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.
Project supported by the National Natural Science Foundation of China (Grant Nos. 10172067 and 30030040).
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Wu, Y., Xu, J., He, D., Jin, W., He, M. (2004). Synchronization in Two Uncoupled Chaotic Neurons. In: Yin, FL., Wang, J., Guo, C. (eds) Advances in Neural Networks – ISNN 2004. ISNN 2004. Lecture Notes in Computer Science, vol 3173. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-28647-9_24
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DOI: https://doi.org/10.1007/978-3-540-28647-9_24
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