Geodesic
Chaos in some planar nonautonomous polynomial differential equation
Annales Polonici Mathematici, Tome 73 (2000) no. 2, pp. 159-168.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We show that under some assumptions on the function f the system $ż = z̅(f(z) e^{iϕt} + e^{i2ϕt})$ 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.
DOI : 10.4064/ap-73-2-159-168
Keywords: periodic solutions, fixed point index, Lefschetz number, chaos

Klaudiusz Wójcik 1

1 
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Klaudiusz Wójcik. Chaos in some planar nonautonomous polynomial differential equation. Annales Polonici Mathematici, Tome 73 (2000) no. 2, pp. 159-168. doi : 10.4064/ap-73-2-159-168. http://geodesic.mathdoc.fr/articles/10.4064/ap-73-2-159-168/

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