Canard Traveling Waves in a Reaction-Diffusion Model

被引：0
|
作者：
Shchepakina, Elena [1 ]
机构：
[1] Samara Natl Res Univ, Dept Tech Cybernet, Samara, Russia
来源：
2020 VI INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY AND NANOTECHNOLOGY (IEEE ITNT-2020) | 2020年
关键词：
critical traveling waves; invariant manifold; canard; reaction-diffusion model; EQUATIONS; SYSTEM;
D O I：
10.1109/ITNT49337.2020.9253177
中图分类号：
TP7 [遥感技术];
学科分类号：
081102 ; 0816 ; 081602 ; 083002 ; 1404 ;
摘要：
The paper deals with the canard traveling waves in a reaction-diffusion model. The use of the geometric theory of invariant manifolds allows us to simplify the traveling wave problem of the original PDE system. We are focused on point-to-periodic traveling waves. It is shown that the profile of such waves is a canard. Canard traveling waves are critical waves since they separate waves with qualitatively different behaviors.
引用
收藏
页数：4
相关论文
共 50 条
  • [1] Traveling Waves for a Biological Reaction-Diffusion Model
    Wenzhang Huang
    Journal of Dynamics and Differential Equations, 2004, 16 (3) : 745 - 765
  • [2] TRAVELING WAVES FOR A REACTION-DIFFUSION MODEL WITH A CYCLIC STRUCTURE
    Zhang, Tianran
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2020, 25 (05): : 1859 - 1870
  • [3] TRAVELING WAVES OF A REACTION-DIFFUSION SIRQ EPIDEMIC MODEL WITH RELAPSE
    Zhu, Chengcheng
    Li, Wantong
    Yang, Feiying
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2017, 7 (01): : 147 - 171
  • [4] Properties of traveling waves in an impulsive reaction-diffusion model with overcompensation
    Wang, Zhenkun
    An, Qi
    Wang, Hao
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2023, 74 (03):
  • [5] Traveling waves in a coupled reaction-diffusion and difference model of hematopoiesis
    Adimy, M.
    Chekroun, A.
    Kazmierczak, B.
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 262 (07) : 4085 - 4128
  • [6] Traveling waves for a boundary reaction-diffusion equation
    Caffarelli, L.
    Mellet, A.
    Sire, Y.
    ADVANCES IN MATHEMATICS, 2012, 230 (02) : 433 - 457
  • [7] TRAVELING WAVES FOR A MODEL NON-LINEAR REACTION-DIFFUSION SYSTEM
    KALIAPPAN, P
    LAKSHMANAN, M
    PONNUSWAMY, PK
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1980, 13 (07): : L227 - L229
  • [8] Monotonicity and uniqueness of traveling waves for a reaction-diffusion model with a quiescent stage
    Zhang, Ping-An
    Li, Wan-Tong
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (05) : 2178 - 2189
  • [9] Traveling waves in a nonlocal, piecewise linear reaction-diffusion population model
    Autry, E. A.
    Bayliss, A.
    Volpert, V. A.
    NONLINEARITY, 2017, 30 (08) : 3304 - 3331
  • [10] FAST TRAVELING WAVES FOR CONVECTIVE REACTION-DIFFUSION EQUATIONS
    SCHEEL, A
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1993, 317 (04): : 347 - 351
12345