Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Cognitive Neurodynamics
Published in: Cognitive Neurodynamics 4/2022

06-11-2021 | Research Article

Effects of chaotic activity and time delay on signal transmission in FitzHugh-Nagumo neuronal system

Authors: Dong Yu, Xiuying Zhou, Guowei Wang, Qianming Ding, Tianyu Li, Ya Jia

Published in: Cognitive Neurodynamics | Issue 4/2022

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The influences of chaotic activity and time delay on the transmission of the sub-threshold signal (STS) in a single FitzHugh-Nagumo neuron and coupled neuronal networks are studied. It is found that a moderate chaotic activity level can enhance the system’s detection and transmission of STS. This phenomenon is known as chaotic resonance (CR). In a single neuron, the large amplitude and small period of the STS have a positive effect on the CR phenomenon. In the coupled neuronal network, however, the signal transmission performance of chemical synapses is better than that of electrical synapses. The time delay can determine the trend of the system response, and the multiple chaotic resonances phenomenon is observed upon fine-tuning the time delay length. Both sub-harmonic chaotic resonance and chaotic anti-resonance appear when the STS period and time delay are locked. In chained networks, the signal transmission performance between electrical synapses attenuates continuously. Conversely, the performance between chemical synapses reaches a steady state.
previous article Effect of steady-state response versus excitatory/inhibitory balance on spiking synchronization in neural networks with log-normal synaptic weight distribution
next article Hamiltonian energy and coexistence of hidden firing patterns from bidirectional coupling between two different neurons

