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

Journal Article · Fri Dec 31 23:00:00 EST 1982 · 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), Journal Name: Phys. Rev. A; (United States) Vol. 27:1; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

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