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

Bolcal E., Karakus C., Polatoglu Y.

4th International Interdisciplinary Chaos Symposium on Chaos and Complex Systems, Antalya, Turkey, 29 April - 02 May 2012, pp.459-468 identifier

  • Publication Type: Conference Paper / Full Text
  • Doi Number: 10.1007/978-3-642-33914-1_64
  • City: Antalya
  • Country: Turkey
  • Page Numbers: pp.459-468
  • Istanbul Kültür University Affiliated: Yes

Abstract

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.