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
Literature
Anatoly B, Sarah R, Michael H, Boris S, Arnd R (2016) Inverse stochastic resonance in cerebellar Purkinje cells. Plos Comput Biol 12:e1005000CrossRef
Asir MP, Jeevarekha A, Philominathan P (2019) Multiple vibrational resonance and anti-resonance in a coupled anharmonic oscillator under monochromatic excitation. Pramana-J Phys 93:43CrossRef
Bahar S, Neiman A, Wilkens LA, Moss F (2002) Phase synchronization and stochastic resonance effects in the crayfish caudal photoreceptor. Phys Rev E 65:050901CrossRef
Bahar S, Moss F (2004) Stochastic resonance and synchronization in the crayfish caudal photoreceptor. Math Biosci 188:81–97PubMedCrossRef
Baysal V, Saraç Z, Yilmaz E (2019) Chaotic resonance in Hodgkin-Huxley neuron. Nonlinear Dyn 97:1275–1285CrossRef
Baysal V, Erdem E, Yilmaz E (2021) Impacts of autapse on chaotic resonance in single neurons and small-world neuronal networks. Phil Trans R Soc A 379:2198CrossRef
Benzi R, Parisi G, Sutera A, Vulpiani A (1982) Stochastic resonance in climatic change. Tellus A 34:10–16CrossRef
Borromeo M, Giusepponi S, Marchesoni F (2006) Recycled noise rectification: an automated Maxwell’s daemon. Phys Rev E 74(3):031121CrossRef
Borromeo M, Marchesoni F (2005) Mobility oscillations in high-frequency modulated devices. EPL 72(3):362CrossRef
Borromeo M, Marchesoni F (2007) Artificial sieves for quasimassless particles. Phys Rev Lett 99:150605PubMedCrossRef
Borromeo M, Marchesoni F (2007) Stochastic synchronization via noise recycling. Phys Rev E 75(4):041106CrossRef
Deng B, Wang J, Wei X (2009) Effect of chemical synapse on vibrational resonance in coupled neurons. Chaos 19(1):223CrossRef
Deng B, Wang J, Wei X, Tsang KM, Chan WL (2010) Vibrational resonance in neuron populations. Chaos 20(1):013113PubMedCrossRef
Erkan Y, Saraç Z, Yılmaz E (2019) Effects of astrocyte on weak signal detection performance of Hodgkin-Huxley neuron. Nonlinear Dyn 95:3411–3421CrossRef
Gammaitoni L, Hanggi P, Jung P, Marchesoni F (1998) Stochastic resonance. Rev Mod Phys 70:223CrossRef
Gan C, Matjaz P, Wang Q (2010) Delay-aided stochastic multi-resonances on scale-free FitzHugh–Nagumo neuronal networks. Chinese Phys B 19:128–133
Ge M, Jia Y, Kirunda JB, Xu Y, Shen J, Lu L, Liu Y, Pei Q, Zhan X, Yang L (2018) Propagation of firing rate by synchronization in a feed-forward multilayer Hindmarsh-Rose neural network. Neurocomputing 320:60–68CrossRef
Ge M, Jia Y, Xu Y, Lu L, Wang H, Zhao Y (2019) Wave propagation and synchronization induced by chemical autapse in chain Hindmarsh-Rose neural network. Appl Math Comput 352:136–145
Ge M, Lu L, Xu Y, Mamatimin R, Jia Y (2020) Vibrational mono-/bi-resonance and wave propagation in FitzHugh–Nagumo neural systems under electromagnetic induction. Chaos Soliton Fract 133:109645CrossRef
Ge M, Jia Y, Lu L, Xu Y, Zhao Y (2020b) Propagation characteristics of weak signal in feedforward Izhikevich neural networks. Nonlinear Dyn 99:2355–2367CrossRef
Ge M, Wang G, Jia Y (2021) Influence of the Gaussian colored noise and electromagnetic radiation on the propagation of subthreshold signals in feedforward neural networks. Sci China Technol Sc 64:847–857CrossRef
Guo D, Perc M, Zhang Y, Xu P, Yao D (2017) Frequency-difference-dependent stochastic resonance in neural systems. Phys Rev E 96:022415PubMedCrossRef
He Z, Yao C, Shuai J, Nakano T (2020) Enhanced vibrational resonance in a single neuron with chemical autapse for signal detection. Chinese Phys B 29:128702CrossRef
Hou Z, Ma J, Zhan X, Yang L, Jia Y (2021) Estimate the electrical activity in a neuron under depolarization field. Chaos Soliton Fract 142:110522CrossRef
Hu D, Yang J, Liu X (2014) Vibrational resonance in the FitzHugh-Nagumo system with time-varying delay feedback. Comput Biol Med 45:80–86PubMedCrossRef
Hu G, Ditzinger T, Ning C, Haken H (1993) Stochastic resonance without external periodic force. Phys Rev Lett 71:807–810CrossRef
Jia B, Gu HG, Li L, Zhao X (2012) Dynamics of period-doubling bifurcation to chaos in the spontaneous neural firing patterns. Cogn Neurodyn 6(1):89–106PubMedCrossRef
