Numerical Verification Method of Existence of Connecting Orbits for Continuous Dynamical Systems

نویسنده

  • Shin'ichi Oishi
چکیده

In this paper, a numerical method is presented for proving the existence and inclusion of connecting orbits of continuous dynamical systems described by parameterized nonlinear ordinary di erential equations. Taking a certain second order nonlinear ordinary di erential equaiton as an example, the existence of homoclinic bifurcation points is proved by the method.

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عنوان ژورنال:
  • J. UCS

دوره 4  شماره 

صفحات  -

تاریخ انتشار 1998