Special Issue on Advances in Oscillator Analysis and Design; Guest Editors: A. S. Elwakil (Univ. of Sharjah, Emirates), T. Ueta (Tokushima Univ., Japan) and K. N. Salama (King Abdullah Univ. of Science and Technology, Saudi Arabia)No Access

PHASE MODEL REDUCTION AND SYNCHRONIZATION OF PERIODICALLY FORCED NONLINEAR OSCILLATORS

MICHELE BONNIN

Department of Electronics, Politecnico di Torino, Corso Duca degli Abruzzi 24, Turin, 10129, Italy

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FERNANDO CORINTO

Department of Electronics, Politecnico di Torino, Corso Duca degli Abruzzi 24, Turin, 10129, Italy

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, and

MARCO GILLI

Department of Electronics, Politecnico di Torino, Corso Duca degli Abruzzi 24, Turin, 10129, Italy

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https://doi.org/10.1142/S0218126610006414Cited by:8 (Source: Crossref)

Abstract

Phase models represent the ideal framework to investigate the synchronization of a nonlinear oscillator with an external forcing. While many researches focused the attention to their analysis, little work has been done about the reduction of a physical system to the corresponding phase model. In this paper we show how, resorting to averaging techniques, it is possible to obtain the phase model corresponding to a given set of state equations. As examples, we derive the phase equations and investigate the synchronization properties of two popular nonlinear oscillators.

Keywords:

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