[1] |
Matutini, F.; Baudry, J.; Fortin, M. J.; Pain, G.; Pithon, J., Integrating landscape resistance and multi-scale predictor of habitat selection for amphibian distribution modelling at large scale, Landscape Ecol, 36, 12, 3557-3573 (2021) |
[2] |
Ajemian, M. J.; Powers, S. P., Towed-float satellite telemetry tracks large-scale movement and habitat connectivity of myliobatid stingrays, Environ Biol Fishes, 97, 9, 1067-1081 (2014) |
[3] |
Bouchnita, A.; Jebrane, A., A hybrid multi-scale model of COVID-19 transmission dynamics to assess the potential of non-pharmaceutical interventions, Chaos Solitons Fractals, 138, Article 109941 pp. (2020) |
[4] |
Yan, T.; Wong, P. K.; Ren, H.; Wang, H.; Wang, J.; Li, Y., Automatic distinction between COVID-19 and common pneumonia using multi-scale convolutional neural network on chest CT scans, Chaos Solitons Fractals, 140, Article 110153 pp. (2020) |
[5] |
Qian, Y. J.; Liu, Z. X.; Yang, X. D.; Hwang, I.; Zhang, W., Novel subharmonic resonance periodic orbits of a solar sail in Earth-Moon system, J Guid Control Dyn, 42, 11, 2532-2540 (2019) |
[6] |
Qian, Y. J.; Yang, X. D.; Zhang, W.; Zhai, G. Q., Periodic motion analysis around the libration points by polynomial expansion method in planar circular restricted three-body problem, Nonlinear Dynam, 91, 1, 39-54 (2018) |
[7] |
Kuehn, C., Multiple time scale dynamics (2015), Springer · Zbl 1335.34001 |
[8] |
Desroches, M.; Guckenheimer, J.; Krauskopf, B.; Kuehn, C.; Osinga, H. M.; Wechselberger, M., Mixed-mode oscillations with multiple time scales, Siam Rev, 54, 2, 211-288 (2012) · Zbl 1250.34001 |
[9] |
Beims, M. W.; Gallas, J. A., Predictability of the onset of spiking and bursting in complex chemical reactions, Phys Chem Chem Phys, 20, 27, 18539-18546 (2018) |
[10] |
Vijay, S. D.; Kingston, S. L.; Thamilmaran, K., Different transitions of bursting and mixed-mode oscillations in Lienard system, AEU-Int J Electron Commun, 111, Article 152898 pp. (2019) |
[11] |
Slepukhina, E.; Bashkirtseva, I.; Ryashko, L., Stochastic spiking-bursting transitions in a neural birhythmic 3D model with the Lukyanov-Shilnikov bifurcation, Chaos Solitons Fractals, 138, Article 109958 pp. (2020) · Zbl 1490.92008 |
[12] |
Tabekoueng Njitacke, Z.; Laura Matze, C.; Fouodji Tsotsop, M.; Kengne, J., Remerging feigenbaum trees, coexisting behaviors and bursting oscillations in a novel 3D generalized Hopfield neural network, Neural Process Lett, 52, 1, 267-289 (2020) |
[13] |
Razvan, M. R.; Yasaman, S., Emergence of bursting in two coupled neurons of different types of excitability, Chaos Solitons Fractals, 132, Article 109482 pp. (2020) · Zbl 1434.34044 |
[14] |
Zhou, C. Y.; Li, Z. J.; Xie, F.; Ma, M. L.; Zhang, Y., Bursting oscillations in Sprott B system with multi-frequency slow excitations: two novel “Hopf/Hopf”-hysteresis-induced bursting and complex AMB rhythms, Nonlinear Dynam, 97, 4, 2799-2811 (2019) · Zbl 1430.70086 |
[15] |
Wang, J.; Lu, B.; Liu, S. Q.; Jiang, X. F., Bursting types and bifurcation analysis in the pre-Bötzinger complex respiratory rhythm neuron, Int J Bifurcation Chaos, 27, 01, Article 1750010 pp. (2017) · Zbl 1358.34057 |
[16] |
Barrio, R.; Ibáñez, S.; Pérez, L.; Serrano, S., Spike-adding structure in fold/hom bursters, Commun Nonlinear Sci Numer Simul, 83, Article 105100 pp. (2020) · Zbl 1453.37080 |
[17] |
Shilnikov, A.; Cymbalyuk, G., Transition between tonic spiking and bursting in a neuron model via the blue-sky catastrophe, Phys Rev Lett, 94, 4, Article 048101 pp. (2005) |
