Bifurcations of a Forced Magnetic Oscillator near Points of Resonance
- 16 July 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 53 (3) , 250-253
- https://doi.org/10.1103/physrevlett.53.250
Abstract
We study a forced symmetric oscillator containing a saturable inductor with magnetic hysteresis, approximated by a noninvertible map of the plane. The system displays a Hopf bifurcation to quasiperiodicity, entrainment horns, and chaos. Behavior near points of resonance (weak and strong) is found to correspond well with Arnold's theory. Within an entrainment horn, we observe symmetry breaking, period doubling, and complementary band merging. The symmetry behavior is explained by use of the concept of a half-cycle map.Keywords
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