Dynamics of maps with nilpotent Jacobians

DOI10.1080/10236190500267970zbMath1085.37020OpenAlexW1999856067MaRDI QIDQ3377948

Marc Chamberland

Publication date: 29 March 2006

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190500267970

zbMATH Keywords

fixed pointglobal attractivitycyclesglobal asymptotic stabilityJacobian conjectureJacobian eigenvaluesself-intersecting invariant manifolds

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Low-dimensional dynamical systems (37E99) Stability theory for smooth dynamical systems (37C75)

Related Items (5)

An eigenvalue condition and the equivalence of two-dimensional maps ⋮ Local stability implies global stability for the planar Ricker competition model ⋮ Global dynamics of triangular maps ⋮ A FAMILY OF COMPLETELY PERIODIC QUADRATIC DISCRETE DYNAMICAL SYSTEM ⋮ THE DYNAMICS OF NQ-SYSTEMS IN THE PLANE

Cites Work

• Recurrences and discrete dynamic systems
• A polynomial counterexample to the Markus-Yamabe conjecture
• The Dynamics of Planar Quadratic Maps with Nonempty Bounded Critical Set
• The discrete Markus–Yamabe problem

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