Dynamical systems and geometric mechanics : an introduction
Differentiable dynamical systems Geometry, Differential Mechanics, Analytic e-böcker
De Gruyter
2018
EISBN 9783110597806
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.
