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Chaos in some planar nonautonomous polynomial differential equation

100%

Wójcik K.

Annales Polonici Mathematici

2000

tom 73

nr 2

159-168

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.

Remarks on some monotonicity conditions for the period function

100%

Chouikha R., Cuvelier F.

Applicationes Mathematicae

1999

tom 26

nr 3

243-252

We are interested in the optimality of monotonicity criteria for the period function of some planar Hamiltonian systems. This study is illustrated by examples.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Applicationes Mathematicae

1 Chouikha R.

1 Cuvelier F.

1 Wójcik K.

1 2000

1 1999

Wyniki wyszukiwania

Chaos in some planar nonautonomous polynomial differential equation

Remarks on some monotonicity conditions for the period function