• DocumentCode
    831549
  • Title

    An algorithm for decomposing a two-dimensional nonlinear vector field

  • Author

    Leigh, J.R. ; Ng, M.H.

  • Author_Institution
    Polytechnic of Central London, London, England
  • Volume
    25
  • Issue
    1
  • fYear
    1980
  • fDate
    2/1/1980 12:00:00 AM
  • Firstpage
    131
  • Lastpage
    132
  • Abstract
    This paper describes an algorithm for the decomposition of a second-order nonlinear differential equation into a gradient system and a conservative system. The method is restricted to polynomial-type nonlinearities. The paper broadens the class of systems that can be analyzed by the decomposition method of Evans to which references are given.
  • Keywords
    Nonlinear systems, continuous-time; Differential equations; Hydrogen; Matrix decomposition; Nonlinear equations; Nonlinear systems; Packaging; Polynomials; Stability; Symmetric matrices;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1980.1102251
  • Filename
    1102251
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=831549