Switching dynamics of neural systems in the presence of multiplicative colored noise

Jorge F. Mejias; Joaquin J. Torres; Samuel Johnson; Hilbert J. Kappen

doi:10.1007/978-3-642-02478-8_3

Switching dynamics of neural systems in the presence of multiplicative colored noise

Jorge F. Mejias, Joaquin J. Torres, Samuel Johnson, Hilbert J. Kappen

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We study the dynamics of a simple bistable system driven by multiplicative correlated noise. Such system mimics the dynamics of classical attractor neural networks with an additional source of noise associated, for instance, with the stochasticity of synaptic transmission. We found that the multiplicative noise, which performs as a fluctuating barrier separating the stable solutions, strongly influences the behaviour of the system, giving rise to complex time series and scale-free distributions for the escape times of the system. This finding may be of interest to understand nonlinear phenomena observed in real neural systems and to design bio-inspired artificial neural networks with convenient complex characteristics.

Original language	English
Title of host publication	Bio-Inspired Systems
Subtitle of host publication	Computational and Ambient Intelligence - 10th International Work-Conference on Artificial Neural Networks, IWANN 2009, Proceedings
Pages	17-23
Number of pages	7
Edition	PART 1
DOIs	https://doi.org/10.1007/978-3-642-02478-8_3
Publication status	Published - 2009
Event	10th International Work-Conference on Artificial Neural Networks, IWANN 2009 - Salamanca, Spain Duration: 10 Jun 2009 → 12 Jun 2009

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Number	PART 1
Volume	5517 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	10th International Work-Conference on Artificial Neural Networks, IWANN 2009
Country/Territory	Spain
City	Salamanca
Period	10/06/09 → 12/06/09

Keywords

Bistable systems
Multiplicative colored noise
Neural up and down states
Switching dynamics

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science

Access to Document

10.1007/978-3-642-02478-8_3

Cite this

Mejias, J. F., Torres, J. J., Johnson, S., & Kappen, H. J. (2009). Switching dynamics of neural systems in the presence of multiplicative colored noise. In Bio-Inspired Systems: Computational and Ambient Intelligence - 10th International Work-Conference on Artificial Neural Networks, IWANN 2009, Proceedings (PART 1 ed., pp. 17-23). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5517 LNCS, No. PART 1). https://doi.org/10.1007/978-3-642-02478-8_3

Mejias, Jorge F. ; Torres, Joaquin J. ; Johnson, Samuel et al. / Switching dynamics of neural systems in the presence of multiplicative colored noise. Bio-Inspired Systems: Computational and Ambient Intelligence - 10th International Work-Conference on Artificial Neural Networks, IWANN 2009, Proceedings. PART 1. ed. 2009. pp. 17-23 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); PART 1).

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abstract = "We study the dynamics of a simple bistable system driven by multiplicative correlated noise. Such system mimics the dynamics of classical attractor neural networks with an additional source of noise associated, for instance, with the stochasticity of synaptic transmission. We found that the multiplicative noise, which performs as a fluctuating barrier separating the stable solutions, strongly influences the behaviour of the system, giving rise to complex time series and scale-free distributions for the escape times of the system. This finding may be of interest to understand nonlinear phenomena observed in real neural systems and to design bio-inspired artificial neural networks with convenient complex characteristics.",

keywords = "Bistable systems, Multiplicative colored noise, Neural up and down states, Switching dynamics",

author = "Mejias, {Jorge F.} and Torres, {Joaquin J.} and Samuel Johnson and Kappen, {Hilbert J.}",

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Mejias, JF, Torres, JJ, Johnson, S & Kappen, HJ 2009, Switching dynamics of neural systems in the presence of multiplicative colored noise. in Bio-Inspired Systems: Computational and Ambient Intelligence - 10th International Work-Conference on Artificial Neural Networks, IWANN 2009, Proceedings. PART 1 edn, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), no. PART 1, vol. 5517 LNCS, pp. 17-23, 10th International Work-Conference on Artificial Neural Networks, IWANN 2009, Salamanca, Spain, 10/06/09. https://doi.org/10.1007/978-3-642-02478-8_3

Switching dynamics of neural systems in the presence of multiplicative colored noise. / Mejias, Jorge F.; Torres, Joaquin J.; Johnson, Samuel et al.
Bio-Inspired Systems: Computational and Ambient Intelligence - 10th International Work-Conference on Artificial Neural Networks, IWANN 2009, Proceedings. PART 1. ed. 2009. p. 17-23 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5517 LNCS, No. PART 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Switching dynamics of neural systems in the presence of multiplicative colored noise

AU - Mejias, Jorge F.

AU - Torres, Joaquin J.

AU - Johnson, Samuel

AU - Kappen, Hilbert J.

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N2 - We study the dynamics of a simple bistable system driven by multiplicative correlated noise. Such system mimics the dynamics of classical attractor neural networks with an additional source of noise associated, for instance, with the stochasticity of synaptic transmission. We found that the multiplicative noise, which performs as a fluctuating barrier separating the stable solutions, strongly influences the behaviour of the system, giving rise to complex time series and scale-free distributions for the escape times of the system. This finding may be of interest to understand nonlinear phenomena observed in real neural systems and to design bio-inspired artificial neural networks with convenient complex characteristics.

AB - We study the dynamics of a simple bistable system driven by multiplicative correlated noise. Such system mimics the dynamics of classical attractor neural networks with an additional source of noise associated, for instance, with the stochasticity of synaptic transmission. We found that the multiplicative noise, which performs as a fluctuating barrier separating the stable solutions, strongly influences the behaviour of the system, giving rise to complex time series and scale-free distributions for the escape times of the system. This finding may be of interest to understand nonlinear phenomena observed in real neural systems and to design bio-inspired artificial neural networks with convenient complex characteristics.

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KW - Multiplicative colored noise

KW - Neural up and down states

KW - Switching dynamics

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T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

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Mejias JF, Torres JJ, Johnson S, Kappen HJ. Switching dynamics of neural systems in the presence of multiplicative colored noise. In Bio-Inspired Systems: Computational and Ambient Intelligence - 10th International Work-Conference on Artificial Neural Networks, IWANN 2009, Proceedings. PART 1 ed. 2009. p. 17-23. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); PART 1). doi: 10.1007/978-3-642-02478-8_3

Switching dynamics of neural systems in the presence of multiplicative colored noise

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Keywords

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