Stellar Orbits: Stability and Resonances

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Explores stellar orbits in rotating potentials, focusing on surfaces of section, integrals of motion, and stability around Lagrange points.

Explores stellar orbits in galaxies, focusing on Oort constants, integrals of motion, and galactic potentials.

Explores one-dimensional maps, periodic solutions, and bifurcations in dynamical systems.

Introduces equilibrium points and bifurcations in differential equations, discussing their stability and relevance in various contexts.

Explores flip and Andronov-Hopf bifurcations, showing how systems change equilibrium points and stability.

Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.

Covers Hopf bifurcations, pitchfork bifurcations, and the Lorenz system in nonlinear dynamics and chaos.

Explores the concept of limit cycles in biological systems and their significance in understanding system dynamics.

Covers bifurcations, long-term dynamics, logistic map, universality, and correspondence between different maps.

Explores logistic maps, bifurcations, equilibrium points, and periodic orbits in nonlinear dynamics and chaos.