Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/207620
Title: | A Remark on the Onset of Resonance Overlap |
Author: | Fejoz, Jacques Guàrdia Munárriz, Marcel |
Keywords: | Sistemes hamiltonians Sistemes dinàmics diferenciables Pertorbació (Matemàtica) Hamiltonian systems Differentiable dynamical systems Perturbation (Mathematics) |
Issue Date: | 1-Sep-2023 |
Publisher: | Pleiades Publishing |
Abstract: | Chirikov’s celebrated criterion of resonance overlap has been widely used in celestial mechanics and Hamiltonian dynamics to detect global instability, but is rarely rigorous. We introduce two simple Hamiltonian systems, each depending on two parameters measuring, respectively, the distance to resonance overlap and nonintegrability. Within some thin region of the parameter plane, classical perturbation theory shows the existence of global instability and symbolic dynamics, thus illustrating Chirikov’s criterion. |
Note: | Versió postprint del document publicat a: https://doi.org/10.1134/S1560354723040056 |
It is part of: | Regular and Chaotic Dynamics, 2023, vol. 28, num.4, p. 578-584 |
URI: | http://hdl.handle.net/2445/207620 |
Related resource: | https://doi.org/10.1134/S1560354723040056 |
ISSN: | 1560-3547 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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842141.pdf | 1.62 MB | Adobe PDF | View/Open |
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