Abstract
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.
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