Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations | Zendy

Conley Charles | Zendy; Zehnder Eduard | Zendy

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Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations

Author(s) -

Conley Charles,

Zehnder Eduard

Publication year - 1984

Publication title -

communications on pure and applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.12

H-Index - 115

eISSN - 1097-0312

pISSN - 0010-3640

DOI - 10.1002/cpa.3160370204

Subject(s) - mathematics , morse code , morse theory , hamiltonian (control theory) , hamiltonian system , type (biology) , mathematical analysis , index (typography) , mathematical physics , mathematical optimization , world wide web , computer science , ecology , electrical engineering , biology , engineering

An index theory for flows is presented which extends the classical Morse theory for gradient flows on compact manifolds. The theory is used to prove a Morse‐type existence statement for periodic solutions of a time‐dependent (periodic in time) and asymptotically linear Hamiltonian equation.

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