A simple two-component reaction-diffusion system showing rich dynamic behavior: spatially homogeneous aspects and selected bifurcation scenarios

Hayase Y; Descalzi O; Brand HR

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A simple two-component reaction-diffusion system showing rich dynamic behavior: spatially homogeneous aspects and selected bifurcation scenarios

机译：一个简单的两组分反应扩散系统，显示出丰富的动态行为：空间均匀的方面和选定的分叉方案

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We present a simple reaction-diffusion model for two variables. The model was originally designed to have a stable localized solution for a range of parameters as a consequence of the coexistence of a stable limit cycle and a stable fixed point. We classify the spatially homogeneous solutions of the model. In addition we describe several bifurcation scenarios for particle-like solutions as a function of two of the parameters. (c) 2005 Elsevier B.V. All rights reserved.

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《Physica, A. Statistical mechanics and its applications》 |2005年第1期|共6页
作者
Hayase Y; Descalzi O; Brand HR;
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正文语种 eng
中图分类理论物理学;
关键词
reaction-diffusion systems; limit cycles; localized solutions; particle solutions; WAVES;

机译：反应扩散系统;极限环;局部溶液;颗粒溶液;WAVES;

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1. A simple two-component reaction-diffusion system showing rich dynamic behavior: spatially homogeneous aspects and selected bifurcation scenarios [J] . Hayase Y, Descalzi O, Brand HR Physica, A. Statistical mechanics and its applications . 2005,第1期

机译：一个简单的两组分反应扩散系统，显示出丰富的动态行为：空间均匀的方面和选定的分叉方案
2. Dynamical behavior and bifurcation analysis of a homogeneous reactiona??diffusion Atkinson system [J] . Xuguang Yang, Wei Wang, Yanyou Chai, Boundary value problems . 2018,第1期

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3. GLOBAL ANALYSIS OF PATTERN SELECTION AND BIFURCATIONS IN MONOSTABLE REACTION-DIFFUSION SYSTEMS [J] . Izus G., Borzi C., Wio HS., Physica, A. Statistical mechanics and its applications . 1997,第1a2期

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4. Asymptotic behavior of nonlinear non-autonomous mechanical systems with two-component homogeneous potential forces [C] . Fadeev Sergey S. 2014 International Conference on Computer Technologies in Physical and Engineering Applications . 2014

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5. Bifurcations in a reaction-diffusion system with reversible flow in the time independent system. [D] . Yan, Gea-Gue. 1988

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6. Bifurcation and Pattern Symmetry Selection in Reaction-Diffusion Systems with Kinetic Anisotropy [O] . Yipeng Gao, Yongfeng Zhang, Daniel Schwen, -1

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7. Spatial static bifurcation of 2-D discrete dynamical systems and its control}{Spatial static bifurcation of 2-D discrete dynamical systems and its control [O] . Quan HAI, Shutang LIU 2016

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A simple two-component reaction-diffusion system showing rich dynamic behavior: spatially homogeneous aspects and selected bifurcation scenarios

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