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- Christian Simmendinger, Arne Wunderlin, Axel Pelster
- Physical review. E, Statistical physics, plasmas…
- 1999

We present an analytical approach to deal with nonlinear delay differential equations close to instabilities of time periodic reference states. To this end we start with approximately determining… (More)

Recently, a seminal STIRAP experiment allowed the creation of KRb molecules in the rovibrational ground state [K.-K. Ni et al., Science 322, 231 (2008)]. In order to describe such a polarized dipolar… (More)

The quest for quantum degenerate Fermi gases interacting through the anisotropic and long-range dipole-dipole interaction is an exciting and fast developing branch within the cold-atoms research… (More)

The free energy of a field theory can be considered as a functional of the free correlation function. As such it obeys a nonlinear functional differential equation that can be turned into a recursion… (More)

- Michael Schanz, Axel Pelster
- Physical review. E, Statistical, nonlinear, and…
- 2003

We derive the normal form for the delay-induced Hopf bifurcation in the first-order phase-locked loop with time delay by the multiple scaling method. The resulting periodic orbit is confirmed by… (More)

- Sebastian F. Brandt, Axel Pelster, Ralf Wessel
- Physical review. E, Statistical, nonlinear, and…
- 2006

We consider a model system of two coupled Hopfield neurons, which is described by delay differential equations taking into account the finite signal propagation and processing times. When the delay… (More)

- Axel Pelster, Hagen Kleinert, Michael Schanz
- Physical review. E, Statistical, nonlinear, and…
- 2003

We develop a convergent variational perturbation theory for the frequency of time-periodic solutions of nonlinear dynamical systems. The power of the theory is illustrated by applying it to the… (More)

We analytically and numerically study nonlinear dynamics in Bose–Einstein condensates (BECs) induced either by a harmonic modulation of the interaction or by the geometry of the trapping potential.… (More)

Within the Schwinger-Keldysh formalism we derive a Ginzburg-Landau theory for the BoseHubbard model which describes the real-time dynamics of the complex order parameter field. Analyzing the… (More)