Premium
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
Abstract 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.