Transient spectral theory, stable and unstable cones and Gershgorins theorem for finite-time differential equations

DOI10.1016/j.jde.2011.01.013zbMath1228.34083OpenAlexW2033976695MaRDI QIDQ2430954

Thai Son Doan, Stefan Siegmund, Kenneth James Palmer

Publication date: 8 April 2011

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

Full work available at URL: https://doi.org/10.1016/j.jde.2011.01.013

zbMATH Keywords

finite-time dynamics\(M\)-hyperbolicity

Mathematics Subject Classification ID

Dynamical systems with hyperbolic orbits and sets (37D05) Asymptotic properties of solutions to ordinary differential equations (34D05) Topological dynamics of nonautonomous systems (37B55) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items (7)

A unified approach to finite-time hyperbolicity which extends finite-time Lyapunov exponents ⋮ Finite-time attractivity for diagonally dominant systems with off-diagonal delays ⋮ On areas of attraction and repulsion in finite time dynamical systems and their numerical approximation ⋮ A Contour Algorithm for Computing Stable Fiber Bundles of Nonautonomous, Noninvertible Maps ⋮ A new method to prove the nonuniform dichotomy spectrum theorem in ℝⁿ ⋮ NONUNIFORM DICHOTOMY SPECTRUM INTERVALS: THEOREM AND COMPUTATION ⋮ Nonuniform dichotomy spectrum and reducibility for nonautonomous equations

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