• DocumentCode
    2835094
  • Title

    Compound structures of six new chaotic attractors in a solely-single-coefficient jerk model with arctangent nonlinearity

  • Author

    Siriburanon, Teerachot ; Srisuchinwong, Banlue ; Nontapradit, Teera

  • Author_Institution
    Sch. of Inf., Comput. & Commun. Technol. (ICT), Thammasat Univ., Pathum-Thani, Thailand
  • fYear
    2010
  • fDate
    26-28 May 2010
  • Firstpage
    985
  • Lastpage
    990
  • Abstract
    Six new chaotic attractors in a solely-single-coefficient jerk model are presented with new coefficients and new arctangent nonlinearity. In addition, compound structures of such new attractors are demonstrated through the use of a half-image operation using a control parameter h. The positively appropriate value of h isolates the right half-image attractors whilst the negatively appropriate value of h isolates the left half-image attractor. Both images can then be merged together as a compound structure. Examples of bifurcation diagrams, Poincarè maps and maximum Lyapunov exponent have also been demonstrated.
  • Keywords
    Lyapunov methods; Poincare mapping; chaos; Lyapunov exponent; Poincare maps; arctangent nonlinearity; bifurcation diagrams; chaotic attractors compound structures; control parameter; half-image attractor; solely-single-coefficient jerk model; Chaos; Frequency; Hysteresis; Linear systems; Nonlinear dynamical systems; Perturbation methods; Technological innovation; Arctangent Nonlinearity; Chaos; Compound Structures; Jerk Model; Maximum Lyapunov Exponent;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control and Decision Conference (CCDC), 2010 Chinese
  • Conference_Location
    Xuzhou
  • Print_ISBN
    978-1-4244-5181-4
  • Electronic_ISBN
    978-1-4244-5182-1
  • Type

    conf

  • DOI
    10.1109/CCDC.2010.5498078
  • Filename
    5498078