Unbounded basins of attraction of limit cycles.
Giesl, P. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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Giesl, P. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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de la Llave, R., Wayne, C.E. (2004)
Mathematical Physics Electronic Journal [electronic only]
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František Neuman (1997)
Archivum Mathematicum
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For linear differential equations of the second order in the Jacobi form O. Borvka introduced a notion of dispersion. Here we generalize this notion to certain classes of linear differential equations of arbitrary order. Connection with Abel’s functional equation is derived. Relations between asymptotic behaviour of solutions of these equations and distribution of zeros of their solutions are also investigated.
Jerry L. Kazdan (2001)
The Teaching of Mathematics
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Osvaldo Maria Grasselli, Sauro Longhi (1991)
Kybernetika
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Andrzej Dąbrowski, Zbigniew Galias, Maciej J. Ogorzałek (1994)
Kybernetika
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Juan Luis Vázquez (2003)
ESAIM: Control, Optimisation and Calculus of Variations
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We study the large-time behaviour of the nonlinear oscillator where and is a monotone real function representing nonlinear friction. We are interested in understanding the long-time effect of a nonlinear damping term, with special attention to the model case with real, . We characterize the existence and behaviour of fast orbits, i.e., orbits that stop in finite time.