publication . Other literature type . Article . 2019

Resonance phenomena controlled by external feedback signals and additive noise in neural systems

Sou Nobukawa; Natsusaku Shibata; Haruhiko Nishimura; Hirotaka Doho; Nobuhiko Wagatsuma; Teruya Yamanishi;
  • Published: 01 Sep 2019
  • Publisher: Springer Science and Business Media LLC
Abstract
Abstract Chaotic resonance is a phenomenon that can replace the fluctuation source in stochastic resonance from additive noise to chaos. We previously developed a method to control the chaotic state for suitably generating chaotic resonance by external feedback even when the external adjustment of chaos is difficult, establishing a method named reduced region of orbit (RRO) feedback. However, a feedback signal was utilized only for dividing the merged attractor. In addition, the signal sensitivity in chaotic resonance induced by feedback signals and that of stochastic resonance by additive noise have not been compared. To merge the separated attractor, we propos...
Subjects
arXiv: Nonlinear Sciences::Chaotic Dynamics
free text keywords: Medicine, R, Science, Q, Article, Dynamical systems, Network models, Biological physics, Multidisciplinary, Attractor, Orbit, Chaotic, Physics, Signal Sensitivity, Resonance, Neural system, Stochastic resonance, Merge (version control), Topology
60 references, page 1 of 4

1.Pikovsky, A., Rosenblum, M. & Kurths, J. Synchronization: a universal concept in nonlinear sciences, vol. 12 (Cambridge university press, 2003).

2.Rajasekar, S. & Sanjuan, M. A. Nonlinear resonances (Springer, 2016).

Majhi, S, Bera, BK, Ghosh, D, Perc, M. Chimera states in neuronal networks: A review. Physics of Life Reviews. 2019; 28: 100-121 [OpenAIRE] [PubMed] [DOI]

Benzi, R, Sutera, A, Vulpiani, A. The mechanism of stochastic resonance. Journal of Physics A: mathematical and general. 1981; 14: L453 [OpenAIRE] [DOI]

Nobukawa, S, Hashimoto, R, Nishimura, H, Yamanishi, T, Chiba, M. Noise-induced phenomena in the kaldor business cycle model. Transactions of the Institute of Systems, Control and Information Engineers. 2017; 30: 459-466 [OpenAIRE] [DOI]

Harmer, GP, Davis, BR, Abbott, D. A review of stochastic resonance: Circuits and measurement. IEEE Transactions on Instrumentation and Measurement. 2002; 51: 299-309 [OpenAIRE] [DOI]

Moss, F, Wiesenfeld, K. The benefits of background noise. Scientific American. 1995; 273: 66-69 [OpenAIRE] [DOI]

Gammaitoni, L, Hänggi, P, Jung, P, Marchesoni, F. Stochastic resonance. Reviews of modern physics. 1998; 70: 223-287 [OpenAIRE] [DOI]

Hänggi, P. Stochastic resonance in biology how noise can enhance detection of weak signals and help improve biological information processing. ChemPhysChem. 2002; 3: 285-290 [OpenAIRE] [PubMed] [DOI]

Guo, D, Perc, M, Liu, T, Yao, D. Functional importance of noise in neuronal information processing. EPL (Europhysics Letters). 2018; 124: 50001 [OpenAIRE] [DOI]

Nobukawa, S, Nishimura, H. Enhancement of spike-timing-dependent plasticity in spiking neural systems with noise. International journal of neural systems. 2016; 26: 1550040 [OpenAIRE] [PubMed] [DOI]

12.Teramae, J.-N., Tsubo, Y. & Fukai, T. Optimal spike-based communication in excitable networks with strong-sparse and weak-dense links. Scientific Reports 2 (2012).

13.Nobukawa, S., Nishimura, H. & Yamanishi, T. Emergent patterns and spontaneous activity in spiking neural networks with dual complex network structure. In 2018 IEEE 17th International Conference on Cognitive Informatics & Cognitive Computing (ICCI* CC), 159–165 (IEEE, 2018).

