Classical Scattering for a driven inverted Gaussian potential in terms of the chaotic invariant set
A. Emmanouilidou, C. Jung, L. E. Reichl
Abstract
We study the classical electron scattering from a driven inverted Gaussian potential, an open system, in terms of its chaotic invariant set. This chaotic invariant set is described by a ternary horseshoe construction on an appropriate Poincare surface of section. We find the development parameters that describe the hyperbolic component of the chaotic invariant set. In addition, we show that the hierarchical structure of the fractal set of singularities of the scattering functions is the same as the structure of the chaotic invariant set. Finally, we construct a symbolic encoding of the hierarchical structure of the set of singularities of the scattering functions and use concepts from the thermodynamical formalism to obtain one of the measures of chaos of the fractal set of singularities, the topological entropy.
Create a lesson
Related papers
Experiments on an airfoil with adjustable pitch and heave under transonic buffet leading to lock-in coupling
Cédric Themiot, Vincent Brion, Arnaud Lepage
On some nonlinear extensions to Maxwell's electrodynamics
Bertrand Berche, Ernesto Medina
On-Chip Shaping of Surface Acoustic Waves via Continuous Diffractive Modulation
Yuanpeng Ma, Yang Zhao, Shangyang Chen et al.
A Shape-Preserving Shell Theorem
Penelope Messinger, Stephany M. Rodriguez, Trung V. Phan
The dual-array RopeComb: a guide-balanced transmission with synthesisable rising mechanical advantage for impedance-matched launch
Rami N. Mahdi
Automated Sailboat Navigation using Controllabilty-Aware Nonlinear Model Predicitive Control under Stochastic Winds
Junzhuo Wu, Ya-Jun J Pan, Chao Shen et al.