论文信息 - Chaotic wandering and its sensitivity to external input in a chaotic neural network

Chaotic wandering and its sensitivity to external input in a chaotic neural network

Dynamical properties of chaotic neural network in chaotic wandering state are studied concerning sensitivity to external inputs. The number of the attractor basins which time dependent vector can visit during chaotic wandering depends on the dynamical complexity of chaos. When one applies the external input consisting of a memory fragment to the network, within several iteration steps the orbit reach the basin of the memory attractor.

[1] K. Aihara,et al. Chaotic neural networks , 1990 .

[2] Shigetoshi Nara,et al. CHAOTIC MEMORY DYNAMICS IN A RECURRENT NEURAL NETWORK WITH CYCLE MEMORIES EMBEDDED BY PSEUDO-INVERSE METHOD , 1995 .

[3] Kazuyuki Aihara,et al. Response Properties of a Single Chaotic Neuron to Stochastic inputs , 2001, Int. J. Bifurc. Chaos.

[4] Shigetoshi Nara,et al. Dynamical Responses of Chaotic Memory Dynamics to Weak Input in a Recurrent Neural Network Model , 2003, Neural Computing & Applications.

[5] K. Aihara,et al. 12. Chaotic oscillations and bifurcations in squid giant axons , 1986 .

[6] H. Hayashi,et al. Instability of Harmonic Responses of Onchidium Pacemaker Neuron , 1986 .

[7] Walter J. Freeman,et al. TUTORIAL ON NEUROBIOLOGY: FROM SINGLE NEURONS TO BRAIN CHAOS , 1992 .

[8] Kazuyuki Aihara,et al. Associative Dynamics in a Chaotic Neural Network , 1997, Neural Networks.

[9] I. Tsuda. Chaotic itinerancy as a dynamical basis of hermeneutics in brain and mind , 1991 .

[10] P. Davis,et al. Chaotic wandering and search in a cycle-memory neural network , 1992 .

[11] Thomas Schreiber,et al. PHASE SPACE EMBEDDING OF ELECTROCARDIOGRAMS , 1998, chao-dyn/9807035.

[12] W. Freeman,et al. How brains make chaos in order to make sense of the world , 1987, Behavioral and Brain Sciences.