Wang, Q, Perc, M, Duan, Z, Chen, G. Delay-induced multiple stochastic resonances on scale-free neuronal networks. Chaos: An Interdisciplinary Journal of Nonlinear Science. 2009; 19: 023112 [OpenAIRE] [DOI]

Yilmaz, E, Uzuntarla, M, Ozer, M, Perc, M. Stochastic resonance in hybrid scale-free neuronal networks. Physica A: Statistical Mechanics and its Applications. 2013; 392: 5735-5741 [OpenAIRE] [DOI]

60 references, page 1 of 4
Abstract
Abstract Chaotic resonance is a phenomenon that can replace the fluctuation source in stochastic resonance from additive noise to chaos. We previously developed a method to control the chaotic state for suitably generating chaotic resonance by external feedback even when the external adjustment of chaos is difficult, establishing a method named reduced region of orbit (RRO) feedback. However, a feedback signal was utilized only for dividing the merged attractor. In addition, the signal sensitivity in chaotic resonance induced by feedback signals and that of stochastic resonance by additive noise have not been compared. To merge the separated attractor, we propos...
Subjects
arXiv: Nonlinear Sciences::Chaotic Dynamics
free text keywords: Medicine, R, Science, Q, Article, Dynamical systems, Network models, Biological physics, Multidisciplinary, Attractor, Orbit, Chaotic, Physics, Signal Sensitivity, Resonance, Neural system, Stochastic resonance, Merge (version control), Topology
60 references, page 1 of 4

1.Pikovsky, A., Rosenblum, M. & Kurths, J. Synchronization: a universal concept in nonlinear sciences, vol. 12 (Cambridge university press, 2003).

2.Rajasekar, S. & Sanjuan, M. A. Nonlinear resonances (Springer, 2016).

Majhi, S, Bera, BK, Ghosh, D, Perc, M. Chimera states in neuronal networks: A review. Physics of Life Reviews. 2019; 28: 100-121 [OpenAIRE] [PubMed] [DOI]

Benzi, R, Sutera, A, Vulpiani, A. The mechanism of stochastic resonance. Journal of Physics A: mathematical and general. 1981; 14: L453 [OpenAIRE] [DOI]

Nobukawa, S, Hashimoto, R, Nishimura, H, Yamanishi, T, Chiba, M. Noise-induced phenomena in the kaldor business cycle model. Transactions of the Institute of Systems, Control and Information Engineers. 2017; 30: 459-466 [OpenAIRE] [DOI]

Harmer, GP, Davis, BR, Abbott, D. A review of stochastic resonance: Circuits and measurement. IEEE Transactions on Instrumentation and Measurement. 2002; 51: 299-309 [OpenAIRE] [DOI]

Moss, F, Wiesenfeld, K. The benefits of background noise. Scientific American. 1995; 273: 66-69 [OpenAIRE] [DOI]

Gammaitoni, L, Hänggi, P, Jung, P, Marchesoni, F. Stochastic resonance. Reviews of modern physics. 1998; 70: 223-287 [OpenAIRE] [DOI]

Hänggi, P. Stochastic resonance in biology how noise can enhance detection of weak signals and help improve biological information processing. ChemPhysChem. 2002; 3: 285-290 [OpenAIRE] [PubMed] [DOI]

Guo, D, Perc, M, Liu, T, Yao, D. Functional importance of noise in neuronal information processing. EPL (Europhysics Letters). 2018; 124: 50001 [OpenAIRE] [DOI]

Nobukawa, S, Nishimura, H. Enhancement of spike-timing-dependent plasticity in spiking neural systems with noise. International journal of neural systems. 2016; 26: 1550040 [OpenAIRE] [PubMed] [DOI]

12.Teramae, J.-N., Tsubo, Y. & Fukai, T. Optimal spike-based communication in excitable networks with strong-sparse and weak-dense links. Scientific Reports 2 (2012).

13.Nobukawa, S., Nishimura, H. & Yamanishi, T. Emergent patterns and spontaneous activity in spiking neural networks with dual complex network structure. In 2018 IEEE 17th International Conference on Cognitive Informatics & Cognitive Computing (ICCI* CC), 159–165 (IEEE, 2018).

Wang, Q, Perc, M, Duan, Z, Chen, G. Delay-induced multiple stochastic resonances on scale-free neuronal networks. Chaos: An Interdisciplinary Journal of Nonlinear Science. 2009; 19: 023112 [OpenAIRE] [DOI]

Yilmaz, E, Uzuntarla, M, Ozer, M, Perc, M. Stochastic resonance in hybrid scale-free neuronal networks. Physica A: Statistical Mechanics and its Applications. 2013; 392: 5735-5741 [OpenAIRE] [DOI]

60 references, page 1 of 4
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