COEXISTENCE OF HYPERBOLIC AND NONHYPERBOLIC CHAOTIC SCATTERING

被引：7

作者：

DROZDZ, S ^{[1
]}

OKOLOWICZ, J ^{[1
]}

SROKOWSKI, T ^{[1
]}

机构：

[1] FORSCHUNGSZENTRUM JULICH, FORSCHUNGSZENTRUM, INST KERNPHYS, W-5170 JULICH, GERMANY

来源：

PHYSICAL REVIEW E | 1993年 / 48卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.48.4851

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

Chaotic scattering at different projectile incident energies is studied for a model which involves a two-body van der Waals-type interaction. At higher energies one finds characteristics typical for hyperbolic chaotic scattering. For sufficiently low energies hyperbolic and nonhyperbolic chaotic scattering are found to coexist at the same energy. The mechanism of this coexistence is discussed in terms of the Lyapunov exponent and the fractal dimension. Arguments are put forward for an increase in the fractal dimension of the set of singularities leading to nonhyperbolic chaotic scattering.

引用

页码：4851 / 4854

页数：4

共 50 条

[21] Stability properties of nonhyperbolic chaotic attractors with respect to noise
Kraut, S
Grebogi, C
PHYSICAL REVIEW LETTERS, 2004, 93 (25)
[22] Reactive dynamics of inertial particles in nonhyperbolic chaotic flows
Motter, AE
Lai, YC
Grebogi, C
PHYSICAL REVIEW E, 2003, 68 (05):
[23] THE GENERALIZED THERMODYNAMIC FORMALISM APPLIED TO HYPERBOLIC AND NONHYPERBOLIC MODELS
STOOP, R
ACTA PHYSICA POLONICA B, 1992, 23 (04): : 323 - 329
[24] Stabilizing near-nonhyperbolic chaotic systems with applications
Huang, DB
PHYSICAL REVIEW LETTERS, 2004, 93 (21)
[25] A novel 4D chaotic system with nonhyperbolic hyperbolic shape equilibrium points: Analysis, circuit implementation and color image encryption
Cai, Xinshan
Liu, Chongxin
Wang, Yaoyu
Zhang, Hao
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2019, 33 (31):
[26] SCALING LAWS FOR INVARIANT-MEASURES ON HYPERBOLIC AND NONHYPERBOLIC ATTRACTORS
GRASSBERGER, P
BADII, R
POLITI, A
JOURNAL OF STATISTICAL PHYSICS, 1988, 51 (1-2) : 135 - 178
[27] A Novel Megastable Hamiltonian System with Infinite Hyperbolic and Nonhyperbolic Equilibria
Leutcho, Gervais Dolvis
Fozin, Theophile Fonzin
Negou, Alexis Nguomkam
Njitacke, Zeric Tabekoueng
Pham, Viet-Thanh
Kengne, Jacques
Jafari, Sajad
COMPLEXITY, 2020, 2020
[28] Unexpected robustness against noise of a class of nonhyperbolic chaotic attractors
Kantz, H
Grebogi, C
Prasad, A
Lai, YC
Sinde, E
PHYSICAL REVIEW E, 2002, 65 (02):
[29] Relativistic quantum tunneling of a Dirac fermion in nonhyperbolic chaotic systems
Ni, Xuan
Huang, Liang
Ying, Lei
Lai, Ying-Cheng
PHYSICAL REVIEW B, 2013, 87 (22)
[30] Unstable periodic orbits and the natural measure of nonhyperbolic chaotic saddles
Dhamala, M
Lai, YC
PHYSICAL REVIEW E, 1999, 60 (05): : 6176 - 6179

← 1 2 3 4 5 →