Phase Mixing in Unperturbed and Perturbed Hamiltonian Systems
نویسندگان
چکیده
منابع مشابه
Perturbed S1-symmetric hamiltonian systems
Keywords--Pala is-Smale condition, Critical point theory, Hamiltonian systems, Perturbation from symmetry, Multiple periodic solutions. 1. I N T R O D U C T I O N In this paper, in the spirit of [1], we want to investigate the effect of perturbing the S l symmet ry of a general class of Hamiltonian systems. Studied around 1980 by Bahri and Berestycki in [2], the problem of finding multiple peri...
متن کاملStochastic Global Bifurcation in Perturbed Hamiltonian Systems
We study two perturbed Hamiltonian systems in which chaos-like dynamics can be induced by stochastic perturbations. We show the similarities of a class of population and laser models, analytically and topologically. Both systems have similar manifold structure that includes bi-instability and partially formed heteroclinic connections. Noise takes advantage of this structure, inducing a global b...
متن کاملPhase mixing in time - independent Hamiltonian systemsHenry
This paper describes the evolution of localised ensembles of initial conditions in two-and three-dimensional time-independent potentials which admit a coexistence of regular and chaotic orbits. The coarse-grained approach towards an invariant, or near-invariant, distribution was probed by tracking (1) moments hx i y j z k p l x p m y p n z i for i + j + k + l + m + n 4 and (2) binned representa...
متن کاملStability Theory for Dissipatively Perturbed Hamiltonian Systems
It is shown that for an appropriate class of dissipatively perturbed Hamiltonian systems, the number of unstable modes of the dynamics linearized at a nondegenerate equilibrium is determined solely by the index of the equilibriumregarded as a critical point of the Hamiltonian. In addition, the movement of the associated eigenvalues in the limit of vanishing dissipation is analyzed.
متن کاملChaotic mixing in noisy Hamiltonian systems
This paper summarises an investigation of the effects of low amplitude noise and periodic driving on phase space transport in three-dimensional Hamiltonian systems, a problem directly applicable to systems like galaxies, where such perturbations reflect internal irregularities and/or a surrounding environment. A new diagnostic tool is exploited to quantify the extent to which, over long times, ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Celestial Mechanics and Dynamical Astronomy
سال: 2004
ISSN: 0923-2958
DOI: 10.1023/b:cele.0000009380.17257.98