An eigenvalue condition for the injectivity and asymptotic stability at infinity
From MaRDI portal
Publication:2468834
DOI10.1007/BF02972675zbMath1220.37035WikidataQ123359684 ScholiaQ123359684MaRDI QIDQ2468834
Publication date: 11 February 2008
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Dynamics induced by flows and semiflows (37C10) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)
Related Items (4)
Global injectivity of differentiable maps via \(W\)-condition in \(\mathbb{R}^2\) ⋮ Injectivity of non-singular planar maps with disconnecting curves in the eigenvalues space ⋮ Asymptotic stability at infinity for bidimensional Hurwitz vector fields ⋮ On differentiable area-preserving maps of the plane
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global asymptotic stability for differentiable vector fields of \(\mathbb R^2\)
- Asymptotic stability at infinity for differentiable vector fields of the plane
- Injectivity of differentiable maps \(\mathbb R^2 \rightarrow \mathbb R^2\) at infinity
- Bifurcations of planar vector fields. Nilpotent singularities and Abelian integrals
- Injective endomorphisms of real algebraic sets are surjective
- A counterexample to the strong real Jacobian conjecture
- Global inversion via the Palais-Smale condition
- A polynomial counterexample to the Markus-Yamabe conjecture
- Bifurcation of planar vector fields and Hilbert's sixteenth problem
- Topology of injective endomorphisms of real algebraic sets
- Polynomial automorphisms and the Jacobian conjecture
- On local diffeomorphisms of \(\mathbb{R}^n\) that are injective
- Injectivity of local diffeomorphisms from nearly spectral conditions
- Weakened Markus--Yamabe conditions for 2-dimensional global asymptotic stability
- A solution to the bidimensional global asymptotic stability conjecture
- Hopf bifurcation at infinity for planar vector fields
- A remark on an eigenvalue condition for the global injectivity of differentiable maps of \(\mathbb R^2\)
- Global sphase-portrait of a plane autonomous system
- On the fundamental theory of ordinary differential equations
- The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
- A Mountain Pass to the Jacobian Conjecture
- Ordinary Differential Equations with Applications
- On the Injectivity of C1 Maps of the Real Plane
- A proof of the two-dimensional Markus-Yamabe Stability Conjecture and a generalization
- Asymptotic stability at infinity of planar vector fields
This page was built for publication: An eigenvalue condition for the injectivity and asymptotic stability at infinity