Complete hyperbolicity in Hamiltonian systems with linear potential and elastic collisions

DOI10.1016/S0034-4877(99)80172-4zbMath0999.37040MaRDI QIDQ1573856

Maciej P. Wojtkowski

Publication date: 9 August 2000

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Lyapunov exponentsHamiltonian systemcompletely hyperbolic systems

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Dynamical systems with hyperbolic behavior (37D99)

Related Items (4)

Design of hyperbolic billiards ⋮ Near Tangent Dynamics in a Class of Hamiltonian Impact Systems ⋮ Non-uniform ergodic properties of Hamiltonian flows with impacts ⋮ Abstract state-space models for a class of linear hyperbolic systems of balance laws

Cites Work

• The characteristic exponents of the falling ball model
• A system of one-dimensional balls with gravity
• The system of one-dimensional balls in an external field. II
• Numerical study of a billiard in a gravitational field
• Invariant manifolds, entropy and billiards; smooth maps with singularities. With the collab. of F. Ledrappier and F. Przytycki
• Lyapunov functions and topological stability
• The ergodicity of a Hamiltonian system of two particles in an external field
• Invariant families of cones and Lyapunov exponents
• Measure theoretic entropy of the system of hard spheres
• Scattering and Coxeter groups
• Chaotic dynamics, fluctuations, nonequilibrium ensembles
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