One-dimensional reaction-diffusion dynamics in spatially bounded domains

被引：2
作者：
Sarnari, Francesco [1 ,2 ]
机构：
[1] Univ Pisa, Italian Natl Res Council, Phys Dept, CNR, Pisa, Italy
[2] Univ Siena, Biophys Inst, Sch Informat Engn & Math Sci, Siena, Italy
来源：
CHAOS SOLITONS & FRACTALS | 2020年 / 131卷
关键词：
FRONT PROPAGATION; PATTERN-FORMATION; TRAVELING PULSES; NEURAL-NETWORKS; MODEL; STABILITY; STATES; EXISTENCE; EQUATIONS; WAVES;
D O I：
10.1016/j.chaos.2019.109490
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the complex dynamics arising in a one-dimensional advection-reaction-diffusion system along with its bistable cubic variant. In both cases, we analyze the dynamics in a bounded domain, assuming, first, Robin, and then periodic boundaries. We study the stability of the solutions obtained and suggest eventual implications in the experimental study of chemical waves as well as in a simplified description of cardiac electric signal propagation. (C) 2019 Published by Elsevier Ltd.
引用
收藏
页数：11
相关论文
共 45 条
  • [1] Symmetry breaking via global bifurcations of modulated rotating waves in hydrodynamics
    Abshagen, J
    Lopez, JM
    Marques, F
    Pfister, G
    [J]. PHYSICAL REVIEW LETTERS, 2005, 94 (07)
  • [2] Negative Tension of Scroll Wave Filaments and Turbulence in Three-Dimensional Excitable Media and Application in Cardiac Dynamics
    Alonso, Sergio
    Baer, Markus
    Panfilov, Alexander V.
    [J]. BULLETIN OF MATHEMATICAL BIOLOGY, 2013, 75 (08) : 1351 - 1376
  • [3] Barkley D., 2008, SYMMETRY BREAKING RE
  • [4] Electrical Waves in a One-Dimensional Model of Cardiac Tissue
    Beck, Margaret
    Jones, Christopher K. R. T.
    Schaeffer, David
    Wechselberger, Martin
    [J]. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2008, 7 (04) : 1558 - 1581
  • [5] MRI of chemical reactions and processes
    Britton, Melanie M.
    [J]. PROGRESS IN NUCLEAR MAGNETIC RESONANCE SPECTROSCOPY, 2017, 101 : 51 - 70
  • [6] Busse F. H., 1998, Evolution of Spontaneous Structures in Dissipative Continuous Systems
  • [7] Cain JW, 2008, MATH MED BIOL, V25, P21, DOI 10.1093/imammb/dqn002
  • [8] Dynamics of populations with individual variation in dispersal on bounded domains
    Cantrell, Robert Stephen
    Cosner, Chris
    Yu, Xiao
    [J]. JOURNAL OF BIOLOGICAL DYNAMICS, 2018, 12 (01) : 288 - 317
  • [9] PATTERN-FORMATION OUTSIDE OF EQUILIBRIUM
    CROSS, MC
    HOHENBERG, PC
    [J]. REVIEWS OF MODERN PHYSICS, 1993, 65 (03) : 851 - 1112
  • [10] CELLULAR-AUTOMATON MODEL FOR REACTIVE SYSTEMS
    DAB, D
    LAWNICZAK, A
    BOON, JP
    KAPRAL, R
    [J]. PHYSICAL REVIEW LETTERS, 1990, 64 (20) : 2462 - 2465
12345