期刊信息

  • 刊名: 河北师范大学学报(自然科学版)Journal of Hebei Normal University (Natural Science)
  • 主办: 河北师范大学
  • ISSN: 1000-5854
  • CN: 13-1061/N
  • 中国科技核心期刊
  • 中国期刊方阵入选期刊
  • 中国高校优秀科技期刊
  • 华北优秀期刊
  • 河北省优秀科技期刊

图灵-霍普夫切空间2种失稳模的竞争

  • 1. 华北电力大学, 数理系, 河北, 保定, 071003
  • DOI:

Competition Between Two Instability Modes Near Codimension-two Turing-Hopf Bifurcations

摘要/Abstract

摘要:

利用电荷传输方程研究了图灵-霍普夫切空间的二维斑图动力学。研究发现,在该空间存在图灵模与霍普夫模的竞争现象。通过分析斑图的时空特性研究了竞争过程中图灵模与霍普夫模的主导作用。模拟结果表明,在切空间附近,微扰的大小也影响竞争的结果。

Abstract:

The 2D dynamics of patterns near codimension-two Turing-Hopf bifurcations are studied with charge transport equation.It is found that there exists competition between Turing mode and Hopf mode in this space.The leading effect of Turing mode and Hopf mode during competition is investigated by analyzing the spatiotemporal characteristics of patterns.Simulation shows that perturbations also affect the competition results.