Dynamics of a ring of three coupled relaxation oscillators

Autor:	L. Mendelowitz, Si Mohamed Sah, Richard H. Rand, Anael Verdugo, Jacqueline Bridge
Rok vydání:	2009
Předmět:	Numerical Analysis Van der Pol oscillator Classical mechanics Transcendental equation Applied Mathematics Modeling and Simulation Nonlinear vibration Relaxation oscillator Perturbation (astronomy) Mathematics Numerical integration
Zdroj:	Communications in Nonlinear Science and Numerical Simulation. 14:1598-1608
ISSN:	1007-5704
DOI:	10.1016/j.cnsns.2008.05.012
Popis:	The dynamics of a ring of three identical relaxation oscillators is shown to exhibit a variety of periodic motions, including clockwise and counter-clockwise wave-like modes, and a synchronous mode in which all three oscillators are in phase. The model involves individual oscillators which exhibit sudden jumps, modeling the relaxation oscillations of van der Pol oscillators. Methods include (i) numerical integration, (ii) a semi-analytical method involving solving transcendental equations numerically, and (iii) perturbation methods. A variety of bifurcations of the periodic motions are identified. This work is motivated by application to the design of a decision-making machine which can sort initial conditions according to their steady state.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9436b627af4bff956ed8cdba93be31c5 https://doi.org/10.1016/j.cnsns.2008.05.012 Zobrazit plný text záznamu Full Text from ScienceDirect