Academic Journal
AUTONOMOUS DIFFERENTIAL SYSTEM WITH CONTRASTING COMBINATIONS OF GLOBAL STABILITY PROPERTIES AND MEASURES.
| Τίτλος: | AUTONOMOUS DIFFERENTIAL SYSTEM WITH CONTRASTING COMBINATIONS OF GLOBAL STABILITY PROPERTIES AND MEASURES. |
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| Συγγραφείς: | Bondarev, Alexey1 (AUTHOR) albondarev1998@yandex.ru |
| Πηγή: | Journal of Mathematical Sciences. Aug2025, Vol. 292 Issue 2, p170-177. 8p. |
| Θεματικοί όροι: | *Autonomous differential equations, *Dynamical systems, *Nonlinear systems, *Dynamic stability, *Initial value problems |
| Περίληψη: | We construct an example of a multidimensional autonomous differential system such that all its solutions tend to zero with time. For the solutions starting in a ball centered at zero and leaving the ball at a sufficient distance with time the relative measure of the initial values becomes arbitrarily close to 1 as the ball radius tends to zero. We show that the constructed system possesses the zero linear approximation along the zero solution. Bibliography: 7 titles. Illustrations: 1 figure. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: | Academic Search Index |
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