New developments in classical chaotic scattering
Classical chaotic scattering is a topic of fundamental interest in nonlinear physics due to the
numerous existing applications in fields such as celestial mechanics, atomic and nuclear …
numerous existing applications in fields such as celestial mechanics, atomic and nuclear …
Diffusion in the Lorentz gas
The Lorentz gas, a point particle making mirror-like reflections from an extended collection of
scatterers, has been a useful model of deterministic diffusion and related statistical …
scatterers, has been a useful model of deterministic diffusion and related statistical …
The Chaplygin sleigh with parametric excitation: chaotic dynamics and nonholonomic acceleration
This paper is concerned with the Chaplygin sleigh with time-varying mass distribution
(parametric excitation). The focus is on the case where excitation is induced by a material …
(parametric excitation). The focus is on the case where excitation is induced by a material …
Fermi acceleration and adiabatic invariants for non-autonomous billiards
Recent results concerned with the energy growth of particles inside a container with slowly
moving walls are summarized, augmented, and discussed. For breathing bounded domains …
moving walls are summarized, augmented, and discussed. For breathing bounded domains …
[كتاب][B] Scaling laws in dynamical systems
ED Leonel - 2021 - Springer
The main goal of this book is to present and discuss many of the common scaling properties
observed in some nonlinear dynamical systems described by map**s. The …
observed in some nonlinear dynamical systems described by map**s. The …
Scaling investigation of Fermi acceleration on a dissipative bouncer model
The phenomenon of Fermi acceleration is addressed for the problem of a classical and
dissipative bouncer model, using a scaling description. The dynamics of the model, in both …
dissipative bouncer model, using a scaling description. The dynamics of the model, in both …
Robust exponential acceleration in time-dependent billiards
A class of nonrelativistic particle accelerators in which the majority of particles gain energy at
an exponential rate is constructed. The class includes ergodic billiards with a piston that …
an exponential rate is constructed. The class includes ergodic billiards with a piston that …
Suppressing Fermi acceleration in a driven elliptical billiard
We study dynamical properties of an ensemble of noninteracting particles in a time-
dependent elliptical-like billiard. It was recently shown [Phys. Rev. Lett. 100, 014103 (2008) …
dependent elliptical-like billiard. It was recently shown [Phys. Rev. Lett. 100, 014103 (2008) …
Fermi acceleration in non-autonomous billiards
Fermi acceleration can be modelled by a classical particle moving inside a time-dependent
domain and elastically reflecting from its boundary. In this paper, we describe how the …
domain and elastically reflecting from its boundary. In this paper, we describe how the …
Fermi-like acceleration and power-law energy growth in nonholonomic systems
This paper is concerned with a nonholonomic system with parametric excitation—the
Chaplygin sleigh with time-varying mass distribution. A detailed analysis is made of the …
Chaplygin sleigh with time-varying mass distribution. A detailed analysis is made of the …