
Previous Article
Bordercollision bifurcations in a generalized piecewise linearpower map
 DCDSB Home
 This Issue

Next Article
Traveling wave solutions and its stability for 3D GinzburgLandau type equation
Firing control of ink gland motor cells in Aplysia californica
1.  Department of Dynamics and Control, Beihang University, Beijing 100191, China 
2.  Mathematical and Computational Department, Anhui Huainan Normal University, Anhui, 232007, China 
3.  Center for Neural Science and Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, United States 
References:
show all references
References:
[1] 
Daniele Andreucci, Dario Bellaveglia, Emilio N.M. Cirillo, Silvia Marconi. Effect of intracellular diffusion on currentvoltage curves in potassium channels. Discrete and Continuous Dynamical Systems  B, 2014, 19 (7) : 18371853. doi: 10.3934/dcdsb.2014.19.1837 
[2] 
Tiejun Li, Tongkai Li, Shaoying Lu. Nooscillation theorem for the transient dynamics of the linear signal transduction pathway and beyond. Discrete and Continuous Dynamical Systems  B, 2020, 25 (7) : 27492774. doi: 10.3934/dcdsb.2020030 
[3] 
Lin Wang, James Watmough, Fang Yu. Bifurcation analysis and transient spatiotemporal dynamics for a diffusive plantherbivore system with Dirichlet boundary conditions. Mathematical Biosciences & Engineering, 2015, 12 (4) : 699715. doi: 10.3934/mbe.2015.12.699 
[4] 
Emile Franc Doungmo Goufo, Melusi Khumalo, Patrick M. Tchepmo Djomegni. Perturbations of HindmarshRose neuron dynamics by fractional operators: Bifurcation, firing and chaotic bursts. Discrete and Continuous Dynamical Systems  S, 2020, 13 (3) : 663682. doi: 10.3934/dcdss.2020036 
[5] 
Xianjun Wang, Huaguang Gu, Bo Lu. Big homoclinic orbit bifurcation underlying postinhibitory rebound spike and a novel threshold curve of a neuron. Electronic Research Archive, 2021, 29 (5) : 29873015. doi: 10.3934/era.2021023 
[6] 
Xiaoxian Tang, Jie Wang. Bistability of sequestration networks. Discrete and Continuous Dynamical Systems  B, 2021, 26 (3) : 13371357. doi: 10.3934/dcdsb.2020165 
[7] 
Jonathan P. Desi, Evelyn Sander, Thomas Wanner. Complex transient patterns on the disk. Discrete and Continuous Dynamical Systems, 2006, 15 (4) : 10491078. doi: 10.3934/dcds.2006.15.1049 
[8] 
Josselin Garnier, George Papanicolaou, TzuWei Yang. Mean field model for collective motion bistability. Discrete and Continuous Dynamical Systems  B, 2019, 24 (2) : 851879. doi: 10.3934/dcdsb.2018210 
[9] 
Yuri Nechepurenko, Michael Khristichenko, Dmitry Grebennikov, Gennady Bocharov. Bistability analysis of virus infection models with time delays. Discrete and Continuous Dynamical Systems  S, 2020, 13 (9) : 23852401. doi: 10.3934/dcdss.2020166 
[10] 
Valentin Duruisseaux, Antony R. Humphries. Bistability, bifurcations and chaos in the MackeyGlass equation. Journal of Computational Dynamics, 2022 doi: 10.3934/jcd.2022009 
[11] 
Diogo Poças, Bartosz Protas. Transient growth in stochastic Burgers flows. Discrete and Continuous Dynamical Systems  B, 2018, 23 (6) : 23712391. doi: 10.3934/dcdsb.2018052 
[12] 
Philippe Michel, Suman Kumar Tumuluri. A note on a neuron network model with diffusion. Discrete and Continuous Dynamical Systems  B, 2020, 25 (9) : 36593676. doi: 10.3934/dcdsb.2020085 
[13] 
Shinji Nakaoka, Hisashi Inaba. Demographic modeling of transient amplifying cell population growth. Mathematical Biosciences & Engineering, 2014, 11 (2) : 363384. doi: 10.3934/mbe.2014.11.363 
[14] 
Holger Heumann, Ralf Hiptmair, Cecilia Pagliantini. Stabilized Galerkin for transient advection of differential forms. Discrete and Continuous Dynamical Systems  S, 2016, 9 (1) : 185214. doi: 10.3934/dcdss.2016.9.185 
[15] 
Iryna Sushko, Anna Agliari, Laura Gardini. Bistability and bordercollision bifurcations for a family of unimodal piecewise smooth maps. Discrete and Continuous Dynamical Systems  B, 2005, 5 (3) : 881897. doi: 10.3934/dcdsb.2005.5.881 
[16] 
Jie Li, Weinian Zhang. Transition between monostability and bistability of a genetic toggle switch in Escherichia coli. Discrete and Continuous Dynamical Systems  B, 2020, 25 (5) : 18711894. doi: 10.3934/dcdsb.2020007 
[17] 
George Dassios, Michalis N. Tsampas. Vector ellipsoidal harmonics and neuronal current decomposition in the brain. Inverse Problems and Imaging, 2009, 3 (2) : 243257. doi: 10.3934/ipi.2009.3.243 
[18] 
Stefano Cosenza, Paolo Crucitti, Luigi Fortuna, Mattia Frasca, Manuela La Rosa, Cecilia Stagni, Lisa Usai. From Net Topology to Synchronization in HR Neuron Grids. Mathematical Biosciences & Engineering, 2005, 2 (1) : 5377. doi: 10.3934/mbe.2005.2.53 
[19] 
HungChu Hsu. Exact azimuthal internal waves with an underlying current. Discrete and Continuous Dynamical Systems, 2017, 37 (8) : 43914398. doi: 10.3934/dcds.2017188 
[20] 
Feng Zhang, Alice Lubbe, Qishao Lu, Jianzhong Su. On bursting solutions near chaotic regimes in a neuron model. Discrete and Continuous Dynamical Systems  S, 2014, 7 (6) : 13631383. doi: 10.3934/dcdss.2014.7.1363 
2020 Impact Factor: 1.327
Tools
Metrics
Other articles
by authors
[Back to Top]