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Dynamical Systems
An International Journal
Volume 25, 2010 - Issue 3: Robust Heteroclinic and Switching Dynamics
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Original Articles

Heteroclinic binding

Mikhail I. Rabinovich BioCircuits Institute, University of California San Diego, 9500 Gilman Dr 0328, La Jolla, CA, 92093-0328, USACorrespondence[email protected]
,
Valentin S. Afraimovich Instituto de Investigación en Comunicación Óptica, UASLP, A. Obregón 64, 78000 San Luis Potosí, SLP, México
&
Pablo Varona GNB, Departmento de Ingeniería Informática, Escuela Politécnica Superior, Universidad Autónoma de Madrid, 28049 Madrid, Spain
Pages 433-442 | Received 26 Jul 2010, Accepted 10 Aug 2010, Published online: 15 Oct 2010

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Valerie Jeong & Claire Postlethwaite. (2023) Effect of noise on residence times of a heteroclinic cycle. Dynamical Systems 38:1, pages 79-101.
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Articles from other publishers (29)

S B S D Castro & L Garrido-da-Silva. (2023) Finite switching near heteroclinic networks. Nonlinearity 36:12, pages 6239-6259.
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Hildegard Meyer-Ortmanns. (2023) Heteroclinic networks for brain dynamics. Frontiers in Network Physiology 3.
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Manaoj Aravind & Hildegard Meyer-Ortmanns. (2023) On relaxation times of heteroclinic dynamics. Chaos: An Interdisciplinary Journal of Nonlinear Science 33:10.
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Mikhail Rabinovich, Christian Bick & Pablo Varona. (2023) Beyond neurons and spikes: cognon, the hierarchical dynamical unit of thought. Cognitive Neurodynamics.
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Vladimir K. Vanag. (2021) Networks of spike oscillators and their application for creating autonomous intelligent devices. Uspekhi Fizicheskih Nauk, pages 477-490.
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MI Rabinovich & P Varona. (2021) Nonlinear dynamics of creative thinking. Multimodal processes and the interaction of heteroclinic structures. Physics-Uspekhi 64:8, pages 801-814.
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Alicia Garrido-Peña, Irene Elices & Pablo Varona. (2021) Characterization of interval variability in the sequential activity of a central pattern generator model. Neurocomputing 461, pages 667-678.
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M.I. Rabinovich & Pablo Varona. (2020) Nonlinear dynamics of creative thinking. Multimodal processes and the interaction of heteroclinic structures. Uspekhi Fizicheskih Nauk 191:08, pages 846-860.
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Pablo Varona & Mikhail I. Rabinovich. (2021) Binding brain dynamics building up heteroclinic networks. Physics of Life Reviews 36, pages 33-34.
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Mikhail I. Rabinovich, Michael A. Zaks & Pablo Varona. (2020) Sequential dynamics of complex networks in mind: Consciousness and creativity. Physics Reports 883, pages 1-32.
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Maximilian Voit & Hildegard Meyer-Ortmanns. (2020) Emerging criticality at bifurcation points in heteroclinic dynamics. Physical Review Research 2:4.
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Maximilian Voit & Hildegard Meyer-Ortmanns. (2019) Dynamical Inference of Simple Heteroclinic Networks. Frontiers in Applied Mathematics and Statistics 5.
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Maximilian Voit & Hildegard Meyer-Ortmanns. (2019) Predicting the separation of time scales in a heteroclinic network. Applied Mathematics and Nonlinear Sciences 4:1, pages 279-288.
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Roy Moyal & Shimon Edelman. (2019) Dynamic Computation in Visual Thalamocortical Networks. Entropy 21:5, pages 500.
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Roberto Latorre, Pablo Varona & Mikhail I. Rabinovich. (2019) Rhythmic control of oscillatory sequential dynamics in heteroclinic motifs. Neurocomputing 331, pages 108-120.
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Mikhail I. Rabinovich & Pablo Varona. (2018) Discrete Sequential Information Coding: Heteroclinic Cognitive Dynamics. Frontiers in Computational Neuroscience 12.
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V. S. Afraimovich, M. A. Zaks & M. I. Rabinovich. (2018) Mind-to-mind heteroclinic coordination: Model of sequential episodic memory initiation. Chaos: An Interdisciplinary Journal of Nonlinear Science 28:5.
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Karl Friston. 2017. Advances in Dynamics, Patterns, Cognition. Advances in Dynamics, Patterns, Cognition 189 211 .
Pablo Varona & Mikhail I. Rabinovich. (2016) Hierarchical dynamics of informational patterns and decision-making. Proceedings of the Royal Society B: Biological Sciences 283:1832, pages 20160475.
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Valentin Afraimovich, Xue Gong & Mikhail Rabinovich. (2015) Sequential memory: Binding dynamics. Chaos: An Interdisciplinary Journal of Nonlinear Science 25:10.
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Mikhail I. Rabinovich, Alan N. Simmons & Pablo Varona. (2015) Dynamical bridge between brain and mind. Trends in Cognitive Sciences 19:8, pages 453-461.
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Mikhail I. Rabinovich, Irma Tristan & Pablo Varona. (2015) Hierarchical nonlinear dynamics of human attention. Neuroscience & Biobehavioral Reviews 55, pages 18-35.
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Valentin S. Afraimovich, Todd R. Young & Mikhail I. Rabinovich. (2014) Hierarchical Heteroclinics in Dynamical Model of Cognitive Processes: Chunking. International Journal of Bifurcation and Chaos 24:10, pages 1450132.
Crossref
Mikhail Rabinovich, Irma Tristan & Shlomo Dubnov. (2014) Nonlinear dynamics of human creativity. Nonlinear dynamics of human creativity.
Peter Ashwin & Claire Postlethwaite. (2013) On designing heteroclinic networks from graphs. Physica D: Nonlinear Phenomena 265, pages 26-39.
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Mikhail Rabinovich, Irma Tristan & Pablo Varona. (2013) Neural Dynamics of Attentional Cross-Modality Control. PLoS ONE 8:5, pages e64406.
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Karl Friston. (2012) Competitive dynamics in the brain. Physics of Life Reviews 9:1, pages 76-77.
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Mikhail I. Rabinovich, Valentin S. Afraimovich, Christian Bick & Pablo Varona. (2012) Information flow dynamics in the brain. Physics of Life Reviews 9:1, pages 51-73.
Crossref
Mikhail I. Rabinovich & Pablo Varona. 2012. Biomimetic and Biohybrid Systems. Biomimetic and Biohybrid Systems 228 237 .

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