A generalized index theory for non-Hamiltonian system

DOI10.1016/j.jde.2023.05.043zbMath1523.58024arXiv2301.06900OpenAlexW4380841334MaRDI QIDQ6165620

Alessandro Portaluri, Li Wu, Ran Yang

Publication date: 6 July 2023

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.06900

zbMATH Keywords

Morse indexspectral flowreaction-diffusion equationsnon-Hamiltonian systems

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Degree theory for nonlinear operators (47H11) Degree, winding number (55M25) Index theory and related fixed-point theorems on manifolds (58J20) Spectral flows (58J30)

Cites Work

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• Spectral flow, Brouwer degree and Hill's determinant formula
• A Morse index theorem for perturbed geodesics on semi-Riemannian manifolds
• The chemical basis of morphogenesis
• Generalized Maslov Indices for Non-Hamiltonian Systems
• Brouwer Degree

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