Title
Synchronization in Two Uncoupled Chaotic Neurons
Abstract
Using the membrane potential of a chaotic neuron as stimulation signal to synchronize two uncoupled Hindmarsh-Rose (HR) neurons under different initial conditions is discussed. Modulating the corresponding parameters of two uncoupled identical HR neurons, full synchronization is realized when the largest condition lyapunov exponent (LCLE) becomes negative at the threshold of stimulation strength. Computing the interspiks interval (ISI) sequence shows synchronized chaotic response of modulated neurons is different from stimulation signal. Modulating input currents of two uncoupled HR neurons with parameters mismatch, phase synchronization is obtained when the LCLEs of two systems change to both negative, and synchronized response of two systems is in phase synchronization with stimulation signal.
Year
DOI
Venue
2004
10.1007/978-3-540-28647-9_24
ADVANCES IN NEURAL NETWORKS - ISNN 2004, PT 1
Keywords
Field
DocType
membrane potential,phase synchronization,initial condition,lyapunov exponent
Runge–Kutta methods,Synchronization,Membrane potential,Computer science,Control theory,Phase synchronization,Chaotic,Neuron,Lyapunov exponent,Synchronization of chaos
Conference
Volume
ISSN
Citations 
3173
0302-9743
3
PageRank 
References 
Authors
0.68
1
5
Name
Order
Citations
PageRank
Ying Wu1195.40
Jian-Xue Xu2103.66
Daihai He341.39
Wuyin Jin4154.75
Mi He5205.15