A hybrid Fermi–Ulam-bouncer model

ED Leonel, PVE McClintock - Journal of Physics A: Mathematical …, 2005 - iopscience.iop.org
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 …

Finding critical exponents for two-dimensional Hamiltonian maps

JA De Oliveira, RA Bizao, ED Leonel - … E—Statistical, Nonlinear, and Soft Matter …, 2010 - APS
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 …

Critical exponents for a transition from integrability to non-integrability via localization of invariant tori in the Hamiltonian system

ED Leonel, JA De Oliveira, F Saif - Journal of Physics A …, 2011 - iopscience.iop.org
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 …

On the dynamical properties of an elliptical–oval billiard with static boundary

DFM Oliveira, ED Leonel - … in Nonlinear Science and Numerical Simulation, 2010 - Elsevier
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 …

Scaling properties for a classical particle in a time-dependent potential well

ED Leonel, PVE McClintock - Chaos: An Interdisciplinary Journal of …, 2005 - pubs.aip.org
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 …

Direct scattering processes and signatures of chaos in quantum waveguides

GB Akguc, LE Reichl - Physical Review E, 2003 - APS
The effect of direct processes on the statistical properties of deterministic scattering
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

JA Méndez-Bermúdez, GA Luna-Acosta, P Šeba… - Physical Review E, 2002 - APS
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 …

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 …

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 …

Ray-wave correspondence in bent waveguides

S Félix, V Pagneux - Wave Motion, 2005 - Elsevier
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 …