Dynamics of three coupled limit cycle oscillators with application to artificial intelligence

Autor:	Richard H. Rand, Lee Mendelowitz, Anael Verdugo
Rok vydání:	2009
Předmět:	Numerical Analysis Work (thermodynamics) Van der Pol oscillator Steady state (electronics) Applied Mathematics Content-addressable memory Stability (probability) Control theory Modeling and Simulation Limit cycle Initial value problem Statistical physics Bifurcation Mathematics
Zdroj:	Communications in Nonlinear Science and Numerical Simulation. 14:270-283
ISSN:	1007-5704
DOI:	10.1016/j.cnsns.2007.08.009
Popis:	We study a system of three limit cycle oscillators which exhibits two stable steady states. The system is modeled by both phase-only oscillators and by van der Pol oscillators. We obtain and compare the existence, stability and bifurcation of the steady states in these two models. This work is motivated by application to the design of a machine which can make decisions by identifying a given initial condition with its associated steady state.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6b4ecaece77a8ea5c7b6578033dcfac5 https://doi.org/10.1016/j.cnsns.2007.08.009 Zobrazit plný text záznamu Full Text from ScienceDirect