scholarly journals Trapping enhanced by noise in nonhyperbolic and hyperbolic chaotic scattering

2021 ◽  
pp. 105905
Author(s):  
Alexandre R. Nieto ◽  
Jesús M. Seoane ◽  
Miguel A.F. Sanjuán
Keyword(s):  
Chaotic Scattering

Devil-staircase behavior of dynamical invariants in chaotic scattering

2000 ◽  
Vol 142 (3-4) ◽  
pp. 197-216 ◽  
Author(s):  
Karol Życzkowski ◽  
Ying-Cheng Lai
Keyword(s):  
Chaotic Scattering ◽  
Dynamical Invariants

Chaotic scattering on a double well: Periodic orbits, symbolic dynamics, and scaling

1993 ◽  
Vol 3 (4) ◽  
pp. 475-485 ◽  
Author(s):  
Vincent Daniels ◽  
Michel Vallières ◽  
Jian‐Min Yuan
Keyword(s):  
Periodic Orbits ◽  
Symbolic Dynamics ◽  
Chaotic Scattering

CHAOTIC SCATTERING IN TIME-DEPENDENT HAMILTONIAN SYSTEMS

1991 ◽  
Vol 01 (03) ◽  
pp. 667-679 ◽  
Author(s):  
YING-CHENG LAI ◽  
CELSO GREBOGI
Keyword(s):  
Phase Space ◽  
Measure Zero ◽  
Invariant Set ◽  
Time Dependent ◽  
Invariant Sets ◽  
Physical Origin ◽  
Chaotic Scattering ◽  
Periodic Oscillations ◽  
Surface Of Section ◽  
Oscillating Potential

We consider the classical scattering of particles in a one-degree-of-freedom, time-dependent Hamiltonian system. We demonstrate that chaotic scattering can be induced by periodic oscillations in the position of the potential. We study the invariant sets on a surface of section for different amplitudes of the oscillating potential. It is found that for small amplitudes, the phase space consists of nonescaping KAM islands and an escaping set. The escaping set is made up of a nonhyperbolic set that gives rise to chaotic scattering and remains of KAM islands. For large amplitudes, the phase space contains a Lebesgue measure zero invariant set that gives rise to chaotic scattering. In this regime, we also discuss the physical origin of the Cantor set responsible for the chaotic scattering and calculate its fractal dimension.

Exponential decay and scaling laws in noisy chaotic scattering

2008 ◽  
Vol 372 (2) ◽  
pp. 110-116 ◽  
Author(s):  
Jesús M. Seoane ◽  
Miguel A.F. Sanjuán
Keyword(s):  
Exponential Decay ◽  
Scaling Laws ◽  
Chaotic Scattering

Quantum‐chaotic scattering effects in semiconductor microstructures

1993 ◽  
Vol 3 (4) ◽  
pp. 665-682 ◽  
Author(s):  
Harold U. Baranger ◽  
Rodolfo A. Jalabert ◽  
A. Douglas Stone
Keyword(s):  
Chaotic Scattering ◽  
Scattering Effects

scholarly journals Chaotic scattering around black holes

1997 ◽  
Vol 224 (4-5) ◽  
pp. 234-238 ◽  
Author(s):  
Juan M. Aguirregabiria
Keyword(s):  
Black Holes ◽  
Chaotic Scattering
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