Hamilton energy balance and synchronization behaviors of two functional neurons

Achour SB, Pascual O (2012) Astrocyte-neuron communication: functional consequences[J]. Neurochem Res 37(11):2464–2473

Article  PubMed  Google Scholar 

An XL, Qiao S (2021) The hidden, period-adding, mixed-mode oscillations and control in a HR neuron under electromagnetic induction[J]. Chaos Solitons Fractals 143:110587

Article  Google Scholar 

Bao BC, Wu PY, Bao H et al (2018) Numerical and experimental confirmations of quasi-periodic behavior and chaotic bursting in third-order autonomous memristive oscillator[J]. Chaos Solitons Fractals 106:161–170

Article  Google Scholar 

Bao H, Zhang YZ, Liu WB et al (2020) Memristor synapse-coupled memristive neuron network: synchronization transition and occurrence of chimera[J]. Nonlinear Dyn 100(1):937–950

Article  Google Scholar 

Citri A, Malenka RC (2008) Synaptic plasticity: multiple forms, functions, and mechanisms[J]. Neuropsychopharmacology 33(1):18–41

Article  PubMed  Google Scholar 

FitzHugh R (1961) Impulses and physiological states in theoretical models of nerve membrane[J]. Biophys J 1(6):445–446

Article  PubMed  PubMed Central  CAS  Google Scholar 

Guo YY, Zhu ZG, Wang CN et al (2020) Coupling synchronization between photoelectric neurons by using memristive synapse[J]. Optik 218:164993

Article  Google Scholar 

Hindmarsh JL, Rose RM (1984) A model of neuronal bursting using three coupled first order differential equations[J]. Proc Royal Soc Lond Series B Biol Sci 221(1222):87–102

CAS  Google Scholar 

Hodgkin AL, Huxley AF, Katz B (1952) Measurement of current-voltage relations in the membrane of the giant axon of Loligo[J]. J Physiol 116(4):424–448

Article  PubMed  PubMed Central  CAS  Google Scholar 

Liu ZL, Ma J, Zhang G et al (2019a) Synchronization control between two Chua′s circuits via capacitive coupling[J]. Appl Math Comput 360:94–106

Google Scholar 

Liu ZL, Wang CN, Jin WY et al (2019b) Capacitor coupling induces synchronization between neural circuits[J]. Nonlinear Dyn 97(4):2661–2673

Article  Google Scholar 

Liu Y, Xu WJ, Ma J et al (2020a) A new photosensitive neuron model and its dynamics [J]. Front Inf Technol Electron Eng 21(9):1387–1396

Article  Google Scholar 

Liu ZL, Zhou P, Ma J et al (2020b) Autonomic learning via saturation gain method, and synchronization between neurons[J]. Chaos Solitons Fractals 131:109533

Article  Google Scholar 

Lu LL, Jia Y, Xu Y et al (2019) Energy dependence on modes of electric activities of neuron driven by different external mixed signals under electromagnetic induction[J]. Sci China Technol Sci 62(3):427–440

Article  Google Scholar 

Ma XW, Xu Y (2022) Taming the hybrid synapse under energy balance between neurons[J]. Chaos Solitons Fractals 159:112149

Article  Google Scholar 

Ma J, Wu FQ, Wang CN (2017) Synchronization behaviors of coupled neurons under electromagnetic radiation[J]. Int J Mod Phys B 31(2):1650251

Article  Google Scholar 

Ma J, Yang ZQ, Yang LJ et al (2019) A physical view of computational neurodynamics[J]. J Zhejiang Univ-Sci A 20(9):639–659

Article  Google Scholar 

Magee JC, Grienberger C (2020) Synaptic plasticity forms and functions[J]. Annu Rev Neurosci 43:95–117

Article  PubMed  CAS  Google Scholar 

Meyer D, Bonhoeffer T, Scheuss V (2014) Balance and stability of synaptic structures during synaptic plasticity[J]. Neuron 82(2):430–443

Article  PubMed  CAS  Google Scholar 

Miller AC, Voelker LH, Shah AN et al (2015) Neurobeachin is required postsynaptically for electrical and chemical synapse formation[J]. Curr Biol 25(1):16–28

Article  PubMed  CAS  Google Scholar 

Morris C, Lecar H (1981) Voltage oscillations in the barnacle giant muscle fiber[J]. Biophys J 35(1):193–213

Article  PubMed  PubMed Central  CAS  Google Scholar 

Qiao S, An XL (2021) Dynamic expression of a HR neuron model under an electric field[J]. Int J Mod Phys B 35(02):2150024

Article  Google Scholar 

Qin HX, Wang CN, Cai N et al (2018) Field coupling-induced pattern formation in two-layer neuronal network[J]. Physica A 501:141–152

Article  Google Scholar 

Qin HX, Ma J, Ren GD et al (2018) Field coupling-induced wave propagation and pattern stability in a two-layer neuronal network under noise[J]. Int J Modern Phys B 32(27):1850298

Article  Google Scholar 

Ren GD, Xu Y, Wang CN (2017) Synchronization behavior of coupled neuron circuits composed of memristors[J]. Nonlinear Dyn 88(2):893–901

