Lower estimates of top Lyapunov exponent for cooperative random systems of linear ODEs

DOI10.1090/S0002-9939-2014-12368-9zbMath1311.34123arXiv1305.6198OpenAlexW3099742187MaRDI QIDQ5496449

Janusz Mierczyński

Publication date: 2 February 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.6198

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Linear ordinary differential equations and systems (34A30) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Ordinary differential equations and systems with randomness (34F05) Monotone systems involving ordinary differential equations (34C12)

Related Items (3)

Estimates for principal Lyapunov exponents: a survey ⋮ Random switching between vector fields having a common zero ⋮ Randomly switched vector fields sharing a zero on a common invariant face

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Principal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. II. Finite-dimensional systems
• Persistence of structured populations in random environments
• Persistence in forward nonautonomous competitive systems of parabolic equations
• Robust uniform persistence in discrete and continuous nonautonomous systems
• Does dormancy increase fitness of bacterial populations in time-varying environments?
• Tight bounds on the spectral radius of asymmetric nonnegative matrices
• Periodic motions
• Criteria for \(C^r\) robust permanence
• Monotone random systems theory and applications
• Uniform persistence for nonautonomous and random parabolic Kolmogorov systems
• Non-negative matrices and Markov chains.
• Unstable Solutions of Nonautonomous Linear Differential Equations
• Ergodic Properties of Linear Dynamical Systems
• Robust Permanence for Ecological Differential Equations, Minimax, and Discretizations
• Spectral Theory for Forward Nonautonomous Parabolic Equations and Applications
• Lower bounds for the Perron root of a nonnegative matrix
• Kolmogorov vector fields with robustly permanent subsystems

This page was built for publication: Lower estimates of top Lyapunov exponent for cooperative random systems of linear ODEs