Mathematical Sciences: Bifurcation of Periodic and Homoclinic Orbits

考虑了两个问题。 一是关于 具负时滞方程周期解的稳定性 反馈 这些方程出现在人口等领域， 生物学、生理学和光学。 第二个问题是关于 异宿和同宿轨道的研究 反应扩散方程的行波解 这些 在研究神经冲动、火焰传播 和相变

Two problems are considered. The first concerns the stability of periodic solutions to delay equations with negative feedback. These equations arise in such fields as population biology, physiology and optics. The second problem concerns the study of heteroclinic and homoclinic orbits representing traveling wave solutions of reaction-diffusion equations. These equations arise in the study of nerve impulses, flame propagation and phase transitions