Exported oscillator competition: a concept to analyze complex rhythms

We study the interaction between two independent nonlinear oscillators competing through a neutral excitable element. The first oscillator, completely deterministic, acts as a normal pacemaker sending pulses to the neutral element which fires when it is excited by these pulses. The second oscillator...

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Bibliographic Details
Authors: Lacasta Palacio, Ana María|||0000-0002-9060-6043, Sancho, Jose Maria, Sagués Mestre, Francesc
Format: article
Publication Date:2005
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/2502
Online Access:https://hdl.handle.net/2117/2502
https://dx.doi.org/10.1103/PhysRevE.73.016206
Access Level:Open access
Keyword:Nonlinear oscillators
Excitation (Physiology)
Nonlinear systems
Nonlinear dynamics
Excitation
Random processes
Sistemes no lineals
Àrees temàtiques de la UPC::Física
Àrees temàtiques de la UPC::Matemàtiques i estadística
Description
Summary:We study the interaction between two independent nonlinear oscillators competing through a neutral excitable element. The first oscillator, completely deterministic, acts as a normal pacemaker sending pulses to the neutral element which fires when it is excited by these pulses. The second oscillator, endowed with some randomness, though unable to make the excitable element to beat, leads to the occasional suppression of its firing. The missing beats or errors are registered and their statistics analyzed in terms of the noise intensity and the periods of both oscillators. This study is inspired in some complex rhythms such us a particular class of heart arrhythmia.