Bifurcations of a forced magnetic oscillator near points of resonance

Journal Article · Mon Jul 16 00:00:00 EDT 1984 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.53.250· OSTI ID:6571548

Bryant, P; Jeffries, C

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 half-cycle map.

• Research Organization: Department of Physics, University of California, Berkeley, California 94720 and MMRD, Lawrence Berkeley Laboratory, Berkeley, California 94720
• DOE Contract Number: AC03-76SF00098
• OSTI ID: 6571548
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 53:3; ISSN PRLTA
• Country of Publication: United States
• Language: English

Related Subjects

640400* -- Fluid Physics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
DYNAMICS
ELECTRONIC EQUIPMENT
EQUIPMENT
HYSTERESIS
MAGNETIC FIELDS
MAPS
MECHANICS
NONLINEAR PROBLEMS
OSCILLATORS
SYMMETRY
TOPOGRAPHY