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Titlebook: Hamiltonian Mechanics; Integrability and Ch John Seimenis Book 1994 Springer Science+Business Media New York 1994 Hamiltonian.Potential.bif

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https://doi.org/10.1007/978-1-4419-8618-4ble orbits are spirals, described by a linear theory. In their vicinity there is an infinity of periodic orbits arranged along certain spirals. The asymptotic curves of doubly unstable orbits oscillate in a way different from that of unstable 2-D systems.
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Averaging under Fast Quasiperiodic Forcingde to the splitting of the separatrices of a two-dimensional normally hyperbolic torus, including several aspects: formal approximation of the torus and their invariant manifolds, numerical computations of the splitting, a first order analysis using a Melnikov approach and the bifurcations of the set of homoclinic orbits.
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On the Tendency Toward Ergodicity with Increasing Number of Degrees of Freedom in Hamiltonian System decreases strongly. Nevertheless, due to observed very long time correlated behavior, a conclusion of effective gross ergodicity cannot be confirmed, even though extremely long numerical runs were employed.
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https://doi.org/10.1007/978-1-4757-6775-9n high dimension. In this contribution we address this question in the context of Hamiltonian dynamics, choosing a specific coupled rotators model on a 1-D lattice.. We develop simple . calculations of dynamical chaos indicators, which enable us to identify the energy region where the desired fast relaxation takes place.
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Gibbsian Check of the Validity of Gibbsian Calculation through Dynamical Observablesn high dimension. In this contribution we address this question in the context of Hamiltonian dynamics, choosing a specific coupled rotators model on a 1-D lattice.. We develop simple . calculations of dynamical chaos indicators, which enable us to identify the energy region where the desired fast relaxation takes place.
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