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On the chaotic diffusion in multidimensional Hamiltonian systems
(Springer, 2018-01)
We present numerical evidence that diffusion in the herein studied multidimensional near-integrable Hamiltonian systems departs from a normal process, at least for realistic timescales. Therefore, the derivation of a ...
Chirikov diffusion in the asteroidal three-body resonance (5, −2, −2)
(Springer, 2010-09)
The theory of diffusion in many-dimensional Hamiltonian system is applied to asteroidal dynamics. The general formulation developed by Chirikov is applied to the Nesvorný-Morbidelli analytic model of three-body (three-orbit) ...
Chirikov diffusion in the asteroidal three-body resonance (5,-2,-2)
(SPRINGER, 2010)
The theory of diffusion in many-dimensional Hamiltonian system is applied to asteroidal dynamics. The general formulation developed by Chirikov is applied to the NesvornA1/2-Morbidelli analytic model of three-body (three-orbit) ...
The Shannon entropy as a measure of diffusion in multidimensional dynamical systems
(Springer, 2018-04)
In the present work, we introduce two new estimators of chaotic diffusion based on the Shannon entropy. Using theoretical, heuristic and numerical arguments, we show that the entropy, S, provides a measure of the diffusion ...
Chaotic diffusion for particles moving in a time dependent potential well
(2020-10-09)
The chaotic diffusion for particles moving in a time dependent potential well is described by using two different procedures: (i) via direct evolution of the mapping describing the dynamics and; (ii) by the solution of the ...
Mean Motion in Stochastic Plasmas With a Space-Dependent Diffusion Coefficient
(WILEY-V C H VERLAG GMBH, 2009)
Radial transport in the tokamap, which has been proposed as a simple model for the motion in a stochastic plasma, is investigated. A theory for previous numerical findings is presented. The new results are stimulated by ...
Chaotic diffusion in multidimensional conservative maps
(World Scientific, 2012-09)
In the present effort we provide results and discussions concerning the processes that lead to local and global chaotic diffusion in phase space of multidimensional conservative systems. We investigate and provide a ...