計算ホモロジー理論と非線形力学系の解析(<小特集>力学系の位相計算理論)

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概要

• 論文の詳細を見る

• We argue that computational homology can play an important role in the analysis of complicated temporal and/or spatial behavior associated with nonlinear systems. A brief description concerning the homology of spaces and maps is provided. This is followed by examples that indicate how the homology of spaces can be used to study the evolution of complicated patterns arising from numerical simulations and physical experiments. We also indicate how in conjunction with numerical computations, homology can be used to obtain computer assisted proofs in dynamics.

• 日本応用数理学会の論文
• 2005-06-24

著者

• 中村 健一

  電気通信大学

• Mischaikow Konstantin

  Georgia Institute Of Technology

• ミシャイコフ コンスタンチン

  Georgia Institute Of Technology

• 中村 健一

  電気通信大学情報工学科

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