Stability of two cluster solutions in pulse coupled networks of neural oscillators

Journal of Computational Neuroscience ◽

10.1007/s10827-010-0268-x ◽

2010 ◽

Vol 30 (2) ◽

pp. 427-445 ◽

Author(s):

Lakshmi Chandrasekaran ◽

Srisairam Achuthan ◽

Carmen C. Canavier

Keyword(s):

Neural Oscillators ◽

Coupled Networks ◽

Cluster Solutions

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Mean-field theory of globally coupled integrate-and-fire neural oscillators with dynamic synapses

Physical Review E ◽

10.1103/physreve.60.2160 ◽

1999 ◽

Vol 60 (2) ◽

pp. 2160-2170 ◽

Author(s):

P. C. Bressloff

Keyword(s):

Field Theory ◽

Mean Field Theory ◽

Neural Oscillators ◽

Integrate And Fire ◽

Dynamic Synapses

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Multifrequency Hebbian plasticity in coupled neural oscillators

Biological Cybernetics ◽

10.1007/s00422-020-00854-6 ◽

2021 ◽

Author(s):

Ji Chul Kim ◽

Edward W. Large

Keyword(s):

Neural Oscillators ◽

Hebbian Plasticity

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A fixed-time synchronization-based secure communication scheme for two-layer hybrid coupled networks

Neurocomputing ◽

10.1016/j.neucom.2020.12.033 ◽

2021 ◽

Vol 433 ◽

pp. 131-141

Author(s):

Lili Zhou ◽

Fei Tan ◽

Xiaohui Li ◽

Ling Zhou

Keyword(s):

Secure Communication ◽

Time Synchronization ◽

Coupled Networks ◽

Communication Scheme

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Leveraging deep learning to control neural oscillators

Biological Cybernetics ◽

10.1007/s00422-021-00874-w ◽

2021 ◽

Author(s):

Timothy D. Matchen ◽

Jeff Moehlis

Keyword(s):

Deep Learning ◽

Neural Oscillators

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Higher-Order Spike Triggered Analysis of Neural Oscillators

PLoS ONE ◽

10.1371/journal.pone.0050232 ◽

2012 ◽

Vol 7 (11) ◽

pp. e50232 ◽

Author(s):

Keisuke Ota ◽

Toshiaki Omori ◽

Hiroyoshi Miyakawa ◽

Masato Okada ◽

Toru Aonishi

Keyword(s):

Higher Order ◽

Neural Oscillators

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Eigenvalue based approach to pinning synchronization in general coupled networks

Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference ◽

10.1109/cdc.2009.5400587 ◽

2009 ◽

Author(s):

Linying Xiang ◽

Jonathan J.H. Zhu

Keyword(s):

Coupled Networks

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Symmetry, Hopf bifurcation, and the emergence of cluster solutions in time delayed neural networks

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.5006921 ◽

2017 ◽

Vol 27 (11) ◽

pp. 114316 ◽

Author(s):

Zhen Wang ◽

Sue Ann Campbell

Keyword(s):

Neural Networks ◽

Hopf Bifurcation ◽

Delayed Neural Networks ◽

Cluster Solutions

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Self-sustaining rhythmic arm motions using neural oscillators

2008 IEEE/RSJ International Conference on Intelligent Robots and Systems ◽

10.1109/iros.2008.4651224 ◽

2008 ◽

Author(s):

Woosung Yang ◽

Nak Young Chong ◽

Jaesung Kwon ◽

Bum Jae You

Keyword(s):

Neural Oscillators ◽

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Application of neural oscillators to study the effects of walking speed on rhythmic activations at the ankle

Theoretical Biology and Medical Modelling ◽

10.1186/1742-4682-10-9 ◽

2013 ◽

Vol 10 (1) ◽

pp. 9 ◽

Author(s):

Sook-Yee Chong ◽

Heiko Wagner ◽

Arne Wulf

Keyword(s):

Walking Speed ◽

Neural Oscillators

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Dynamical Properties of Hierarchical Polymeric Cluster Solutions

Relaxation in Complex Systems and Related Topics - NATO ASI Series ◽

10.1007/978-1-4899-2136-9_30 ◽

1990 ◽

pp. 223-230 ◽

Author(s):

M. Delsanti ◽

J. P. Munch ◽

M. Adam ◽

D. Durand

Keyword(s):

Dynamical Properties ◽

Cluster Solutions ◽

Polymeric Cluster

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