multivariate Extremes: Inference and Models
Explores theory and applications of multivariate extremes, emphasizing fitting marginal and dependence models together for accurate estimation.
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