Noise-induced escape through a fractal basin boundary

Physica A: Statistical Mechanics and its Applications

Volumn 327, Issue 3-4, 2003, Pages 371-377

  Silchenko, A N ^a   Luchinsky, D G ^a   McClintock, P V E ^a  

^a LANCASTER UNIVERSITY   (United Kingdom)

Author keywords

Fractal basin boundary; Hierarchy; Noise induced escape; Saddle cycles

Indexed keywords

CHAOS THEORY; FRACTALS; HIERARCHICAL SYSTEMS; NONLINEAR SYSTEMS;

SADDLE CYCLES;

SPURIOUS SIGNAL NOISE;

EID: 0141569667     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(03)00265-6     Document Type: Article

References (15)

1. Onsager L., Machlup S. Fluctuations and irreversible processes. Phys. Rev. 91:1953;1505-1512.
2. Dykman M.I., McClintock P.V.E., Smelyanskiy V.N., Stein N.D., Stocks N.G. Optimal paths and the prehistory problem for large fluctuations in noise driven systems. Phys. Rev. Lett. 68:1992;2718-2721.
3. Freidlin M.I., Wentzel A.D. Random Perturbations in Dynamical Systems. 1984;Springer, Berlin.
4. Kautz R.L. Activation energy for thermally induced escape from a basin of attraction. Phys. Lett. A. 125:1987;315-319.
5. Beale P.D. Noise-induced escape from attractor in one-dimensional maps. Phys. Rev. A. 40:1989;3998-4003.
6. Grassberger P. Noise-induced escape from attractors. J. Phys. A: Math. Gen. 22:1989;3283-3290.
7. Graham R., Hamm A., Tel T. Nonequilibrium potentials for dynamical systems with fractal attractors or repellers. Phys. Rev. Lett. 66:1991;3089-3092.
8. Soskin S.M., Arrays M., Mannella R., Silchenko A.N. Strong enhancement of noise-induced escape by non-adiabatic periodic driving due to transient chaos. Phys. Rev. E. 63:2001;051111-051116.
9. Luchinsky D.G., Khovanov I.A. Fluctuation-induced escape from the basin of attraction of a quasiattractor. JETP Lett. 69:1999;825-830.
10. Luchinsky D.G., McClintock P.V.E., Dykman M.I. Analogue studies of nonlinear systems. Rep. Prog. Phys. 61:1998;889-997.
11. Khovanov I.A., Luchinsky D.G., McClintock P.V.E., Mannella R. Fluctuations and the energy-optimal control of chaos. Phys. Rev. Lett. 85:2000;2100-2103.
12. Holmes P. A nonlinear oscillator with a strange attractor. Philos. Trans. Roy. Soc. A. 292:1979;419-448.
13. McDonald S.W., Grebogi C., Ott E., Yorke J.A. Fractal basin boundaries. Physica D. 17:1985;125-153.
14. Grebogi C., Ott E., Yorke J.A. Basin boundary metamorphoses. changes in accessible boundary points Physica D. 24:1987;243-262.
15. Maier R.S., Stein D.L. Limiting exit location distributions in the stochastic exit problem. SIAM J. Appl. Math. 57:1997;752-790.