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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
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