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Analyzing the Chaotic Behaviour of the Harmonic Function of Henon-Heiles Potential

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POLATOĞLU, YAŞAR
Dr. Öğr. Üyesi

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Bolcal, Ertuğrul Cem

Karakuş, Cahit

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10.1007/978-3-642-33914-1_64

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In this work, the chaotic behaviour of Harmonic function of Henon-Heiles Hamiltonian system is computed and analyzed by using multi-dimensional Schwarzian derivative. Moreover, chaotic behaviour of the saddle points in Harmonic function is analyzed by adding a linear potential (bx + ay). The results show that Schwarzian derivative facilitates the computation of the chaotic behaviour of a potential function.

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978-3-642-33914-1

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