Delay-induced desynchronization in neuronal oscillations.

We study a model of coupled limit-cycle oscillators that was introduced in order to model the synchronization observed in the firing of mammalian cortical cells. This Brief Report is devoted to the study of a time-delayed feedback. We show, by both numerical simulations and analytical arguments, that the delay has a desynchronizing influence on the oscillations.

[1]  A. Hodgkin,et al.  A quantitative description of membrane current and its application to conduction and excitation in nerve , 1952, The Journal of physiology.

[2]  S. Yoshizawa,et al.  An Active Pulse Transmission Line Simulating Nerve Axon , 1962, Proceedings of the IRE.

[3]  W. J. Larsen.  Biological implications of gap junction structure, distribution and composition: a review. , 1983, Tissue & cell.

[4]  G. Ermentrout,et al.  Frequency Plateaus in a Chain of Weakly Coupled Oscillators, I. , 1984 .

[5]  A. Trautmann,et al.  Physiological modulation of gap junction permeability. , 1986, The Journal of experimental biology.

[6]  G. Ermentrout,et al.  Symmetry and phaselocking in chains of weakly coupled oscillators , 1986 .

[7]  A. Noest.  Associative Memory in Sparse Phasor Neural Networks , 1988 .

[8]  H. Schuster,et al.  Mutual Entrainment of Two Limit Cycle Oscillators with Time Delayed Coupling , 1989 .

[9]  W. Singer,et al.  Oscillatory responses in cat visual cortex exhibit inter-columnar synchronization which reflects global stimulus properties , 1989, Nature.

[10]  S. Strogatz,et al.  Phase diagram for the collective behavior of limit-cycle oscillators. , 1990, Physical review letters.

[11]  Reinhard Eckhorn,et al.  Feature Linking via Synchronization among Distributed Assemblies: Simulations of Results from Cat Visual Cortex , 1990, Neural Computation.

[12]  Joachim M. Buhmann,et al.  Pattern Segmentation in Associative Memory , 1990, Neural Computation.

[13]  Michel Kerszberg,et al.  Synchronization in Neural Assemblies , 1990 .

[14]  A Model for the Synchronization of Neuronal Oscillations , 1991 .

[15]  Y. Kuramoto.  Collective synchronization of pulse-coupled oscillators and excitable units , 1991 .