[18] |
Izhikevich, E. M., Neural excitability, spiking and bursting, Int J Bifurcation Chaos, 10, 06, 1171-1266 (2000) · Zbl 1090.92505 |
[19] |
Han, X. J.; Xia, F. B.; Zhang, C.; Yu, Y., Origin of mixed-mode oscillations through speed escape of attractors in a Rayleigh equation with multiple-frequency excitations, Nonlinear Dynam, 88, 4, 2693-2703 (2017) |
[20] |
Han, X. J.; Bi, Q. S.; Kurths, J., Route to bursting via pulse-shaped explosion, Phys Rev E, 98, 1, Article 010201 pp. (2018) |
[21] |
Szabelski, K.; Warmiński, J., Parametric self-excited non-linear system vibrations analysis with inertial excitation, Int J Non-Linear Mech, 30, 2, 179-189 (1995) · Zbl 0821.70017 |
[22] |
Warmiński, J., Nonlinear normal modes of a self-excited system driven by parametric and external excitations, Nonlinear Dynam, 61, 4, 677-689 (2010) · Zbl 1204.70027 |
[23] |
Wei, M. K.; Han, X. J.; Zhang, X. F.; Bi, Q. S., Positive and negative pulse-shaped explosion as well as bursting oscillations induced by it, Chinese J Theoret Appl Mech, 51, 3, 904-911 (2019) |
[24] |
Wei, M. K.; Han, X. J.; Zhang, X. F.; Bi, Q. S., Bursting oscillations induced by bistable pulse-shaped explosion in a nonlinear oscillator with multiple-frequency slow excitations, Nonlinear Dynam, 99, 2, 1301-1312 (2020) |
[25] |
Wei, M. K.; Jiang, W. A.; Ma, X. D.; Han, X. J.; Bi, Q. S., A new route to pulse-shaped explosion and its induced bursting dynamics, Nonlinear Dynam, 104, 4, 4493-4503 (2021) |
[26] |
Song, J.; Wei, M. K.; An, J. W.; Zhang, X. F.; Han, X. J.; Bi, Q. S., Compound relaxation oscillations connected by pulse-shaped explosion, Acta Phys Sin, 69, 7, Article 070501 pp. (2020) |
[27] |
Ma, X. D.; Song, J.; Wei, M. K.; Han, X. J.; Bi, Q. S., Complex bursting patterns in a van der Pol-Mathieu-Duffing oscillator, Int J Bifurcation Chaos, 31, 06, Article 2150082 pp. (2021) · Zbl 1469.34054 |
[28] |
Ma, X. D.; Jiang, W. A.; Yu, Y., Periodic bursting behaviors induced by pulse-shaped explosion or non-pulse-shaped explosion in a van der Pol-Mathieu oscillator with external excitation, Commun Nonlinear Sci Numer Simul, 103, Article 105959 pp. (2021) · Zbl 1482.34113 |
[29] |
Zhang, X. Y.; Chen, L. M.; Zhao, F.; Cui, X. K.; Wang, S. Q., Bursting dynamics triggered by the pulse-shaped explosion phenomenon in a parametrically and externally driven van der Pol-Mathieu system, Eur Phys J Plus, 137, 5, 627 (2022) |
[30] |
Kaviya, B.; Suresh, R.; Chandrasekar, V. K., Extreme bursting events via pulse-shaped explosion in mixed Rayleigh-Liénard nonlinear oscillator, Eur Phys J Plus, 137, 7, 844 (2022) |
[31] |
Chen, Z. Y.; Chen, F. Q., Mixed mode oscillations induced by bi-stability and fractal basins in the FGP plate under slow parametric and resonant external excitations, Chaos Solitons Fractals, 137, Article 109814 pp. (2020) · Zbl 1489.34056 |
[32] |
Han, X. J.; Bi, Q. S.; Ji, P.; Kurths, J., Fast-slow analysis for parametrically and externally excited systems with two slow rationally related excitation frequencies, Phys Rev E, 92, 1, Article 012911 pp. (2015) |
[33] |
Hazewinkel, M., De Moivre formula. encyclopedia of mathematics (1994), Springer: Springer Berlin |
[34] |
Wei, M. K.; Jiang, W. A.; Ma, X. D.; Zhang, X. F.; Han, X. J.; Bi, Q. S., Compound bursting dynamics in a parametrically and externally excited mechanical system, Chaos Solitons Fractals, 143, Article 110605 pp. (2021) |