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Stability transformation: a tool to solve nonlinear problems

- D. Pingel, P. Schmelcher, F. Diakonos
- Mathematics, Physics
- 1 October 2004

Detecting Unstable Periodic Orbits of Chaotic Dynamical Systems

- P. Schmelcher, F. Diakonos
- Physics
- 23 June 1997

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… Expand

Dynamics of vortex dipoles in confined BoseEinstein condensates

- P. J. Torres, P. Kevrekidis, D. Frantzeskakis, R. Carretero-González, P. Schmelcher, D. Hall
- Physics
- 28 June 2011

Manipulation of ultracold atoms in dressed adiabatic radio-frequency potentials

- I. Lesanovsky, S.Hofferberth, J.Schmiedmayer, P. Schmelcher
- Physics
- 19 June 2006

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… Expand

GENERAL APPROACH TO THE LOCALIZATION OF UNSTABLE PERIODIC ORBITS IN CHAOTIC DYNAMICAL SYSTEMS

- P. Schmelcher, F. Diakonos
- Physics
- 1 March 1998

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,… Expand

Phononic frequency combs through nonlinear resonances.

- L. Cao, D. Qi, R. Peng, Mu Wang, P. Schmelcher
- PhysicsPhysical review letters
- 29 August 2013

TLDR

Tunable fermi acceleration in the driven elliptical billiard.

- F. Lenz, F. Diakonos, P. Schmelcher
- PhysicsPhysical review letters
- 4 January 2008

TLDR

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… Expand

Few-boson dynamics in double wells: from single-atom to correlated pair tunneling.

- S. Zöllner, H. Meyer, P. Schmelcher
- PhysicsPhysical review letters
- 20 September 2007

TLDR

Theory and examples of the inverse Frobenius-Perron problem for complete chaotic maps.

- D. Pingel, P. Schmelcher, F. Diakonos
- Mathematics, PhysicsChaos
- 26 May 1999

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… Expand

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