Direct observation of crises of the chaotic attractor in a nonlinear oscillator

Journal Article · Sat Jan 01 00:00:00 EST 1983 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.27.601· OSTI ID:6205167

Jeffries, C; Perez, J

For a driven nonlinear oscillator we report direct evidence for three cases of an interior crisis of the attractor, as conjectured by Grebogi, Ott, and Yorke. These crises are sudden and discontinuous changes in the attractor, observed directly from bifurcation diagrams and attractor diagrams (Poincare sections) in real time. The crises arise from intersection of an unstable orbit with the chaotic attractor.

• Research Organization: Materials and Molecular Research Division, Lawrence Berkeley Laboratory, and Department of Physics, University of California, Berkeley, California 94720
• OSTI ID: 6205167
• Journal Information: Phys. Rev. A; (United States), Vol. 27:1
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
OSCILLATORS
NONLINEAR PROBLEMS
STATISTICAL MECHANICS
DIFFERENTIAL EQUATIONS
HYSTERESIS
INSTABILITY
ORBITS
PHASE SPACE
SEMICONDUCTOR MATERIALS
TURBULENCE
ELECTRONIC EQUIPMENT
EQUATIONS
EQUIPMENT
MATERIALS
MATHEMATICAL SPACE
MECHANICS
SPACE
657006* - Theoretical Physics- Statistical Physics & Thermodynamics- (-1987)
656000 - Condensed Matter Physics