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Self-propelled dynamics of deformable domain in excitable reaction diffusion systems

机译:可激发反应扩散系统中可变形域的自推进动力学

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The time-evolution equations for an isolated domain in an excitable reaction-diffusion system are derived both in two and three dimensions by an interfacial approach near the drift bifurcation where a motionless state becomes unstable and a domain starts propagation at a certain velocity. The coupling between shape deformation of domain and the migration velocity is taken into consideration. When the relaxation of shape deformation is slow enough, a straight motion becomes unstable and several kinds of motion of domain appear depending on the parameters. The self-propelled domain dynamics under the external fields is also studied.
机译:可激发反应扩散系统中的隔离结构域的时间向量方程通过漂移分叉附近的界面方法来导出,其中一系列动态状态变得不稳定并且域以一定速度开始传播。 考虑了结构域的形状变形与迁移速度之间的耦合。 当形状变形的松弛足够缓慢时,直线运动变得不稳定,并且根据参数出现域的几种运动。 还研究了外部领域的自推进域动态。

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