Metamorphoses of amplitude curves in a system of coupled oscillators. The case of degenerate singular points

Autor:	Jan Kyzioł, Andrzej Okninski
Rok vydání:	2018
Předmět:	Physics Nonlinear system Yield (engineering) Amplitude Degenerate energy levels Dynamics (mechanics) Mathematical analysis Motion (geometry) Control parameters
Zdroj:	AIP Conference Proceedings.
ISSN:	0094-243X
DOI:	10.1063/1.5019086
Popis:	We study dynamics of two coupled periodically driven oscillators. The internal motion is separated off exactly to yield a nonlinear fourth-order equation describing inner dynamics. Periodic steady-state solutions of the fourth-order equation are determined within the Krylov-Bogoliubov-Mitropolsky (KBM) approach and the corresponding amplitude profiles are computed. Metamorphoses of these amplitude curves induced by changes of control parameters and the resulting changes of dynamics are studied. In the present paper we investigate changes of dynamics near degenerate singular points of the amplitude profiles.
Databáze:	OpenAIRE
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