https://doi.org/10.1140/epjst/e2020-900237-2
Regular Article
Signature of chaos and multistability in a Thomas-Fermi plasma
1
Department of Mathematics, Sikkim Manipal Institute of Technology, Sikkim Manipal University, Majitar, Rangpo, East-Sikkim 737136, India
2
Department of Mathematics, Cooch Behar Panchanan Barma University, Cooch Behar, West Bengal, India
3
Institute for Mathematical Research, Universiti Putra Malaysia, Serdang, Malaysia
4
Malaysia-Italy Centre of Excellence for Mathematical Science, University Putra Malaysia, Serdang, Malaysia
a e-mail: santoban@gmail.com
Received:
27
October
2019
Received in final form:
18
December
2019
Published online:
26
March
2020
We propose a dynamical system governing from the nonlinear extension of the electrostatic ion-acoustic waves (IAWs) under the influence of external magnetic field in Thomas-Fermi (TM) consisting of hot electrons, cold electrons and mobile ions. The coupled lower dimensional model with a planar Hamiltonian exhibits periodic oscillations and conservative properties. The perturbed system with a trigonometric forcing can produce more rich phenomena in terms of quasiperiodic and chaotic patterns. The cosine excitation can also be observed as a source of multistability described by various coexisting attractors. The multistability in an external forcing TM plasma has never been reported before.
© EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature, 2020
