Scaling behavior of the maximum energy exchange between coupled anharmonic oscillators

T. Eisenhammer, A. Hübler, T. Geisel, E. Lüscher

Research output: Contribution to journalArticlepeer-review


The maximum energy exchange of two harmonically coupled nonlinear oscillators is investigated. We calculate the maximum energy exchange close to resonance and show that the corresponding resonance curves have a universal shape and become broader and smaller when the amplitude-frequency coupling becomes large. Since there is a large variety of nonlinear oscillators where the trajectories are nearly homothetic curves in a phase-space representation, we furthermore investigate the special situation where the oscillators are homothetic. We argue that in this case there is a scaling of the maximum energy exchange at resonance. Numerical investigations show that these relations remain valid if the oscillators are slightly damped or perturbed by random noise.

Original languageEnglish (US)
Pages (from-to)3332-3342
Number of pages11
JournalPhysical Review A
Issue number6
StatePublished - 1990
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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