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This Research Note explores existence and multiplicity questions for periodic solutions of first order, non-convex Hamiltonian systems.
It introduces a new Morse (index) theory that is easier to use, less technical, and more flexible than existing theories.
It features techniques and results that, until now, have appeared only in scattered journals.
Morse Index of Solutions of Nonlinear Elliptic Equations
Perturbed Gradient Flow Trees and Ainfinity-algebra Structures in Morse Cohomology
Morse Theory Of Gradient Flows, Concavity And Complexity On Manifolds With Boundary
Index theory in nonlinear analysis
New Topological Invariants For Real- And Angle-valued Maps: An Alternative To Morse-novikov Theory
Topics in Critical Point Theory
Periodic Differential Equations in the Plane
Introduction to Hamiltonian Dynamical Systems and the N-Body Problem
Combinatorial And Toric Homotopy: Introductory Lectures
Hamiltonian Dynamical Systems
Geometrical Themes Inspired by the N-body Problem
Differential Geometry and Topology