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Table of Contents
Linear systems
Linearization of trajectories
Invariant manifolds
Periodic orbits
Bifurcations and chaos
Differentiable manifolds
Lagrangian mechanics
Hamiltonian mechanics
Lie groups and rigid body mechanics
Moving frames and nonholonomic mechanics
Fiber bundles and nonholonomic mechanics.
Linearization of trajectories
Invariant manifolds
Periodic orbits
Bifurcations and chaos
Differentiable manifolds
Lagrangian mechanics
Hamiltonian mechanics
Lie groups and rigid body mechanics
Moving frames and nonholonomic mechanics
Fiber bundles and nonholonomic mechanics.