Chaotic layer of a pendulum under low-and medium-frequency perturbations

Autor:	V. V. Vecheslavov
Rok vydání:	2004
Předmět:	Nonlinear Sciences::Chaotic Dynamics Physics Classical mechanics Amplitude Physics and Astronomy (miscellaneous) Double pendulum Separatrix Mathematical analysis Chaotic Perturbation (astronomy) Medium frequency
Zdroj:	Technical Physics. 49:521-525
ISSN:	1090-6525 1063-7842
DOI:	10.1134/1.1758322
Popis:	The amplitude of the separatrix map and the size of a pendulum chaotic layer are studied numerically and analytically as functions of the adiabaticity parameter at low and medium perturbation frequencies. Good agreement between the theory and numerical experiment is found at low frequencies. In the medium-frequency range, the efficiency of using resonance invariants of separatrix mapping is high. Taken together with the known high-frequency asymptotics, the results obtained in this work reconstruct the chaotic layer pattern throughout the perturbation frequency range.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::52704a1c26d215f07665ca9b0023c3fe https://doi.org/10.1134/1.1758322 Zobrazit plný text záznamu Plný text ve formátu PDF