Scientific paper ID 1840 : 2019/3

Svetoslav Nikolov, Vassil Zlatanov

Recently, there has been an increasing interest in high-dimensional autonomous Hamiltonian systems. In this paper, we investigate the dynamics of a Hamiltonian system with four degrees of freedom. Based on our qualitative analysis, we obtain that this system has a whole plane of unstable fixed points and therefore the occurrence of chaotic behaviour is possible.

хамилтонова система нелинейност неинтегруемост хаосHamiltonian system nonlinearity nonintegrability chaosSvetoslav Nikolov Vassil Zlatanov


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