Ebook: Introduction to Hamiltonian Dynamical Systems and the N-Body Problem

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Content:
Front Matter....Pages i-xii
Hamiltonian Differential Equations and the N-Body Problem....Pages 1-32
Linear Hamiltonian Systems....Pages 33-71
Exterior Algebra and Differential Forms....Pages 72-86
Symplectic Transformations and Coordinates....Pages 87-108
Introduction to the Geometric Theory of Hamiltonian Dynamical Systems....Pages 109-153
Continuation of Periodic Solutions....Pages 154-167
Perturbation Theory and Normal Forms....Pages 168-200
Bifurcations of Periodic Orbits....Pages 201-226
Stability and KAM Theory....Pages 227-240
Twist Maps and Invariant Curves....Pages 241-278
Back Matter....Pages 279-294

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Content:
Front Matter....Pages i-xii
Hamiltonian Differential Equations and the N-Body Problem....Pages 1-32
Linear Hamiltonian Systems....Pages 33-71
Exterior Algebra and Differential Forms....Pages 72-86
Symplectic Transformations and Coordinates....Pages 87-108
Introduction to the Geometric Theory of Hamiltonian Dynamical Systems....Pages 109-153
Continuation of Periodic Solutions....Pages 154-167
Perturbation Theory and Normal Forms....Pages 168-200
Bifurcations of Periodic Orbits....Pages 201-226
Stability and KAM Theory....Pages 227-240
Twist Maps and Invariant Curves....Pages 241-278
Back Matter....Pages 279-294
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