CONTINUOUSLY VARYING EXPONENTS IN REACTION-DIFFUSION SYSTEMS

被引：8
|
作者：
NEWMAN, TJ [1 ]
机构：
[1] UNIV COLOGNE,INST THEORET PHYS,D-50937 COLOGNE,GERMANY
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1995年 / 28卷 / 06期
关键词：
D O I：
10.1088/0305-4470/28/6/001
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We propose a simple reaction-diffusion model describing a class of competitive multi-species reactions. The model is exactly solvable at its upper critical dimension d(u) = 2. The local moments of the component concentrations follow a power-law decay with exponents which vary continuously with system parameters. The exponents also have an underlying multifractal spectrum. The main results are supported by results from a numerical integration of the model.
引用
收藏
页码：L183 / L190
页数：8
相关论文
共 50 条
  • [1] BIFURCATIONS AND LYAPUNOV EXPONENTS IN CHAOTIC REACTION-DIFFUSION SYSTEMS
    NAGASHIMA, H
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 1995, 84 (1-2) : 303 - 309
  • [2] Control synthesis of reaction-diffusion systems with varying parameters and varying delays
    Cao, Guoyan
    Grigoriadis, Karolos M.
    Liu, Puchen
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2021, 52 (16) : 3451 - 3465
  • [3] Solvability of reaction-diffusion model with variable exponents
    Shangerganesh, Lingeshwaran
    Balachandran, Krishnan
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2014, 37 (10) : 1436 - 1448
  • [4] REACTION-DIFFUSION COUPLED INCLUSIONS WITH VARIABLE EXPONENTS AND LARGE DIFFUSION
    Simsen, Jacson
    Simsen, Mariza Stefanello
    Wittbold, Petra
    [J]. OPUSCULA MATHEMATICA, 2021, 41 (04) : 539 - 570
  • [5] REACTION-DIFFUSION EQUATIONS WITH SPATIALLY VARIABLE EXPONENTS AND LARGE DIFFUSION
    Simsen, Jacson
    Simsen, Mariza Stefanello
    Teixeira Primo, Marcos Roberto
    [J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2016, 15 (02) : 495 - 506
  • [6] Boundary control of coupled reaction-diffusion systems with spatially-varying reaction
    Vazquez, Rafael
    Krstic, Miroslav
    [J]. IFAC PAPERSONLINE, 2016, 49 (08): : 222 - 227
  • [7] Robustness with respect to exponents for nonautonomous reaction-diffusion equations
    Samprogna, Rodrigo A.
    Simsen, Jacson
    [J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2018, (11) : 1 - 15
  • [8] Complex pattern formation in reaction-diffusion systems with spatially varying parameters
    Page, KM
    Maini, PK
    Monk, NAM
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 2005, 202 (1-2) : 95 - 115
  • [9] GLOBAL DYNAMICS OF REACTION-DIFFUSION SYSTEMS WITH A TIME-VARYING DOMAIN
    Lam, King-yeung
    Zhao, Xiao-qiang
    Zhu, Min
    [J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 2024, 84 (04) : 1742 - 1765
  • [10] Boundary Observer Design for Coupled Reaction-Diffusion Systems with Spatially-Varying Reaction
    Camacho-Solorio, Leobardo
    Vazquez, Rafael
    Krstic, Miroslav
    [J]. 2017 AMERICAN CONTROL CONFERENCE (ACC), 2017, : 3159 - 3164
12345