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

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.