论文信息 - Transient chaos in a generalized Hénon map on the torus

Transient chaos in a generalized Hénon map on the torus

Abstract A generalized Henon system on a torus is considered to investigate some phenomena of transient chaos in weakly dissipative systems. A simple relationship is numerically verified between the life time of chaos and other parameters of the model.

F. M. Izrailev | B. Timmermann | W. Timmermann

[1] Holger Kantz,et al. Repellers, semi-attractors, and long-lived chaotic transients , 1985 .

[2] Bernd Pompe,et al. Experiments on periodic and chaotic motions of a parametrically forced pendulum , 1985 .

[3] Tsang,et al. Transient chaos in dissipatively perturbed near-integrable Hamiltonian systems. , 1985, Physical review letters.

[4] Michael A. Lieberman,et al. Transient chaotic distributions in dissipative systems , 1986 .

[5] A. Lichtenberg,et al. Regular and Stochastic Motion , 1982 .

[6] Grebogi,et al. Critical exponent of chaotic transients in nonlinear dynamical systems. , 1986, Physical review letters.

[7] Michael A. Lieberman,et al. Stochastic and Adiabatic Behavior of Particles Accelerated by Periodic Forces , 1972 .

[8] James A. Yorke,et al. Metastable chaos: The transition to sustained chaotic behavior in the Lorenz model , 1979 .

[9] M. Hénon,et al. A two-dimensional mapping with a strange attractor , 1976 .

[10] B. Chirikov,et al. Degeneration of turbulence in simple systems , 1981 .