Complex centers of polynomial differential equations.

Alwash, Mohamad Ali M.

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We show that under some assumptions on the function f the system $ż = z ̅ (f (z) e^{i ϕ t} + e^{i 2 ϕ t})$ generates chaotic dynamics for sufficiently small parameter ϕ. We use the topological method based on the Lefschetz fixed point theorem and the Ważewski retract theorem.