Some remarks about the Morse index for convex Hamiltonians systems
Anna Lisa Amadori
TL;DR
This paper studies the Morse index of solutions to convex Hamiltonian systems, especially radial solutions, providing estimates and insights into their stability and profile characteristics.
Contribution
It offers new estimates for the Morse index of radial solutions in strongly coupled convex Hamiltonian systems and describes their solution profiles.
Findings
Profile description of radial solutions in strongly coupled systems
Estimate of Morse index for these solutions
Insights into stability properties of solutions
Abstract
We investigate the (linearized) Morse index of solutions to Hamiltonan systems, with a focus on convex Hamiltonians functions and sign-changing radial solutions. For strongly coupled systems, we describe the profile of the radial solutions and give an estimate of their Morse index.
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Taxonomy
TopicsQuantum chaos and dynamical systems · Control and Stability of Dynamical Systems · Graph theory and applications