Exported oscillator competition: A concept to analyze complex rhythms

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A. M. Lacasta,¹ J. M. Sancho,² and F. Sagués³
¹Departament de Física Aplicada, Universitat Politècnica de Catalunya, Avinguda Gregorio Marañon 44, E-08028 Barcelona, Spain
²Departament d'Estructura i Constituents de la Matèria, Universitat de Barcelona, Diagonal 647, E-08028 Barcelona, Spain
³Departament de Química Física, Universitat de Barcelona, and Diagonal 647, E-08028 Barcelona, Spain

Received 23 May 2005; published 10 January 2006

Westudy the interaction between two independent nonlinear oscillators competing througha neutral excitable element. The first oscillator, completely deterministic, actsas a normal pacemaker sending pulses to the neutral elementwhich fires when it is excited by these pulses. Thesecond oscillator, endowed with some randomness, though unable to makethe excitable element to beat, leads to the occasional suppressionof its firing. The missing beats or errors are registeredand their statistics analyzed in terms of the noise intensityand the periods of both oscillators. This study is inspiredin some complex rhythms such as a particular class ofheart arrhythmia.

URL:	http://link.aps.org/doi/10.1103/PhysRevE.73.016206
DOI:	10.1103/PhysRevE.73.016206
PACS:	05.45.Xt; 05.40.-a; 89.75.Kd 05.45.Xt Synchronization; coupled oscillators (nonlinear dynamical systems) 05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion 89.75.Kd Patterns YEAR: 2006
KEYWORDS:	nonlinear dynamical systems, random processes, statistical analysis

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