Homoclinic chaos in systems perturbed by weak Langevin noise

Journal Article · Mon Jan 15 04:00:00 EST 1990 · Physical Review, A (General Physics); (USA)

DOI:https://doi.org/10.1103/PhysRevA.41.668· OSTI ID:7169769

Bulsara, A R ^[1]; Schieve, W C ^[2]; Jacobs, E W ^[1]

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1. Research Branch, Naval Ocean Systems Center, San Diego, California 92152 (USA)
2. Physics Department and Ilya Prigogine Center for Studies in Statistical Mechanics University of Texas, Austin, Texas 78712 (USA)

We consider the effect of weak additive noise on the homoclinic threshold of a driven dissipative nonlinear system. A new generalized'' Melnikov function is derived for the system and is seen to be the Melnikov function for the corresponding noise-free system plus a correction term that depends on the second-order noise characteristics. The correction term is explicitly calculated for three model systems (Duffing oscillator, Josephson junction, and rf superconducting quantum interference device (SQUID)). The effect of a distribution of dc driving terms on the chaotic attractor of a dissipative system is also examined via numerical simulation of the rf SQUID.

• OSTI ID: 7169769
• Journal Information: Physical Review, A (General Physics); (USA), Journal Name: Physical Review, A (General Physics); (USA) Vol. 41:2; ISSN PLRAA; ISSN 0556-2791
• Country of Publication: United States
• Language: English

Related Subjects

426001* -- Engineering-- Superconducting Devices & Circuits-- (1990-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ELECTRONIC EQUIPMENT
ENERGY LOSSES
EQUIPMENT
FLUXMETERS
INSTABILITY
JOSEPHSON JUNCTIONS
JUNCTIONS
LOSSES
MEASURING INSTRUMENTS
MICROWAVE EQUIPMENT
NOISE
NONLINEAR PROBLEMS
OSCILLATORS
PARAMETRIC ANALYSIS
SQUID DEVICES
SUPERCONDUCTING DEVICES
SUPERCONDUCTING JUNCTIONS