Smooth dynamics

Smooth dynamics studies differentiable maps and flows: hyperbolicity, stable manifolds and shadowing, Lyapunov exponents and entropy, Hamiltonian perturbation theory, and stability of flows given by differential equations.

• Entropy, dimension and Lyapunov exponents
• Kolmogorov–Arnold–Moser theorem
• LaSalle's invariance principle
• Shadowing lemma
• Stable manifold theorem

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