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Finding domains of invertibility for smooth functions by means of attraction basins

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Publication:687496
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DOI10.1006/jdeq.1993.1061zbMath0778.34043OpenAlexW2009363705MaRDI QIDQ687496

Gaetano Zampieri

Publication date: 25 October 1993

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

Full work available at URL: https://doi.org/10.1006/jdeq.1993.1061

zbMATH Keywords

injectivitybasin of attractionordinary differential equationinvertibilityasymptotically stable equilibrium


Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Implicit function theorems, Jacobians, transformations with several variables (26B10)


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Global inversion of functions: An introduction, A criterion of invertibility in the large for local diffeomorphisms between Banach spaces, Local homeo- and diffeomorphisms: invertibility and convex image, Estimating invertible domains of diffeomorphisms, Two characterizations of diffeomorphisms of Euclidean space., Design of local observers for autonomous nonlinear systems not in observability canonical form, Diffeomorphisms with Banach space domains, Least-squares integration of one-dimensional codistributions with application to approximate feedback linearization, Estimates for domains of local invertibility of diffeomorphisms



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