Abstract
A theorem is proved regarding the preservation of the convergence of trajectories under small perturbations of hyperbolic mappings, possessing a strict Lyapunov function. This result is applied to some models in population genetics.
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Additional information
Translated from Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya, No. 50, pp. 82–86, 1988.
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Tyutyunikov, R.B. Preservation of the convergence of trajectories under small perturbations of hyperbolic mappings of manifolds with boundary. J Math Sci 49, 1295–1298 (1990). https://doi.org/10.1007/BF02209176
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DOI: https://doi.org/10.1007/BF02209176