Homoclinic and heteroclinic intersections in the periodically forced Brusselator

Journal Article · Fri Mar 31 23:00:00 EST 1989 · International Journal of Modern Physics B; (USA)

OSTI ID:5578414

Wan-Sun, N; Pei-Qing, T ^[1]; Bai-Lin, H ^[2]

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1. Institute of Acoustics, Nanjing Univ., Nanjing (CN)
2. Institute of Theoretical Physics, Beijing (CN)

The homoclinic and heteroclinic intersections of the stable and unstable manifolds of the fixed and period points in the Poincare maps of the periodically forced Brusselator have been studied by direct integration of the system using periodic-orbit following technique. Since the free limit cycle oscillator does not possess any saddle points where one may start the construction of invariant manifolds, one has to look into the Poincare sections in the extended phase space with the time axis included. The authors have followed a series of homoclinic and heteroclinic crossings and the one-piece chaotic attractor appears to be the envelope of unstable manifolds of all orders.

• OSTI ID: 5578414
• Journal Information: International Journal of Modern Physics B; (USA), Journal Name: International Journal of Modern Physics B; (USA) Vol. 3:4; ISSN 0217-9792; ISSN IJPBE
• Country of Publication: United States
• Language: English

Related Subjects

657000* -- Theoretical & Mathematical Physics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ELECTRONIC EQUIPMENT
EQUIPMENT
EXTENDED PARTICLE MODEL
LIE GROUPS
MATHEMATICAL MANIFOLDS
MATHEMATICAL MODELS
OSCILLATORS
PARTICLE MODELS
PERIODIC SYSTEM
POINCARE GROUPS
SADDLE-POINT METHOD
SYMMETRY GROUPS