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Influence of Noise on Duffing‐Van der Pol Oscillators
Author(s) -
Ebeling W.,
Herzel H.,
Richert W.,
SchimanskyGeier L.
Publication year - 1986
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19860660303
Subject(s) - van der pol oscillator , white noise , noise (video) , lyapunov exponent , symmetry (geometry) , statistical physics , hopf bifurcation , stationary distribution , physics , duffing equation , bifurcation , mathematics , nonlinear system , computer science , quantum mechanics , statistics , geometry , artificial intelligence , markov chain , image (mathematics)
The stochastic motions of Duffing‐Van der Pol oscillators driven by white noise are investigated by using several theoretical methods: analytical and numerical calculations of the stationary probability distribution, analysis of the Hopf bifurcation, computer simulations and study of Lyapunov exponents. One observes a break of the radial symmetry and noise induced oscillations.