Lattice Synchronization of Neural Oscillators for Scene Segmentation

Synchronization is an important mechanism for selforganization of neurons. In this work we give a rigorous analyze on the synchronization condition of coupled chaotic neural oscillators on a 2D lattice. Then, we show how this result can be applied to construct oscillatory correlation neural network for scene segmentation.

[1]  Willis Lin,et al.  SYNCHRONIZATION IN A LATTICE OF COUPLED VAN DER POL SYSTEMS , 1998 .

[2]  W. Singer,et al.  Interhemispheric synchronization of oscillatory neuronal responses in cat visual cortex , 1991, Science.

[3]  Jürgen Kurths,et al.  Synchronization - A Universal Concept in Nonlinear Sciences , 2001, Cambridge Nonlinear Science Series.

[4]  Wen-Wei Lin,et al.  Asymptotic Synchronization in Lattices of Coupled Nonidentical Lorenz equations , 2000, Int. J. Bifurc. Chaos.

[5]  T L Carroll.  Chaotic control and synchronization for system identification. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  Marcio Gameiro,et al.  Applications of robust synchronization to communication systems , 2001 .

[7]  Liang Zhao,et al.  A network of dynamically coupled chaotic maps for scene segmentation , 2001, IEEE Trans. Neural Networks.

[8]  H. Fujisaka,et al.  Stability Theory of Synchronized Motion in Coupled-Oscillator Systems , 1983 .

[9]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[10]  DeLiang Wang,et al.  Emergent synchrony in locally coupled neural oscillators , 1995, IEEE Trans. Neural Networks.

[11]  Carroll,et al.  Synchronous chaos in coupled oscillator systems. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[12]  Hansel,et al.  Synchronization and computation in a chaotic neural network. , 1992, Physical review letters.

[13]  Christoph von der Malsburg,et al.  The Correlation Theory of Brain Function , 1994 .

[14]  DeLiang Wang,et al.  Synchronization and desynchronization in a network of locally coupled Wilson-Cowan oscillators , 1996, IEEE Trans. Neural Networks.

[15]  Newton G. Bretas,et al.  Uniform invariance principle and synchronization. Robustness with respect to parameter variation , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[16]  André Carlos Ponce de Leon Ferreira de Carvalho,et al.  Pixel clustering by adaptive pixel moving and chaotic synchronization , 2004, IEEE Trans. Neural Networks.

[17]  B. Baird.  Nonlinear dynamics of pattern formation and pattern recognition in the rabbit olfactory bulb , 1986 .

[18]  R. Eckhorn,et al.  Coherent oscillations: A mechanism of feature linking in the visual cortex? , 1988, Biological Cybernetics.

[19]  Shui-Nee Chow,et al.  Synchronization in lattices of coupled oscillators , 1997 .

[20]  Arkady Pikovsky,et al.  A universal concept in nonlinear sciences , 2006 .

[21]  Nizam Omar,et al.  Scene Segmentation of the Chaotic oscillator Network , 2000, Int. J. Bifurc. Chaos.

[22]  D. Wang,et al.  The time dimension for scene analysis , 2005, IEEE Transactions on Neural Networks.

[23]  Nizam Omar,et al.  Locally coupled chaotic oscillator network for scene segmentation , 1999, IJCNN'99. International Joint Conference on Neural Networks. Proceedings (Cat. No.99CH36339).

[24]  E. Fetz,et al.  Coherent 25- to 35-Hz oscillations in the sensorimotor cortex of awake behaving monkeys. , 1992, Proceedings of the National Academy of Sciences of the United States of America.

[25]  DeLiang Wang,et al.  Image Segmentation Based on Oscillatory Correlation , 1997, Neural Computation.

[26]  Deliang Wang,et al.  Global competition and local cooperation in a network of neural oscillators , 1995 .

[27]  Jürgen Kurths,et al.  Synchronization: Phase locking and frequency entrainment , 2001 .

[28]  DeLiang Wang,et al.  Synchrony and Desynchrony in Integrate-and-Fire Oscillators , 1998, Neural Computation.

[29]  L. Chua,et al.  Synchronization in an array of linearly coupled dynamical systems , 1995 .

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