Registered Data

[00502] The Helmholtz-Hodge decomposition of polynomial vector fields

  • Session Time & Room : 4C (Aug.24, 13:20-15:00) @G502
  • Type : Contributed Talk
  • Abstract : The Helmholtz-Hodge decomposition is a fundamental tool in the study of vector fields and has many applications. In this talk, we will focus on the case of polynomial vector fields. First, we will introduce results on the general properties and methods for finding a decomposition. As an application, we will explain the relationship between the Helmholtz-Hodge decomposition and the construction of Lyapunov functions.
  • Classification : 37B25, 31B99
  • Format : Talk at Waseda University
  • Author(s) :
    • Tomoharu Suda (RIKEN)
    • Tomoharu Suda (Keio University)