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Abstract A non-Hermitian Hamiltonian has a real positive spectrum and exhibits unitary time evolution if the Hamiltonian possesses an unbroken PT (space-time reflection) symmetry. The proof ofâ€¦ (More)

- Sebastian F. Brandt, Babette K. Dellen, Ralf Wessel
- Physical review letters
- 2006

The effects of disorder in external forces on the dynamical behavior of coupled nonlinear oscillator networks are studied. When driven synchronously, i.e., all driving forces have the same phase, theâ€¦ (More)

- Sebastian F. Brandt, Ralf Wessel
- Biological Cybernetics
- 2007

We consider the effects of temporal delay in a neural feedback system with excitation and inhibition. The topology of our model system reflects the anatomy of the avian isthmic circuitry, a feedbackâ€¦ (More)

- Dihui Lai, Sebastian F. Brandt, Harald Luksch, Ralf Wessel
- Journal of neurophysiology
- 2011

Topographically organized neurons represent multiple stimuli within complex visual scenes and compete for subsequent processing in higher visual centers. The underlying neural mechanisms of thisâ€¦ (More)

- Sebastian F. Brandt, Axel Pelster, Ralf Wessel
- Physical review. E, Statistical, nonlinear, andâ€¦
- 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 delayâ€¦ (More)

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 theâ€¦ (More)

- Matthew Caudill, Sebastian F. Brandt, Zohar Nussinov, Ralf Wessel
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2009

Neural feedback-triads consisting of two feedback loops with a nonreciprocal lateral connection from one loop to the other are ubiquitous in the brain. We show analytically that the dynamics of thisâ€¦ (More)

1550-7998=20 The Lee model was introduced in the 1950s as an elementary quantum field theory in which mass, wave function, and charge renormalization could be carried out exactly. In early studies ofâ€¦ (More)

- Ulrike Meyer, Jing Shao, Saurish Chakrabarty, Sebastian F. Brandt, Harald Luksch, Ralf Wessel
- Biological Cybernetics
- 2008

We consider the effect of distributed delays in neural feedback systems. The avian optic tectum is reciprocally connected with the isthmic nuclei. Extracellular stimulation combined withâ€¦ (More)

We consider a Kuramoto model for the dynamics of an excitable system consisting of two coupled active rotators. Depending on both the coupling strength and the noise, the two rotators can be in aâ€¦ (More)