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Robust Passivity of Coupled Cohen-Grossberg Neural Networks with Reaction-Diffusion Terms

Yanli Huang, Jianming Wang, Erfu Yang
2019 2019 25th International Conference on Automation and Computing (ICAC)  
In this paper, we deal with the robust passivity problem for coupled reaction-diffusion Cohen-Grossberg neural networks (CRDCGNNs) with spatial diffusion coupling and state coupling.  ...  First, we present the network model for CRDCGNNs with state coupling and establish some robust passivity conditions for this kind of CRDCGNNs.  ...  INTRODUCTION In 1983, a kind of network was proposed by Cohen and Grossberg, which was named Cohen-Grossberg neural networks [1] .  ... 
doi:10.23919/iconac.2019.8895142 dblp:conf/iconac/HuangWY19 fatcat:ymej7rgot5f4xap3ug76x5d3em

Synchronization of linearly coupled reaction-diffusion neural networks with hybrid coupling and time-varying delays via aperiodically intermittent pinning control [article]

Xiwei Liu, Zhang Chen, Lingjun Zhou
2016 arXiv   pre-print
In this paper, the complete synchronization problem of linearly coupled neural networks with reaction-diffusion terms and time-varying delays via aperiodically intermittent pinning control is investigated  ...  Compared with state coupling in the synchronization literature, we design a novel distributed coupling protocol by using the reaction-diffusion coupling-spatial coupling, which can accelerate the synchronization  ...  problem for two types of coupled neural networks with reaction-diffusion terms: the state coupling and the spatial diffusion coupling.  ... 
arXiv:1604.03379v1 fatcat:zqeglcs3mrg63kdpcm3cwnxwy4

Connectivity and Dynamics of Neural Information Processing

Viktor K. Jirsa
2004 Neuroinformatics  
As a consequence different types of networks are encountered on different levels of neural organization.  ...  In particular, we discuss how changes in the connectivity of a neural network affect the spatiotemporal network dynamics qualitatively.  ...  Acknowledgments The author wishes to thank Mukeshwar Dhamala and Ajay Pillai for help in preparing some of the figures.  ... 
doi:10.1385/ni:2:2:183 pmid:15319516 fatcat:dex64qd74rc6pdrvvyj5ynlmq4

Neural networks as spatio-temporal pattern-forming systems

Bard Ermentrout
1998 Reports on progress in physics (Print)  
The behaviour of spatially and temporally organized neural fields is then discussed from the point of view of pattern formation.  ...  Models of neural networks are developed from a biological point of view. Small networks are analysed using techniques from dynamical systems.  ...  Cohen-Grossberg theorem. We close this section with another important result in symmetric attractor neural networks, the Cohen-Grossberg (1983) theorem.  ... 
doi:10.1088/0034-4885/61/4/002 fatcat:3yjxvax3tbfbdcxwurfblz66cm

2021 Index IEEE Transactions on Cybernetics Vol. 51

2021 IEEE Transactions on Cybernetics  
The primary entry includes the coauthors' names, the title of the paper or other item, and its location, specified by the publication abbreviation, year, month, and inclusive pagination.  ...  The Subject Index contains entries describing the item under all appropriate subject headings, plus the first author's name, the publication abbreviation, month, and year, and inclusive pages.  ...  Ren, C., +, TCYB Jan. 2021 77-87 Finite-Time Passivity and Synchronization of Complex Dynamical Networks With State and Derivative Coupling.  ... 
doi:10.1109/tcyb.2021.3139447 fatcat:myjx3olwvfcfpgnwvbuujwzyoi

2020 Index IEEE Transactions on Neural Networks and Learning Systems Vol. 31

2020 IEEE Transactions on Neural Networks and Learning Systems  
The primary entry includes the coauthors' names, the title of the paper or other item, and its location, specified by the publication abbreviation, year, month, and inclusive pagination.  ...  The Subject Index contains entries describing the item under all appropriate subject headings, plus the first author's name, the publication abbreviation, month, and year, and inclusive pages.  ...  ., +, TNNLS Feb. 2020 639-650 Pinning Synchronization of Directed Coupled Reaction-Diffusion Neural Networks With Sampled-Data Communications.  ... 
doi:10.1109/tnnls.2020.3045307 fatcat:34qoykdtarewhdscxqj5jvovqy

Dynamical principles in neuroscience

Mikhail I. Rabinovich, Pablo Varona, Allen I. Selverston, Henry D. I. Abarbanel
2006 Reviews of Modern Physics  
Neural systems are, however, an unusual subject for nonlinear dynamics for several reasons: ͑i͒ Even the simplest neural network, with only a few neurons and synaptic connections, has an enormous number  ...  governing the dynamics of neural systems are unknown. ͑iii͒ Many different neural systems exhibit similar dynamics despite having different architectures and different levels of complexity. ͑iv͒ The network  ...  In the next section we discuss the propagation of patterns of synchronous activity along spatially ordered neural networks.  ... 
doi:10.1103/revmodphys.78.1213 fatcat:koqrqbdcefeyzf43jx77don24a

