Regular Article – Nonlinear Dynamics
Chaos–order–chaos-type transition in hydrogen molecular ion placed in external magnetic field
Department of Physics, H H The Rajah’s College (Autonomous) (Affiliated to Bharathidasan University, Tiruchirappalli-620024, India), 622001, Pudukkottai, Tamilnadu, India
Accepted: 3 July 2021
Published online: 16 July 2021
The occurrence of Hamiltonian chaos in the system of hydrogen molecular ion placed in external magnetic field has been investigated by using electronic trajectory plot, Poincare surface of section and maximal Lyapunov exponent. Our analysis reveals that the underlying dynamics of this system is very much sensitive to the magnetic field. The numerical calculations show that the regular dynamics in the field free case begins to deviate, with the addition of the external magnetic field, and shows chaotic character for certain field strengths. Moreover, a gradual increase in the strength of the magnetic field makes the system to posses chaos–order–chaos type of regions. When the magnetic field is very large, we have observed that the entire phase space has been occupied by chaotic trajectories.
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2021