On a Smale problem
| Autor: | D. V. Soboleva, I. M. Burkin |
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| Rok vydání: | 2011 |
| Předmět: | |
| Zdroj: | Differential Equations. 47:1-9 |
| ISSN: | 1608-3083 0012-2661 |
| DOI: | 10.1134/s0012266111010010 |
| Popis: | We derive conditions under which a linear coupling between two globally stable nonlinear nth-order systems results in a system of order 2n whose almost every solution asymptotically approaches an orbitally stable cycle. These results permit one to solve a problem posed by Smale and pertaining to the theory of chemical kinetics of biological cells. |
| Databáze: | OpenAIRE |
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