TY - JOUR
T1 - Anharmonicity in resonant perturbations and its effect on stochasticity extension
AU - Hennequin, P.
AU - Dubois, M. A.
AU - Nakach, R.
PY - 1992/4/20
Y1 - 1992/4/20
N2 - We analyse the effect of the separatrix shape on stochasticity onset and on diffusion in the two-wave system, and in particular the role of the separatrix angle at the hyperbolic point. Introducing anharmonicity in the expression of the perturbation, we can adjust this angle, and eventually have it go to zero. We show that, in this latter case, stochasticity appears for a substantially smaller amplitude of the perturbation and that, for a given amplitude, the diffusion coefficient is strongly enhanced. Applications to specific physical problems are discussed.
AB - We analyse the effect of the separatrix shape on stochasticity onset and on diffusion in the two-wave system, and in particular the role of the separatrix angle at the hyperbolic point. Introducing anharmonicity in the expression of the perturbation, we can adjust this angle, and eventually have it go to zero. We show that, in this latter case, stochasticity appears for a substantially smaller amplitude of the perturbation and that, for a given amplitude, the diffusion coefficient is strongly enhanced. Applications to specific physical problems are discussed.
U2 - 10.1016/0375-9601(92)91101-V
DO - 10.1016/0375-9601(92)91101-V
M3 - Article
AN - SCOPUS:22244462998
SN - 0375-9601
VL - 164
SP - 259
EP - 262
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 3-4
ER -