• DocumentCode
    2884341
  • Title

    Decomposition scheme in continuous dissipative chaotic systems and role of strange attractors

  • Author

    Yian Ma ; Qijun Tan ; Ruoshi Yuan ; Bo Yuan ; Ping Ao

  • Author_Institution
    Dept. of Appl. Math., Univ. of Washington, Seattle, WA, USA
  • fYear
    2013
  • fDate
    24-28 June 2013
  • Firstpage
    1
  • Lastpage
    3
  • Abstract
    An energy potential function is constructed for a Lorenz-like piecewise continuous dissipative system. Using this nonincreasing potential function, the system´s dynamics is decomposed into a gradient component, accounting for energy dissipation; and a rotation component, facilitating energy conserved motion. Each part has an individual role of determining the strangeness or chaoticness of the attractor.
  • Keywords
    chaos; decomposition; piecewise linear techniques; Lorenz-like piecewise continuous dissipative system; continuous dissipative chaotic systems; decomposition scheme; energy dissipation; energy potential function; gradient component; rotation component; strange attractors; Chaos; Differential equations; Dynamics; Educational institutions; Matrix decomposition; Symmetric matrices; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Noise and Fluctuations (ICNF), 2013 22nd International Conference on
  • Conference_Location
    Montpellier
  • Print_ISBN
    978-1-4799-0668-0
  • Type

    conf

  • DOI
    10.1109/ICNF.2013.6578915
  • Filename
    6578915