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On a Smale problem

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Abstract

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.

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References

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Authors and Affiliations

  1. Tula State University, Tula, Russia

    I. M. Burkin & D. V. Soboleva

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  1. I. M. Burkin
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  2. D. V. Soboleva
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Original Russian Text © I.M. Burkin, D.V. Soboleva, 2011, published in Differentsial’nye Uravneniya, 2011, Vol. 47, No. 1, pp. 3–10.

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Burkin, I.M., Soboleva, D.V. On a Smale problem. Diff Equat 47, 1–9 (2011). https://doi.org/10.1134/S0012266111010010

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  • DOI: https://doi.org/10.1134/S0012266111010010

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