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Ergodicity and Entrainment in a System of Electrical Relaxation Oscillators
Author(s) -
Grossmann S.,
Schnedler E.,
Thomae S.
Publication year - 1985
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19854970310
Subject(s) - entrainment (biomusicology) , ergodicity , relaxation oscillator , mixing (physics) , ergodic theory , statistical physics , physics , relaxation (psychology) , mechanics , quantum mechanics , mathematics , mathematical analysis , rhythm , voltage , acoustics , voltage controlled oscillator , psychology , social psychology
Abstract We consider a system of two coupled relaxation oscillators. This model has been suggested, incorrectly, by other authors as a simple model of chaos. We show that this system is at most ergodic but never mixing. The spectra of both oscillators can be understood in terms of a mutual phase modulation. Finally we include entrainment effects in our description and compare our results with some measurements performed on an electric circuit.