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Lectures on Dynamical Systems

Hamiltonian Vector Fields and Symplectic Capacities

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E-Book (Individual) €41.30

Print Book €41.30

Dates

Published: 19 May 2010

DOI: 10.4171/081
ISBN print: 978-3-03719-081-4
ISBN digital: 978-3-03719-581-9

Keywords

Dynamical systems
ergodicity
transitivity
structural stability
stable and unstable manifolds
hyperbolic sets
shadowing lemma
homoclinic and heteroclinic orbits
Bernoulli systems
chaos
limit sets
Lyapunov function
gradient systems
Morse inequalities
symplectic maps
Hamiltonian vector fields
Hamiltonian formalism
integrable systems
symplectic capacities
Hofer–Zehnder capacity
action functional
mini-max principles
periodic motions on prescribed energy surfaces

Mathematics Subject Classification

37-01
37A25
37B25
37C10
37C20
37C27
37C29
37C50
37D05
37J35
37N05
34C25
34C28
34C37
34C45
34D20
70H15
70H05
70H25
53D35
53C24
53D05
58E05
58E30

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