Switching between bistable states in a discrete nonlinear model with long-range dispersion

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 57, Issue 4, 1998, Pages 4739-4742

  Johansson, Magnus ^a   Gaididei, Yuri B ^b   Christiansen, Peter L ^a   Rasmussen, K O ^a  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

^b BOGOLYUBOV INSTITUTE FOR THEORETICAL PHYSICS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0004575138     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.4739     Document Type: Article

References (20)

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15. We remark that since H+ and H- are time independent, the approach used here is equivalent to the standard Floquet analysis that was used, e.g., in 7811. Namely, if μ is an eigenvalue of M, then λ=eμT, where T=2π/Λ is an eigenvalue of the Floquet matrix for the same eigenvector.
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20. We remark that a state close to the instability regime in general has a larger value of the Hamiltonian than its bistable counterpart. Thus, when|αth|is small the switching can be viewed as a transition from a metastable state to a ground state.