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Finding Periodic Solutions of High Order Duffing Equations via Newton Continuation Method

YANG Xue, XU Xu   

  1. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2007-12-21 Revised:1900-01-01 Online:2008-01-26 Published:2008-01-26
  • Contact: XU Xu

Abstract: The Newton continuation method for finding the periodic solutions of high order Duffing equations is presented, and it is proved that the improved Newton iterative formula possesses global convergence.

Key words: high order Duffing equations, periodic solutions, homotopy, Newton continuation method

CLC Number: 

  • O175.1