A polynomial class of Markus–Yamabe counterexamples and examples in ℝ3

DOI10.1080/00036811.2010.505565zbMath1218.37030OpenAlexW1983815998WikidataQ124829288 ScholiaQ124829288MaRDI QIDQ3006679

Víctor Guíñez, Álvaro Castañeda

Publication date: 20 June 2011

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2010.505565

zbMATH Keywords

attractorspolynomial vector fieldsMarkus-Yamabe counterexamples

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamics induced by flows and semiflows (37C10) Stability theory for smooth dynamical systems (37C75)

Related Items (3)

Some results about global asymptotic stability ⋮ Injectivity and almost global asymptotic stability of Hurwitz vector fields ⋮ The Markus-Yamabe conjecture does not hold for discontinuous piecewise linear differential systems separated by one straight line

Cites Work

• On the Kalman problem
• Nilpotent Jacobians in dimension three
• A polynomial counterexample to the Markus-Yamabe conjecture
• The Jacobian conjecture: Linear triangularization for homogeneous polynomial maps in dimension three

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