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Start Over Author "El Khadir, Bachir" Topic asymptotic theory of system theory
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1. A globally asymptotically stable polynomial vector field with rational coefficients and no local polynomial Lyapunov function.

Author

Ahmadi, Amir Ali and El Khadir, Bachir

Subjects
*POLYNOMIALS, *VECTOR fields, *LYAPUNOV functions, *NONLINEAR dynamical systems, *ASYMPTOTIC theory of system theory
Abstract

Abstract We give an explicit example of a two-dimensional polynomial vector field of degree seven that has rational coefficients, is globally asymptotically stable, but does not admit an analytic Lyapunov function even locally. [ABSTRACT FROM AUTHOR]

Published
2018
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