論文

査読有り 筆頭著者
2020年10月28日

Complete transition diagrams of generic Hamiltonian flows with a few heteroclinic orbits

Discrete Mathematics, Algorithms and Applications
  • Tetsuo Yokoyama
  • ,
  • Tomoo Yokoyama

開始ページ
2150023
終了ページ
2150023
記述言語
掲載種別
研究論文(学術雑誌)
DOI
10.1142/s1793830921500233
出版者・発行元
World Scientific Pub Co Pte Lt

We study the transition graph of generic Hamiltonian surface flows, whose vertices are the topological equivalence classes of generic Hamiltonian surface flows and whose edges are the generic transitions. Using the transition graph, we can describe time evaluations of generic Hamiltonian surface flows (e.g., fluid phenomena) as walks on the graph. We propose a method for constructing the complete transition graph of all generic Hamiltonian flows. In fact, we construct two complete transition graphs of Hamiltonian surface flows having three and four genus elements. Moreover, we demonstrate that a lower bound on the transition distance between two Hamiltonian surface flows with any number of genus elements can be calculated by solving an integer programming problem using vector representations of Hamiltonian surface flows.

リンク情報
DOI
https://doi.org/10.1142/s1793830921500233
URL
https://www.worldscientific.com/doi/pdf/10.1142/S1793830921500233
ID情報
  • DOI : 10.1142/s1793830921500233
  • ISSN : 1793-8309
  • eISSN : 1793-8317

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