skip to main content

SciTech ConnectSciTech Connect

Title: Instability saturation by the oscillating two-stream instability in a weakly relativistic plasma

The two-stream instability has wide range of astrophysical applications starting from gamma-ray bursts and pulsar glitches to cosmology. We consider one dimensional weakly relativistic Zakharov equations and describe nonlinear saturation of the oscillating two-stream instability using a three dimensional dynamical system resulting form a truncation of the nonlinear Schrodinger equation to three modes. The equilibrium points of the model are determined and their stability natures are discussed. Using the tools of nonlinear dynamics such as the bifurcation diagram, Poincaré maps, and Lyapunav exponents, existence of periodic, quasi-periodic, and chaotic solutions are established in the dynamical system. Interestingly, we observe the multistable behavior in this plasma model. The system has multiple attractors depending on the initial conditions. We also notice that the relativistic parameter plays the role of control parameter in the model. The theoretical results presented in this paper may be helpful for better understanding of space and astrophysical plasmas.
Authors:
;  [1] ;  [2]
  1. Department of Applied Mathematics, University of Calcutta, 92, Acharya Prafulla Chandra Road, Kolkata 700 009 (India)
  2. Department of Mathematics, West Bengal State University, Barasat, Kolkata 700126 (India)
Publication Date:
OSTI Identifier:
22408307
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 4; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ASTROPHYSICS; ATTRACTORS; BIFURCATION; COSMIC GAMMA BURSTS; COSMOLOGY; LYAPUNOV METHOD; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; ONE-DIMENSIONAL CALCULATIONS; PULSARS; RELATIVISTIC PLASMA; RELATIVISTIC RANGE; SCHROEDINGER EQUATION; THREE-DIMENSIONAL CALCULATIONS; TWO-STREAM INSTABILITY