On the classical-quantum correspondence for the scattering dwell time
Using results from the theory of dynamical systems, we derive a general expression for the classical average scattering dwell time, tau_av. Remarkably, tau_av depends only on a ratio of phase space volumes.
A. M. Ozorio de Almeida +5 more
core +1 more source
Computational Method for Phase Space Transport with Applications to Lobe Dynamics and Rate of Escape
Lobe dynamics and escape from a potential well are general frameworks introduced to study phase space transport in chaotic dynamical systems. While the former approach studies how regions of phase space are transported by reducing the flow to a two ...
A.M. Mancho +44 more
core +1 more source
Structural Invariance and the Energy Spectrum
We extend the application of the concept of structural invariance to bounded time independent systems. This concept, previously introduced by two of us to argue that the connection between random matrix theory and quantum systems with a chaotic classical
Leyvraz, F. +2 more
core +2 more sources
Morse theory, closed geodesics, and the homology of free loop spaces
This is a survey paper on Morse theory and the existence problem for closed geodesics. The free loop space plays a central role, since closed geodesics are critical points of the energy functional.
Oancea, Alexandru
core
Birkhoff averages of Poincare cycles for Axiom-A diffeomorphisms
We study the time of $n$th return of orbits to some given (union of) rectangle(s) of a Markov partition of an Axiom A diffeomorphism. Namely, we prove the existence of a scaled generating function for these returns with respect to any Gibbs measure ...
Chazottes, J. -R., Leplaideur, R.
core +1 more source
Mixing Rates of the Geometrical Neutral Lorenz Model. [PDF]
Bruin H, Canales Farías HH.
europepmc +1 more source
Spinal cord neuromodulation for blood pressure control using low-intensity focused ultrasound. [PDF]
Lopez AF +17 more
europepmc +1 more source
Poincare return mapping for models of elliptic neurons
openaire +1 more source
Chaotic fluctuations mark the sign of mental activity in task-based heart rate variability. [PDF]
Mao T, Okutomi H, Umeno K.
europepmc +1 more source
Lie symmetry approach to the dynamical behavior and conservation laws of actin filament electrical models. [PDF]
Beenish, Samreen M, Alshammari FS.
europepmc +1 more source

