Results 321 to 330 of about 1,473,692 (365)

Homoclinic Snakes Bounded by a Saddle-Center Periodic Orbit

SIAM Journal on Applied Dynamical Systems, 2012
We describe a new variant of the so-called homoclinic snaking mechanism for the generation of infinitely many distinct localized patterns in spatially reversible partial differential equations on the real line.
A. Champneys, E. Knobloch, Yi-ping Ma, T. Wagenknecht   +3 more
semanticscholar   +1 more source

Ground states are generically a periodic orbit

, 2013
We prove that for an expanding transformation the maximizing measures of a generic Lipschitz function are supported on a single periodic orbit.
G. Contreras
semanticscholar   +1 more source

Periodic-orbit quantization of chaotic systems.

Physical Review Letters, 1989
We demonstrate the utility of the periodic-orbit description of chaotic motion by computing from a few periodic orbits highly accurate estimates of a large number of quantum resonances for the classically chaotic three-disk scattering problem.
P. Cvitanovic, B. Eckhardt
semanticscholar   +1 more source

Discrete symmetries in periodic-orbit theory.

Physical review. A, General physics, 1989
The application of periodic-orbit theory to systems which possess a discrete symmetry is considered. A semiclassical expression for the symmetry-projected Green's function is obtained; it involves a sum over classical periodic orbits on a symmetry ...
Robbins
semanticscholar   +1 more source

Model identification by periodic-orbit analysis for NMR-laser chaos.

Physical Review Letters, 1991
It is shown that the conventional Bloch-Kirchhoff description of NMR-laser activity needs the inclusion of a nonlinear relaxation term for the transverse magnetization in order to account for the experimental observation.
Flepp, Holzner, Brun, Finardi, Badii
semanticscholar   +1 more source

Semiclassical periodic-orbit theory for identical particles.

Physical Review A. Atomic, Molecular, and Optical Physics, 1993
Gutzwiller's semiclassical approximation is applied to systems of identical particles. The special case of antisymmetry under particle exchange is treated as an example.
Weidenmüller
semanticscholar   +1 more source

Experimental Stabilization of Unstable Periodic Orbit in Magneto-Elastic Chaos by Delayed Feedback Control

, 1997
In our previous paper, it was confirmed that the unstable periodic orbit embedded in the chaotic attractor in magneto-elastic beam system can be stabilized by delayed feedback control experimentally. It seems an advantage that the control method does not
T. Hikihara, M. Touno, T. Kawagoshi
semanticscholar   +1 more source

Fat one-dimensional representatives of pseudo-Anosov isotopy classes with minimal periodic orbit structure

, 1994
We consider isotopy classes of homeomorphisms of the disc relative to a periodic orbit. Representatives of such isotopy classes are constructed which yield piecewise linear maps of the interval on identification along stable leaves: this means that their
Toby Hall
semanticscholar   +1 more source

variant Planck's over 2pi expansion for the periodic orbit quantization of chaotic systems.

Chaos, 1993
We report the results of a periodic orbit quantization of classically chaotic billiards beyond Gutzwiller approximation in terms of asymptotic series in powers of the Planck constant (or in powers of the inverse of the wave number kappa in billiards). We
D. Alonso, P. Gaspard
semanticscholar   +1 more source

Periodic orbit theory analysis of the circular disk or annular billiard: Nonclassical effects and the distribution of energy eigenvalues

, 1999
Periodic orbit (PO) theory can be used to make connections between the quantum energy eigenvalue spectrum and the closed orbits of the corresponding classical system. The two-dimensional annular billiard or circular disk system (namely, a particle in the
R. Robinett
semanticscholar   +1 more source