BIFURCATION BEHAVIOR OF A HAMILTONIAN SYSTEM WITH TWO DEGREES OF FREEDOM

Svetoslav Nikolov; Daniela Zaharieva

Scientific paper ID 1682 : 2018/3

BIFURCATION BEHAVIOR OF A HAMILTONIAN SYSTEM WITH TWO DEGREES OF FREEDOM

Svetoslav Nikolov, Daniela Zaharieva

The investigation of the qualitative changes in the dynamics of a system is object of bifurcation theory. In this paper we analyze the bifurcation behavior of a Hamiltonian system with two degrees of freedom describing the rider and the swing (pumped from the seated position) as a compound pendulum. Our analytical calculations predict that a Hamiltonian Hopf bifurcation (1:-1 resonance) takes place.

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бифуркационно поведение хамилтонова система две степени на свободаbifurcation behavior Hamiltonian system two degrees of freedomSvetoslav Nikolov Daniela Zaharieva

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