DYNAMIC BEHAVIOR FROM BIFURCATION EQUATIONS

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概要

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• Necessary and sufficient conditions for existence of small periodic solutions of some evolution equations can be obtained by the Liapunov-Schmidt method. In a neighborhood of zero, this gives a function (the bifurcation function) to each zero of which corresponds a periodic solution of the original equations. If this function is scalar, we show that its sign between the zeros gives the complete description of the stability properties of the periodic solutions.

• 東北大学大学院理学研究科数学専攻の論文

著者

• HALE JACK

  LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS DIVISION OF APPLIED NATHEMATICS BROWN UNIVERSITY

• OLIVEIRA JOSÉ

  LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS DIVISION OF APPLIED MATHEMATICS BROWN UNIVERSITY

関連論文

• DYNAMIC BEHAVIOR FROM BIFURCATION EQUATIONS

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