Stellar Orbits: Integrals of Motion and Phase Space Visualization

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

Eigenstate Thermalization Hypothesis

Explores the Eigenstate Thermalization Hypothesis in quantum systems, emphasizing the random matrix theory and the behavior of observables in thermal equilibrium.

Dynamics of Discrete Systems

Covers the dynamics of discrete systems and the concept of orbits in Riemann varieties.

Nonlinear Dynamics: Homoclinic Orbits and Bifurcations

Delves into homoclinic orbits, bifurcations, and limit cycles in nonlinear dynamics.

Conservation Laws in Central Motion

Explores conservation laws in central motion, showcasing how energy levels affect orbits.

Dynamical Systems: Maps and Stability

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

Stellar Orbits: Lagrange Points

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

Hamiltonian Mechanics: Diatomic Molecules

Explores Hamiltonian mechanics in diatomic molecules, emphasizing polar coordinates and conservation laws.

Gateways to the Moon and Local Floer Homology

Explores the problem of a falling stone hitting the moon, focusing on gateways to the moon and local Floer homology.

Dynamical Systems for Engineers

Covers the theoretical basis of linear and nonlinear dynamical systems for engineers.