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Related lectures (11)
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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.
Chaos Theory: Chaotic Maps and Logistic Map
Explores chaotic maps, fix points, periodic orbits, and intermittent chaos.
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.
Chaos Theory: Logistic Map and Periodic Orbits
Explores Chaos Theory, focusing on the logistic map, periodic orbits, and stability conditions.
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.
Fractals and Chaos Theory
Explores chaotic maps, fractal dimensions, and strange attractors in dynamical systems.
Introduction to Quantum Chaos
Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.
Phase Portrait and Non-linear Systems
Covers phase portraits, eigenvalue decomposition, Jordan decomposition, and stable nodes in non-linear 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.
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