Numerical Verification of Algebraic Non-integrability for High Dimensional Dynamical Systems (Special Section of Letters Selected from the 1993 IEICE Spring Conference)

スポンサーリンク

概要

• 論文の詳細を見る

• The singular point analysis, such as the Pain-leve test and Yoshida's test, is a computational method and has been implemented in a symbolic computational manner. But, in applying the singular point analysis to high dimensional and / or "complex"dynamical systems, we face with some computational difficulties. To cope with these difficulties, we propose a new numerical technique of the singular point analysis with the aid of the self-validating numerics. Using this technique, the singular point analysis can now be applicable to a wide class of high dimensional and / or "complex" dynamical systems, and in many cases dynamical properties such as the algebraic nonintegrability can be proven for such systems.

• 社団法人電子情報通信学会の論文
• 1993-07-25

著者

• Tanaka Hisa-aki

  The School Of Science And Engineering Waseda University

• Okada Atsushi

  the S.I. Division, Teijin System Technology, Ltd.,

• Okada Atsushi

  The S.i. Division Teijin System Technology Ltd.

関連論文

• Numerical Verification of Algebraic Non-integrability for High Dimensional Dynamical Systems (Special Section of Letters Selected from the 1993 IEICE Spring Conference)
• Melnikov Analysis for a Second Order Phase-Locked Loop in the Presence of a Weak CW Interference (Special Section of Letters Selected from the 1994 IEICE Spring Conference)
• Analytic Structure of Phase-Locked Loops in Complex Time (Special Section on Nonlinear Theory and Its Applications)
• Nonlinear Circuit in Complex Time : Case of Phase-Locked Loops (Special Section of Letters Selected from the 1993 IEICE Fall Conference)

スポンサーリンク