Landa PS, Mcclintock PVE (2000) Vibrational resonance. J Phys A Math Gen 33(45):L433–L438CrossRef
Li X, Wang J, Hu W (2007) Effects of chemical synapses on the enhancement of signal propagation in coupled neurons near the canard regime. Phys Rev E 76(4):041902CrossRef
Liu Y, Ma J, Xu Y, Jia Y (2019) Electrical mode transition of hybrid neuronal model induced by external stimulus and electromagnetic induction. Int J Bifurcat Chaos 29:1950156CrossRef
LoCher M, Cigna D, Hunt ER, Johnson GA, Marchesoni F, Gammaitoni L, Inchiosa ME, Bulsara AR (1998) Stochastic resonance in coupled nonlinear dynic elements. Chaos 8(3):604–615PubMedCrossRef
Lu L, Jia Y, Kirunda JB, Xu Y, Ge M, Pei Q, Yang L (2019a) Effects of noise and synaptic weight on propagation of subthreshold excitatory postsynaptic current signal in a feed-forward neural network. Nonlinear Dyn 95:1673–1686CrossRef
Lu L, Jia Y, Xu Y, Yang L, Zhan X (2019b) Energy dependence on modes of electric activities of neuron driven by different external mixed signals under electromagnetic induction. Sci China Technol Sci 62:427–440CrossRef
Lu L, Jia Y, Kirunda JB, Xu Y, Ge M, Pei Q, Yang L (2019c) Effects of noise and synaptic weight on propagation of subthreshold excitatory postsynaptic current signal in a feed-forward neural network. Nonlinear Dyn 95(2):1673–1686CrossRef
Lu L, Jia Y, Ge M, Xu Y, Li A (2020) Inverse stochastic resonance in Hodgkin-Huxley neural system driven by Gaussian and non-Gaussian colored noises. Nonlinear Dyn 100:877–889CrossRef
Ma J, Ying H, Pu Z (2005) An anti-control scheme for spiral under Lorenz chaotic signals. Chinese Phys Lett 22(5):1065–1068CrossRef
Masoller C (2003) Distribution of residence times of time-delayed bistable systems driven by noise. Phys Rev Lett 90(2):020601PubMedCrossRef
Mori T, Kai S (2002) Noise-induced entrainment and stochastic resonance in human brain waves. Phys Rev Lett 88:218101PubMedCrossRef
Muhammet U, Ernest B, Torres JJ (2017) Inverse stochastic resonance in networks of spiking neurons. Plos Comput Biol 13:e1005646CrossRef
Paul K, Cauller LJ, Llano DA (2016) Presence of a chaotic region at the sleep-wake transition in a simplified thalamocortical circuit model. Front Comput Neurosci 10:91PubMedPubMedCentralCrossRef
Rosanova M, Timofeev I (2005) Neuronal mechanisms mediating the variability of somatosensory evoked potentials during sleep oscillations in cats. J Physiol 562(2):569–582PubMedCrossRef
Schweighofer N, Doya K, Fukai H, Chiron JV, Furukawa T, Kawato M (2004) Chaos may enhance information transmission in the inferior olive. P Natl Acad Sci USA 101(13):4655–4660CrossRef
Somers D, Kopell N (1993) Rapid synchronization through fast threshold modulation. Biol Cybern 68(5):393–407PubMedCrossRef
Srebro R, Malladi P (1999) Stochastic resonance of the visually evoked potential. Phys Rev E 59:2566–2570CrossRef
Stufflebeam SM, Poeppel D, Roberts PL (2000) Timothy, Temporal encoding in auditory evoked neuromagnetic fields: stochastic resonance. NeuroReport 11:4081PubMedCrossRef
Uzuntarla M, Torres JJ, So P, Ozer M, Barreto E (2017) Double inverse stochastic resonance with dynamic synapses. Phys Rev E 95:012404PubMedCrossRef
Vanvreeswijk C, Sompolinsky H (1996) Chaos in neuronal networks with balanced excitatory and inhibitory activity. Science 274(5293):1724–1726CrossRef
Volkov EI, Ullner E, Zaikin AA, Kurths J (2003) Oscillatory amplification of stochastic resonance in excitable systems. Phys Rev E 68:026214CrossRef
Wang G, Yu D, Ding Q, Li T, Jia Y (2021) Effects of electric field on multiple vibrational resonances in Hindmarsh–Rose neuronal systems. Chaos Soliton Fract 150:111210CrossRef
Wang G, Ge M, Lu L, Jia Y, Zhao Y (2021b) Study on propagation efficiency and fidelity of subthreshold signal in feed-forward hybrid neural network under electromagnetic radiation. Nonlinear Dyn 103(3):2627–2643CrossRef
Wang Q, Perc M, Duan Z, Chen G (2009) Delay-induced multiple stochastic resonances on scale-free neuronal networks. Chaos 19:023112PubMedCrossRef
