ARNOL’D DIFFUSION IN A SIMPLE NONLINEAR SYSTEM: ANALYTICAL ESTIMATIONS AND NUMERICAL SIMULATION
Cite this article as:
Malyshev А. I., Chizhova L. А. ARNOL’D DIFFUSION IN A SIMPLE NONLINEAR SYSTEM: ANALYTICAL ESTIMATIONS AND NUMERICAL SIMULATION. Izvestiya VUZ. Applied Nonlinear Dynamics, 2009, vol. 17, iss. 1, pp. 46-56. DOI: https://doi.org/10.18500/0869-6632-2009-17-1-46-56
We consider the Arnol’d diffusion in a system with 2.5 degrees of freedom along a resonance with an external oscillating field. The analytical estimation of the diffusion coefficient we made is in a good agreement with numerical results. It’s also shown that both the amplitude of external field and the parameter of weak interaction between two spatial degrees of freedom have an influence on Arnol’d diffusion manifestation and its rate.
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BibTeX
author = {А. I. Malyshev and L. А. Chizhova},
title = {ARNOL’D DIFFUSION IN A SIMPLE NONLINEAR SYSTEM: ANALYTICAL ESTIMATIONS AND NUMERICAL SIMULATION},
year = {2009},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {17},number = {1},
url = {https://old-andjournal.sgu.ru/en/articles/arnold-diffusion-in-simple-nonlinear-system-analytical-estimations-and-numerical-simulation},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2009-17-1-46-56},pages = {46--56},issn = {0869-6632},
keywords = {Nonlinear resonance,Arnol’d diffusion.},
abstract = {We consider the Arnol’d diffusion in a system with 2.5 degrees of freedom along a resonance with an external oscillating field. The analytical estimation of the diffusion coefficient we made is in a good agreement with numerical results. It’s also shown that both the amplitude of external field and the parameter of weak interaction between two spatial degrees of freedom have an influence on Arnol’d diffusion manifestation and its rate. }}