On invariant hypersurfaces of strongly monotone maps

DOI10.1006/jdeq.1997.3269zbMath0889.58013OpenAlexW1997212417MaRDI QIDQ1361426

Michel Benaïm

Publication date: 22 June 1998

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

Full work available at URL: https://doi.org/10.1006/jdeq.1997.3269

zbMATH Keywords

attractor\(C^{k,r}\)-diffeomorphismBirkhoff's contraction coefficient

Mathematics Subject Classification ID

Ergodic theory (37A99) Stability theory for smooth dynamical systems (37C75) Differentiable maps on manifolds (58C25)

Related Items (8)

Convex geometry of the carrying simplex for the May-Leonard map ⋮ On Allee effects in structured populations ⋮ The property of convex carrying simplices for competitive maps ⋮ Limit cycles for competitor-competitor-mutualist Lotka-Volterra systems ⋮ On existence and uniqueness of the carrying simplex for competitive dynamical systems ⋮ Carrying simplices in nonautonomous and random competitive Kolmogorov systems ⋮ TheC¹property of convex carrying simplices for three-dimensional competitive maps ⋮ Smoothness of the carrying simplex for discrete-time competitive dynamical systems: A characterization of neat embedding

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• Systems of Differential Equations that are Competitive or Cooperative II: Convergence Almost Everywhere
• Systems of differential equations which are competitive or cooperative: III. Competing species
• Controlling nonuniqueness of local invariant manifolds.
• Invariant manifolds

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