Wang Q, Zhang H, Chen G (2012) Effect of the heterogeneous neuron and information transmission delay on stochastic resonance of neuronal networks. Chaos 22:043123PubMedCrossRef
Wang R, Wang Z, Zhu Z (2018) The essence of neuronal activity from the consistency of two different neuron models. Nonlinear Dyn 92(3):973–982CrossRef
Wang R, Zhu Y (2016) Can the activities of the large scale cortical network be expressed by neural energy? A Brief Review Cogn Neurodyn 10(1):1–5PubMedCrossRef
Wu X, Yao C, Shuai J (2015) Enhanced multiple vibrational resonances by Na+ and K+ dynamics in a neuron model. Sci Rep-Uk 5:7684CrossRef
Xu Y, Jia Y, Ge M, Lu L, Yang L, Zhan X (2018a) Effects of ion channel blocks on electrical activity of stochastic Hodgkin-Huxley neural network under electromagnetic induction. Neurocomputing 283:196–204CrossRef
Xu Y, Jia Y, Kirunda JB, Shen J, Ge M, Lu L, Pei Q (2018b) Dynamic behaviors in coupled neurons system with the excitatory and inhibitory autapse under electromagnetic induction. Complexity 2018:3012743CrossRef
Xu Y, Jia Y, Wang H, Yi M, Zhao Y (2019a) Spiking activities in chain neural network driven by channel noise with field coupling. Nonlinear Dyn 95:3237–3247CrossRef
Xu Y, Guo Y, Ren G, Ma J (2020) Dynamics and stochastic resonance in a thermosensitive neuron. Appl Math Comput 385:125427
Yang L, Liu W, Yi M, Wang C, Zhu Q, Zhan X, Jia Y (2012) Vibrational resonance induced by transition of phase-locking modes in excitable systems. Phys Rev E 86:016209CrossRef
Yao C, He Z, Nakano T, Qian Y, Shuai J (2019a) Inhibitory-autapse-enhanced signal transmission in neural networks. Nonlinear Dyn 97:1425–1437CrossRef
Yao C, He Z (2020) Anormal diffusion enhancement of resonant responses for coupled oscillator networks to weak signals. Chaos 30(8):083120PubMedCrossRef
Yao C, Liu Y, Zhan M (2011) Frequency-resonance-enhanced vibrational resonance in bistable systems. Phys Rev E 83:061122CrossRef
Yao Y, Ma C, Wang C, Yi M, Gui R (2018) Detection of sub-threshold periodic signal by multiplicative and additive cross-correlated sine-Wiener noises in the FitzHugh–Nagumo neuron. Physica A 492:1247–1256CrossRef
Yao Y, Su C, Xiong J (2019) Enhancement of weak signal detection in the Hodgkin-Huxley neuron subjected to electromagnetic fluctuation. Physica A 531:121734CrossRef
Yu H, Li K, Guo X, Wang J, Deng B, Liu C (2020) Firing rate oscillation and stochastic resonance in cortical networks with electrical-chemical synapses and time delay. IEEE T Fuzzy Syst 28:5–13CrossRef
Yu D, Lu L, Wang G, Yang L, Jia Y (2021) Synchronization mode transition induced by bounded noise in multiple time-delays coupled FitzHugh-Nagumo model. Chaos Soliton Fract 147:111000CrossRef
Zhou X, Xu Y, Wang G, Jia Y (2020) Ionic channel blockage in stochastic Hodgkin-Huxley neuronal model driven by multiple oscillatory signals. Cogn Neurodyn 14:569–578PubMedPubMedCentralCrossRef
Metadata
Title
Effects of chaotic activity and time delay on signal transmission in FitzHugh-Nagumo neuronal system
Authors
Dong Yu
Xiuying Zhou
Guowei Wang
Qianming Ding
Tianyu Li
Ya Jia
Publication date
06-11-2021
Publisher
Springer Netherlands
Published in
Cognitive Neurodynamics / Issue 4/2022
Print ISSN: 1871-4080
Electronic ISSN: 1871-4099
DOI
https://doi.org/10.1007/s11571-021-09743-5

Other articles of this Issue 4/2022

Cognitive Neurodynamics 4/2022 Go to the issue

Research Article

The time-varying networks of the wrist extension in post-stroke hemiplegic patients

Research Article

TOXGB: Teamwork Optimization Based XGBoost model for early identification of post-traumatic stress disorder

Research Article

Deep-layer motif method for estimating information flow between EEG signals

Research Article

Coefficient-of-variation-based channel selection with a new testing framework for MI-based BCI

Research Article

4D attention-based neural network for EEG emotion recognition

Research Article

Effect of steady-state response versus excitatory/inhibitory balance on spiking synchronization in neural networks with log-normal synaptic weight distribution