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, Türkiye, 29 Nisan - 02 Mayıs 2012, ss.459-468 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Doi Numarası: 10.1007/978-3-642-33914-1_64
  • Basıldığı Şehir: Antalya
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.459-468
  • İstanbul Kültür Üniversitesi Adresli: Evet

Özet

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.