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Title: Numerical simulation of torus breakdown to chaos in an atmospheric-pressure dielectric barrier discharge

Understanding the routes to chaos occurring in atmospheric-pressure dielectric barrier discharge systems by changing controlling parameters is very important to predict and control the dynamical behaviors. In this paper, a route of a quasiperiodic torus to chaos via the strange nonchaotic attractor is observed in an atmospheric-pressure dielectric barrier discharge driven by triangle-wave voltage. By increasing the driving frequency, the discharge system first bifurcates to a quasiperiodic torus from a stable single periodic state, and then torus and phase-locking periodic state appear and disappear alternately. In the meantime, the torus becomes increasingly wrinkling and stretching, and gradually approaches a fractal structure with the nonpositive largest Lyapunov exponent, i.e., a strange nonchaotic attractor. After that, the discharge system enters into chaotic state. If the driving frequency is further increased, another well known route of period-doubling bifurcation to chaos is also observed.
Authors:
; ;  [1]
  1. Key Laboratory of Materials Modification by Laser, Electron, and Ion Beams, School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024 (China)
Publication Date:
OSTI Identifier:
22227902
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 20; Journal Issue: 8; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ATMOSPHERIC PRESSURE; ATTRACTORS; BIFURCATION; CHAOS THEORY; COMPUTERIZED SIMULATION; ELECTRIC DISCHARGES; ELECTRIC POTENTIAL; FRACTALS; LYAPUNOV METHOD; NONLINEAR PROBLEMS; NUMERICAL ANALYSIS; PERIODICITY; PLASMA; PLASMA SIMULATION