Periodic precursors of nonlinear dynamical transitions

Y. Jiang, Shi Hai Dong, M. Lozada-Cassou

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We study the resonant response of a nonlinear system to external periodic perturbations. We show by numerical simulation that the periodic resonance curve may anticipate the dynamical instability of the unperturbed nonlinear periodic system, at parameter values far away from the bifurcation points. In the presence of noise, the buried intrinsic periodic dynamics can be picked out by analyzing the system’s response to periodic modulation of appropriate intensity.

Original languageEnglish
Pages (from-to)4
Number of pages1
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume70
Issue number2
DOIs
StatePublished - 2004
Externally publishedYes

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