Heteroclinic orbit existence on a type of chaotic system with delays. (English) Zbl 1221.34123
Summary: We discuss a type of chaotic system with delays. We study the equilibrium points and the existence of heteroclinic orbits of the system. A heteroclinic orbit existence theorem is proposed and proved by applying the undetermined coefficient method, which shows the complex dynamical properties of this system.
MSC:
34C28 | Complex behavior and chaotic systems of ordinary differential equations |
37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |