
Previous Article
Representation formula for traveling waves to a derivative nonlinear Schrödinger equation with the periodic boundary condition
 PROC Home
 This Issue

Next Article
On higher order nonlinear impulsive boundary value problems
Global bifurcation sheet and diagrams of wavepinning in a reactiondiffusion model for cell polarization
1.  Department of Applied Mathematics and Informatics, Ryukoku University, Seta, Otsu, 5202194, Japan 
2.  Department of Communication Engineering and Informatics, The University of ElectroCommunications, 151 Chofugaoka, Chofushi, Tokyo 1828585 
3.  Research Institute for Electronic Science, Hokkaido University, CREST, Japan Science and Technology Agency, N12W7, KitaWard, Sapporo, 0600812, Japan 
4.  Faculty of Engineering, University of Miyazaki, Miyazaki, 8892192 
5.  Department of Applied Mathematics and Informatics, Ryukoku University, Seta, Otsu, Shiga 5202194 
References:
show all references
References:
[1] 
Anton S. Zadorin. Exact travelling solution for a reactiondiffusion system with a piecewise constant production supported by a codimension1 subspace. Communications on Pure and Applied Analysis, 2022, 21 (5) : 15671580. doi: 10.3934/cpaa.2022030 
[2] 
Yuxiao Guo, Ben Niu. Bautin bifurcation in delayed reactiondiffusion systems with application to the segeljackson model. Discrete and Continuous Dynamical Systems  B, 2019, 24 (11) : 60056024. doi: 10.3934/dcdsb.2019118 
[3] 
Satoshi Kosugi, Yoshihisa Morita, Shoji Yotsutani. A complete bifurcation diagram of the GinzburgLandau equation with periodic boundary conditions. Communications on Pure and Applied Analysis, 2005, 4 (3) : 665682. doi: 10.3934/cpaa.2005.4.665 
[4] 
Rebecca McKay, Theodore Kolokolnikov, Paul Muir. Interface oscillations in reactiondiffusion systems above the Hopf bifurcation. Discrete and Continuous Dynamical Systems  B, 2012, 17 (7) : 25232543. doi: 10.3934/dcdsb.2012.17.2523 
[5] 
Chihiro Aida, ChaoNien Chen, Kousuke Kuto, Hirokazu Ninomiya. Bifurcation from infinity with applications to reactiondiffusion systems. Discrete and Continuous Dynamical Systems, 2020, 40 (6) : 30313055. doi: 10.3934/dcds.2020053 
[6] 
Bachir Bar, Tewfik Sari. The operating diagram for a model of competition in a chemostat with an external lethal inhibitor. Discrete and Continuous Dynamical Systems  B, 2020, 25 (6) : 20932120. doi: 10.3934/dcdsb.2019203 
[7] 
ShinIchiro Ei, Toshio Ishimoto. Effect of boundary conditions on the dynamics of a pulse solution for reactiondiffusion systems. Networks and Heterogeneous Media, 2013, 8 (1) : 191209. doi: 10.3934/nhm.2013.8.191 
[8] 
MengXue Chang, BangSheng Han, XiaoMing Fan. Global dynamics of the solution for a bistable reaction diffusion equation with nonlocal effect. Electronic Research Archive, 2021, 29 (5) : 30173030. doi: 10.3934/era.2021024 
[9] 
Keng Deng. On a nonlocal reactiondiffusion population model. Discrete and Continuous Dynamical Systems  B, 2008, 9 (1) : 6573. doi: 10.3934/dcdsb.2008.9.65 
[10] 
Zhiting Xu, Yingying Zhao. A reactiondiffusion model of dengue transmission. Discrete and Continuous Dynamical Systems  B, 2014, 19 (9) : 29933018. doi: 10.3934/dcdsb.2014.19.2993 
[11] 
Hakima Bessaih, Yalchin Efendiev, Razvan Florian Maris. Stochastic homogenization for a diffusionreaction model. Discrete and Continuous Dynamical Systems, 2019, 39 (9) : 54035429. doi: 10.3934/dcds.2019221 
[12] 
FengBin Wang. A periodic reactiondiffusion model with a quiescent stage. Discrete and Continuous Dynamical Systems  B, 2012, 17 (1) : 283295. doi: 10.3934/dcdsb.2012.17.283 
[13] 
Wen Tan, Chunyou Sun. Dynamics for a nonautonomous reaction diffusion model with the fractional diffusion. Discrete and Continuous Dynamical Systems, 2017, 37 (12) : 60356067. doi: 10.3934/dcds.2017260 
[14] 
Vadym Vekslerchik, Víctor M. PérezGarcía. Exact solution of the twomode model of multicomponent BoseEinstein condensates. Discrete and Continuous Dynamical Systems  B, 2003, 3 (2) : 179192. doi: 10.3934/dcdsb.2003.3.179 
[15] 
Biswajit Basu. On an exact solution of a nonlinear threedimensional model in ocean flows with equatorial undercurrent and linear variation in density. Discrete and Continuous Dynamical Systems, 2019, 39 (8) : 47834796. doi: 10.3934/dcds.2019195 
[16] 
Rui Hu, Yuan Yuan. Stability, bifurcation analysis in a neural network model with delay and diffusion. Conference Publications, 2009, 2009 (Special) : 367376. doi: 10.3934/proc.2009.2009.367 
[17] 
Qi An, Weihua Jiang. Spatiotemporal attractors generated by the TuringHopf bifurcation in a timedelayed reactiondiffusion system. Discrete and Continuous Dynamical Systems  B, 2019, 24 (2) : 487510. doi: 10.3934/dcdsb.2018183 
[18] 
Mohan Mallick, Sarath Sasi, R. Shivaji, S. Sundar. Bifurcation, uniqueness and multiplicity results for classes of reaction diffusion equations arising in ecology with nonlinear boundary conditions. Communications on Pure and Applied Analysis, 2022, 21 (2) : 705726. doi: 10.3934/cpaa.2021195 
[19] 
Rafael Labarca, Solange Aranzubia. A formula for the boundary of chaos in the lexicographical scenario and applications to the bifurcation diagram of the standard two parameter family of quadratic increasingincreasing Lorenz maps. Discrete and Continuous Dynamical Systems, 2018, 38 (4) : 17451776. doi: 10.3934/dcds.2018072 
[20] 
Takashi Kajiwara. A Heteroclinic Solution to a Variational Problem Corresponding to FitzHughNagumo type ReactionDiffusion System with Heterogeneity. Communications on Pure and Applied Analysis, 2017, 16 (6) : 21332156. doi: 10.3934/cpaa.2017106 
Impact Factor:
Tools
Metrics
Other articles
by authors
[Back to Top]