Global asymptotic stability for differentiable vector fields of \(\mathbb R^2\)
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Publication:703823
DOI10.1016/j.jde.2004.04.015zbMath1126.37306OpenAlexW2038166261MaRDI QIDQ703823
Publication date: 11 January 2005
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2004.04.015
Dynamics induced by flows and semiflows (37C10) Global stability of solutions to ordinary differential equations (34D23) Stability theory for smooth dynamical systems (37C75)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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- Unnamed Item
- Funnel sections
- A counterexample to the strong real Jacobian conjecture
- A polynomial counterexample to the Markus-Yamabe conjecture
- Injectivity of local diffeomorphisms from nearly spectral conditions
- Asymptotic smoothing and the global attractor of a weakly damped KdV equation on the real line.
- Global attractivity in monotone and subhomogeneous almost periodic systems
- A solution to the bidimensional global asymptotic stability conjecture
- On the fundamental theory of ordinary differential equations
- A Mountain Pass to the Jacobian Conjecture
- The discrete Markus–Yamabe problem
- Characterizing Two-Dimensional Maps Whose Jacobians Have Constant Eigenvalues
- A new proof of a theorem of Denjoy, Young, and Saks
- On the Injectivity of C1 Maps of the Real Plane
- A proof of the two-dimensional Markus-Yamabe Stability Conjecture and a generalization
- Local inversion theorems without assuming continuous differentiability
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