A Path Toward Explainable AI and Autonomous Adaptive Intelligence: Deep Learning, Adaptive Resonance, and Models of Perception, Emotion, and Action

Stephen Grossberg
2020 Frontiers in Neurorobotics  
Biological neural network models whereby brains make minds help to understand autonomous adaptive intelligence.  ...  Also explainable are the MOTIVATOR model of reinforcement learning and cognitive-emotional interactions, and the VITE, DIRECT, DIVA, and SOVEREIGN models for reaching, speech production, spatial navigation  ...  prediction that all conscious states are resonant states (Grossberg, 1980 (Grossberg, , 2017b .  ... 
doi:10.3389/fnbot.2020.00036 pmid:32670045 pmcid:PMC7330174 fatcat:mkiocjbh6zdrne6usjsgiqcwqe

2021 Index IEEE Transactions on Circuits and Systems I: Regular Papers Vol. 68

2021 IEEE Transactions on Circuits and Systems Part 1: Regular Papers  
The primary entry includes the coauthors' names, the title of the paper or other item, and its location, specified by the publication abbreviation, year, month, and inclusive pagination.  ...  The Subject Index contains entries describing the item under all appropriate subject headings, plus the first author's name, the publication abbreviation, month, and year, and inclusive pages.  ...  ., +, TCSI May 2021 2069-2081 Positivity and Stability of Cohen-Grossberg-Type Memristor Neural Networks With Unbounded Delays.  ... 
doi:10.1109/tcsi.2021.3134605 fatcat:txqhqj7nvnh6pp5dqloynq5jku

An Integrated World Modeling Theory (IWMT) of Consciousness: Combining Integrated Information and Global Neuronal Workspace Theories With the Free Energy Principle and Active Inference Framework; Toward Solving the Hard Problem and Characterizing Agentic Causation

Adam Safron
2020 Frontiers in Artificial Intelligence  
of generating models with spatial, temporal, and causal coherence for self and world.  ...  , with the precise composition of experiences depending on the integration abilities of synchronous complexes as self-organizing harmonic modes (SOHMs).  ...  When this method was first introduced, Atasoy et al. ( 2016 ) compellingly demonstrated how reaction-diffusion simulations of spreading activation could generate resting state networks as stable modesor  ... 
doi:10.3389/frai.2020.00030 pmid:33733149 pmcid:PMC7861340 doaj:8441e3d6220f4f948b123f02fac73f26 fatcat:pniqrbgm4zaujmsmqwp77pfm2a

2014 Index IEEE Transactions on Neural Networks and Learning Systems Vol. 25

2014 IEEE Transactions on Neural Networks and Learning Systems  
., Novel Adaptive Strategies for Synchronization of Linearly Coupled Neural Networks With Reaction-Diffusion Terms; TNNLS Feb. 2014 429-440 Wang, L., see Liu, X., TNNLS Jun. 2014 1083-1095 Wang, L., see  ...  ., +, TNNLS Sep. 2014 1709-1713 Synchronization in an Array of Output-Coupled Boolean Networks With Time Delay.  ...  The Field of Values of a Matrix and Neural Networks. Georgiou, G.M., TNNLS Sep. 2014  ... 
doi:10.1109/tnnls.2015.2396731 fatcat:ztnfcozrejhhfdwg7t2f5xlype

In search of common foundations for cortical computation

W A Phillips, W Singer
1997 Behavioral and Brain Sciences  
Simulations explore the capabilities of networks built from local processors with both RF and CF connections.  ...  Physiological evidence for synchronization, CFs, and plasticity of the RF and CF connections is described.  ...  Grossberg refers us to his neural network models.  ... 
pmid:10097008 fatcat:htjieh5g7fgefejiwagehqdpsq

Information: In the stimulus or in the context?

Giulio Tononi, Gerald M. Edelman
1997 Behavioral and Brain Sciences  
Simulations explore the capabilities of networks built from local processors with both RF and CF connections.  ...  Physiological evidence for synchronization, CFs, and plasticity of the RF and CF connections is described.  ...  Grossberg refers us to his neural network models.  ... 
doi:10.1017/s0140525x97401607 fatcat:5qez4t5ir5drjfvxcpntdf5tmm

In search of common foundations for cortical computation

William A. Phillips, Wolf Singer
1997 Behavioral and Brain Sciences  
Simulations explore the capabilities of networks built from local processors with both RF and CF connections.  ...  Physiological evidence for synchronization, CFs, and plasticity of the RF and CF connections is described.  ...  Grossberg refers us to his neural network models.  ... 
doi:10.1017/s0140525x9700160x fatcat:alvhhga45be6rjfiui3eurkwgi

Extraction of spatio-temporal primitives of emotional body expressions

Lars Omlor, Martin A. Giese
2007 Neurocomputing  
stability of stationary states of Mexican-hat type neural networks with leaky integrate-and-fire neurons is analytically studied.  ...  Encoding features by localized activity in networks of pulse-coupled neurons is present in spatially localized clusters of neurons that fire synchronously and periodically, thus preserving information.  ... 
doi:10.1016/j.neucom.2006.10.100 fatcat:esivhljzsbcihdl5qbp756josu
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