Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2010-02-02
Nonlinear Sciences
Chaotic Dynamics
This paper has been withdrawn by the author due to errors in Fig. 3 and faulty conclusions drawn from Fig. 4
Scientific paper
10.1103/PhysRevE.81.046218
We develop an effective description of noise-induced oscillations based on deterministic phase dynamics. The phase equation is constructed to exhibit correct frequency and distribution density of noise-induced oscillations. In the simplest one-dimensional case the effective phase equation is obtained analytically, whereas for more complex situations a simple method of data processing is suggested. As an application an effective coupling function is constructed that quantitatively describes periodically forced noise-induced oscillations.
Pikovsky Arkady
Schwabedal Justus T. C.
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