References
Pilyugin, S.Yu., Shadowing in dynamical systems, Lecture Notes in Math., Berlin: Springer, 1999, vol. 1706.
Palmer, K., Shadowing in Dynamical Systems. Theory and Applications, Dordrecht: Kluwer, 2000.
Pilyugin, S.Yu., Theory of pseudo-orbit shadowing in dynamical systems, Differ. Equations, 2011, vol. 47, pp. 1929–1938.
Anosov, D.V., On a class of invariant sets of smooth dynamical systems, Proc. 5th Int. Conf. on Nonl. Oscill., Kiev, 1970, pp. 39–45.
Bowen, R., Equilibrium states and the ergodic theory of Anosov diffeomorphisms, Lecture Notes in Math., Berlin: Springer, 1975, vol. 470.
Pilyugin, S.Yu., The space of dynamical systems with the C 0 topology, Lecture Notes in Math., Berlin: Springer, 1994, vol. 1571.
Pilyugin, S.Yu. and Tikhomirov, S.B., Lipschitz shadowing implies structural stability, Nonlinearity, 2010, vol. 23, pp. 2509–2515.
Petrov, A. and Pilyugin, S., Nonsmooth Mappings with Lipschitz Shadowing, 2015, available at: arXiv:1510.03074 [math.DS].
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Pilyugin, S.Y., Rodionova, A.A. Lipschitz shadowing in piecewise-linear mappings. Diff Equat 52, 1732–1737 (2016). https://doi.org/10.1134/S0012266116130048
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0012266116130048