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Conditions for exponential stability and dichotomy of pulse linear extensions of dynamical systems on a torus

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Conditions for exponential stability and dichotomy of pulse linear extensions of dynamical systems on a torus are investigated.

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References

  1. A. M. Samoilenko, “On some problems of the theory of perturbations for smooth invariant tori of dynamical systems,” Ukr. Mat. Zh., 46, No. 12, 1665–1700 (1994).

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  2. V. I. Tkachenko, “The Green function and conditions of the existence of invariant sets of pulse systems,” Ukr. Mat. Zh., 41, No. 10, 1379–1383 (1989).

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  3. A. M. Samoilenko and N. I. Perestyuk, Differential Equations with Pulse Action [in Russian], Vyshcha Shkola, Kiev (1987).

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  4. A. M. Samoilenko, Elements of the Mathematical Theory of Multifrequency Oscillations [in Russian], Nauka, Moscow (1987).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 3, pp. 451–453, March, 1998.

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Yanchuk, S.V., Ali, N.A. Conditions for exponential stability and dichotomy of pulse linear extensions of dynamical systems on a torus. Ukr Math J 50, 514–516 (1998). https://doi.org/10.1007/BF02528818

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  • DOI: https://doi.org/10.1007/BF02528818

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