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Stability transformation: a tool to solve nonlinear problems
Detecting Unstable Periodic Orbits of Chaotic Dynamical Systems
A method to detect the unstable periodic orbits of a chaotic dynamical system is developed. For a given dynamical system our approach allows us to locate the unstable periodic cycles of, in…
Dynamics of vortex dipoles in confined BoseEinstein condensates
Manipulation of ultracold atoms in dressed adiabatic radio-frequency potentials
We explore properties of atoms whose magnetic hyperfine sublevels are coupled by an external magnetic radio frequency (rf) field. We perform a thorough theoretical analysis of this driven system and…
GENERAL APPROACH TO THE LOCALIZATION OF UNSTABLE PERIODIC ORBITS IN CHAOTIC DYNAMICAL SYSTEMS
We present a method to detect the unstable periodic orbits of a multidimensional chaotic dynamical system. Our approach allows us to locate in an efficient way the unstable cycles of, in principle,…
Phononic frequency combs through nonlinear resonances.
It is suggested that the results can be applied in various nonlinear acoustic processes, such as phonon harvesting, and can also be generalized to other nonlinear systems.
Tunable fermi acceleration in the driven elliptical billiard.
The existence of Fermi acceleration is shown thereby refuting the established assumption that smoothly driven billiards whose static counterparts are integrable do not exhibit acceleration dynamics and it is possible to tune the acceleration law in a straightforwardly controllable manner.
Confinement-induced resonances in low-dimensional quantum systems.
We report on the observation of confinement-induced resonances in strongly interacting quantum-gas systems with tunable interactions for one- and two-dimensional geometry. Atom-atom scattering is…
Few-boson dynamics in double wells: from single-atom to correlated pair tunneling.
This work investigates few-boson tunneling in a one-dimensional double well and finds that the tunneling dynamics of two atoms evolves from Rabi oscillations to correlated pair tunneling as the authors increase the interaction strength.
Theory and examples of the inverse Frobenius-Perron problem for complete chaotic maps.
The general solution of the inverse Frobenius-Perron problem considering the construction of a fully chaotic dynamical system with given invariant density is obtained for the class of one-dimensional…