Convex cones associated to generalized cones in \(\mathbb R^N\)

DOI10.1016/J.LAA.2010.07.004zbMath1205.15050OpenAlexW2054317793MaRDI QIDQ603142

Luis Angel Sanchez

Publication date: 5 November 2010

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2010.07.004

zbMATH Keywords

stabilityperiodic orbitsconvex conespositive operatorsPerron-Frobenius theoremalternate multilinear formscones of rank \(k\)monotone autonomous systems

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Periodic orbits of vector fields and flows (37C27) Positive linear operators and order-bounded operators (47B65) Stability theory for smooth dynamical systems (37C75) Exterior algebra, Grassmann algebras (15A75)

Cites Work

• Dynamics of the modified Michaelis--Menten system
• Global asymptotic stability of the Goodwin system with repression
• A Perron theorem for the existence of invariant subspaces
• Totally positive differential systems
• Totally positive matrices
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