Now showing items 1-10 of 142
Theory of short periodic orbits for partially open quantum maps
(American Physical Society, 2016-07)
We extend the semiclassical theory of short periodic orbits [M. Novaes et al., Phys. Rev. E 80, 035202(R) (2009)] to partially open quantum maps, which correspond to classical maps where the trajectories are partially ...
The Lyapunov exponents and the neighbourhood of periodic orbits
(Wiley Blackwell Publishing, Inc, 2020-05)
We show that the Lyapunov exponents of a periodic orbit can be easily obtained from the eigenvalues of the monodromy matrix. It turns out that the Lyapunov exponents of simply stable periodic orbits are all zero, simply ...
Short periodic orbit approach to resonances and the fractal Weyl law
(American Physical Society, 2012-03)
We investigate the properties of the semiclassical short periodic orbit approach for the study of open quantum maps that was recently introduced. We provide solid numerical evidence, for the paradigmatic systems of the ...
Periodic Orbits and Chaos in Nonsmooth Delay Differential Equations
(World Scientific, 2019-09)
In this paper, we present a method to find periodic solutions for certain types of nonsmooth differential equations or nonsmooth delay differential equations. We apply the method to three examples, the first is a second-order ...
An orbital localization criterion based on the theory of "fuzzy" atoms
(John Wiley & Sons Inc, 2006-12)
This work proposes a new procedure for localizing molecular and natural orbitals. The localization criterion presented here is based on the partitioning of the overlap matrix into atomic contributions within the theory of ...
Stability of bifurcating periodic orbits: an application to laser equations
(Facultad Experimental de Ciencias de la Universidad del Zulia, 2011)
Signatures of classical structures in the leading eigenstates of quantum dissipative systems
(American Physical Society, 2017-09)
By analyzing a paradigmatic example of the theory of dissipative systems - the classical and quantum dissipative standard map - we are able to explain the main features of the decay to the quantum equilibrium state. The ...
A cyclical period variation detected in the updated orbital period analysis of TV Columbae
Two CCD photometries of the intermediate polar TV Columbae are made for obtaining two updated eclipse timings with high precision. There is an interval time ~17 yr since the last mid-eclipse time observed in 1991. Thus, ...
Symmetries and periodic orbits in simple hybrid Routhian systems
Symmetries are ubiquitous in a wide range of nonlinear systems. Particularly in systems whose dynamics is determined by a Lagrangian or Hamiltonian function. For hybrid systems which possess a continuous-time dynamics ...
Quantum chaotic resonances from short periodic orbits
(American Physical Society, 2009-09)
We present an approach to calculating the quantum resonances and resonance wave functions of chaotic scattering systems, based on the construction of states localized on classical periodic orbits and adapted to the dynamics. ...