Article  Google Scholar 

Rocha R, Ruthiramoorthy J, Kathamuthu T (2017) Memristive oscillator based on Chua’s circuit: stability analysis and hidden dynamics[J]. Nonlinear Dyn 88(4):2577–2587

Article  Google Scholar 

Shafiei M, Jafari S, Parastesh F et al (2020) Time delayed chemical synapses and synchronization in multilayer neuronal networks with ephaptic inter-layer coupling[J]. Commun Nonlinear Sci Numer Simul 84:105175

Article  Google Scholar 

Shahverdiev EM, Hashimova LH, Bayramov PA et al (2015) Chaos synchronization between time delay coupled Josephson junctions governed by a central junction[J]. J Supercond Novel Magn 28(12):3499–3505

Article  CAS  Google Scholar 

Shinomoto S, Kim H, Shimokawa T et al (2009) Relating neuronal firing patterns to functional differentiation of cerebral cortex[J]. PLoS Comput Biol 5(7):e1000433

Article  PubMed  PubMed Central  Google Scholar 

Szűcs A (1998) Applications of the spike density function in analysis of neuronal firing patterns[J]. J Neurosci Methods 81(1–2):159–167

Article  PubMed  Google Scholar 

Ujfalussy BB, Makara JK (2020) Impact of functional synapse clusters on neuronal response selectivity[J]. Nat Commun 11(1):1–14

Article  Google Scholar 

Usha K, Subha P (2019) Collective dynamics and energy aspects of star-coupled Hindmarsh-Rose neuron model with electrical, chemical and field couplings[J]. Nonlinear Dyn 96(3):2115–2124

Article  Google Scholar 

Wang CN, Lv M, Alsaedi A et al (2017a) Synchronization stability and pattern selection in a memristive neuronal network[J]. Chaos 27(11):113108

Article  PubMed  Google Scholar 

Wang Y, Wang CN, Ren GD et al (2017b) Energy dependence on modes of electric activities of neuron driven by multi-channel signals[J]. Nonlinear Dyn 89(3):1967–1987

Article  Google Scholar 

Wang CN, Tang J, Ma J (2019) Minireview on signal exchange between nonlinear circuits and neurons via field coupling[J]. Eur Phys J Spec Top 228(10):1907–1924

Article  Google Scholar 

Wang CN, Wang Y, Ma J (2016) Calculation of Hamilton energy function of dynamical system by using Helmholtz theorem[J]. Acta Phys Sin 65(24):240501

Article  Google Scholar 

Wei LX, Zhang JG, An XL et al (2021) Stability analysis and Hopf bifurcation based on time delay neurons under electromagnetic fields[J]. Int J Mod Phys B 35(28):2150291

Article  Google Scholar 

Xie Y, Yao Z, Hu XK et al (2021b) Enhance sensitivity to illumination and synchronization in light-dependent neurons[J]. Chin Phys B 30(12):120510

Article  Google Scholar 

Xie Y, Yao Z, Ma J (2022) Phase synchronization and energy balance between neurons[J]. Front Inf Technol Electron Eng. https://doi.org/10.1631/FITEE.2100563

Article  Google Scholar 

Xie Y, Zhu ZG, Zhang XF et al (2021) Control of firing mode in nonlinear neuron circuit driven by photocurrent[J]. Acta Phys Sin 70(21):210502

Article  Google Scholar 

Xu LF, Li CD, Chen L (2016) Contrastive analysis of neuron model[J]. Acta Phys Sin 65(24):240701

Article  Google Scholar 

Xu Y, Jia Y, Ma J et al (2018) Collective responses in electrical activities of neurons under field coupling[J]. Sci Rep 8(1):1349

Article  PubMed  PubMed Central  Google Scholar 

Xu Y, Guo YY, Ren GD et al (2020) Dynamics and stochastic resonance in a thermosensitive neuron[J]. Appl Math Comput 385:125427

Google Scholar 

Yang XQ, Ma J, Yi M et al (2011) Delay and diversity-induced synchronization transitions in a small-world neuronal network[J]. Phys Rev E 83(4):046207

Article  Google Scholar 

Yao Z, Wang CN (2021) Control the collective behaviors in a functional neural network [J]. Chaos Solitons Fractals 152:111361

Article  Google Scholar 

Yao Z, Ma J, Yao YG et al (2019) Synchronization realization between two nonlinear circuits via an induction coil coupling[J]. Nonlinear Dyn 96(1):205–217

Article  Google Scholar 

Yao Z, Zhou P, Zhu ZG et al (2021a) Phase synchronization between a light-dependent neuron and a thermosensitive neuron[J]. Neurocomputing 423:518–534

Article  Google Scholar 

Yao Z, Wang CN, Zhou P et al (2021b) Regulating synchronous patterns in neurons and networks via field coupling[J]. Commun Nonlinear Sci Numer Simul 95:105583

Article  Google Scholar 

Yu WT, Zhang J, Tang J (2017) Effects of dynamic synapses, neuronal coupling, and time delay on firing of neuron[J]. Acta Phys Sin 66(20):200201

Article  Google Scholar 

Zandi-Mehran N, Jafari S, Hashemi Golpayegani SMR et al (2020) Different synaptic connections evoke different firing patterns in neurons subject to an electromagnetic field[J]. Nonlinear Dyn 100(2):1809–1824

留言 (0)

沒有登入
gif