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- Publications
- Influence

Analytical approach for the Floquet theory of delay differential equations.

- Christian Simmendinger, A. Wunderlin, A. Pelster
- Medicine, Physics
- Physical review. E, Statistical physics, plasmas…
- 1 May 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… Expand

Analytical and numerical investigations of the phase-locked loop with time delay.

- M. Schanz, A. Pelster
- Physics, Medicine
- Physical review. E, Statistical, nonlinear, and…
- 14 May 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… Expand

Variational calculation of the limit cycle and its frequency in a two-neuron model with delay.

- S. Brandt, A. Pelster, R. Wessel
- Mathematics, Medicine
- Physical review. E, Statistical, nonlinear, and…
- 10 March 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… Expand

Fluctuating paths and fields : festschrift dedicated to Hagen Kleinert on the occasion of his 60th birthday

- W. Janke, A. Pelster, M. Bachmann, H. Schmidt
- Physics
- 1 June 2001

Part 1 Path integrals and quantum mechanics: semiclassical quantum mechanics - a path-integral approach, B.R. Holstein conjecture on the reality of spectra of non-Hermetian Hamiltonians, C.M. Bender… Expand

Selforganization in Complex Systems: The Past, Present, and Future of Synergetics

- G. Wunner, A. Pelster
- Engineering, Computer Science
- 2016

Prices in financial markets exhibit extreme jumps far more often than can be accounted for by external news. Further, magnitudes of price changes are correlated over long times. These so called… Expand

High-order variational calculation for the frequency of time-periodic solutions.

- A. Pelster, H. Kleinert, M. Schanz
- Physics, Mathematics
- Physical review. E, Statistical, nonlinear, and…
- 23 August 2002

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… Expand

Measuring finite-range phase coherence in an optical lattice using Talbot interferometry

- B. Santra, Christian Baals, R. Labouvie, A. B. Bhattacherjee, A. Pelster, H. Ott
- Physics, Mathematics
- Nature communications
- 25 November 2016

One of the important goals of present research is to control and manipulate coherence in a broad variety of systems, such as semiconductor spintronics, biological photosynthetic systems,… Expand

Synergetic System Analysis for the Delay-Induced Hopf Bifurcation in the Wright Equation

- M. Schanz, A. Pelster
- Physics, Computer Science
- SIAM J. Appl. Dyn. Syst.
- 5 March 2002

We apply the synergetic elimination procedure for the stable modes in nonlinear delay systems close to a dynamical instability and derive the normal form for the delay-induced Hopf bifurcation in the… Expand

Synchronization in a neuronal feedback loop through asymmetric temporal delays

- S. Brandt, A. Pelster, R. Wessel
- Physics
- 19 January 2007

We consider the effect of asymmetric temporal delays in a system of two coupled Hopfield neurons. For couplings of opposite signs, a limit cycle emerges via a supercritical Hopf bifurcation when the… Expand

Excitation spectra of bosons in optical lattices from the Schwinger-Keldysh calculation

- T. Grass, F. A. D. Santos, A. Pelster
- Physics
- 25 November 2010

Within the Schwinger-Keldysh formalism we derive a Ginzburg-Landau theory for the Bose-Hubbard model which describes the real-time dynamics of the complex order parameter field. Analyzing the… Expand