A hybrid Fermi–Ulam-bouncer model
Some dynamical and chaotic properties are studied for a classical particle bouncing
between two rigid walls, one of which is fixed and the other moves in time, in the presence of …
between two rigid walls, one of which is fixed and the other moves in time, in the presence of …
Finding critical exponents for two-dimensional Hamiltonian maps
The transition from integrability to nonintegrability for a set of two-dimensional Hamiltonian
map**s exhibiting mixed phase space is considered. The phase space of such map**s …
map**s exhibiting mixed phase space is considered. The phase space of such map**s …
Critical exponents for a transition from integrability to non-integrability via localization of invariant tori in the Hamiltonian system
Critical exponents that describe a transition from integrability to non-integrability in a two-
dimensional, nonlinear and area-preserving map are obtained via localization of the first …
dimensional, nonlinear and area-preserving map are obtained via localization of the first …
On the dynamical properties of an elliptical–oval billiard with static boundary
Some dynamical properties for a classical particle confined inside a closed region with an
elliptical–oval-like shape are studied. The dynamics of the model is made by using a two …
elliptical–oval-like shape are studied. The dynamics of the model is made by using a two …
Scaling properties for a classical particle in a time-dependent potential well
Some scaling properties for a classical particle interacting with a time-dependent square-
well potential are studied. The corresponding dynamics is obtained by use of a two …
well potential are studied. The corresponding dynamics is obtained by use of a two …
Direct scattering processes and signatures of chaos in quantum waveguides
The effect of direct processes on the statistical properties of deterministic scattering
processes in a chaotic waveguide is examined. The single-channel Poisson kernel …
processes in a chaotic waveguide is examined. The single-channel Poisson kernel …
Understanding quantum scattering properties in terms of purely classical dynamics: Two-dimensional open chaotic billiards
We study classical and quantum scattering properties of particles in the ballistic regime in
two-dimensional chaotic billiards that are models of electron-or micro-waveguides. To this …
two-dimensional chaotic billiards that are models of electron-or micro-waveguides. To this …
The effect of weak dissipation in two-dimensional map**
JA De Oliveira, ED Leonel - International Journal of Bifurcation and …, 2012 - World Scientific
The influence of weak dissipation and its consequences in a two-dimensional map** are
studied. The map** is parametrized by an exponent γ in one of the dynamical variables …
studied. The map** is parametrized by an exponent γ in one of the dynamical variables …
Dissipation and its consequences in the scaling exponents for a family of two-dimensional map**s
JA De Oliveira, ED Leonel - Journal of Physics A: Mathematical …, 2012 - iopscience.iop.org
The effects and consequences of dissipation in the scaling exponents describing the
behaviour of average properties over the chaotic dynamics for a family of two-dimensional …
behaviour of average properties over the chaotic dynamics for a family of two-dimensional …
Ray-wave correspondence in bent waveguides
The present paper is concerned with wave propagation at high frequency in bent
waveguides. The multimodal formalism proposed in earlier papers by the authors is shown …
waveguides. The multimodal formalism proposed in earlier papers by the authors is shown …