• DocumentCode
    1189462
  • Title

    An introduction to the Lorenz equations

  • Author

    Sparrow, Colin

  • Volume
    30
  • Issue
    8
  • fYear
    1983
  • fDate
    8/1/1983 12:00:00 AM
  • Firstpage
    533
  • Lastpage
    542
  • Abstract
    Theoretical and numerical results for the three-parameter three-dimensional family of ordinary differential equations known as the Lorenz equations are surveyed. Particular emphasis is laid on the importance of homoclinic bifurcations and their relationship to the appearance of chaotic behaviors.
  • Keywords
    Nonlinear differential equations; Nonlinear phenomena; Bifurcation; Biographies; Chaos; Differential equations; Electrical engineering; Helium; Mathematics; Nonlinear equations; Oscillators; Statistics;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/TCS.1983.1085400
  • Filename
    1085400