SHADOWING AND DYNAMICAL SYNTHESIS

Date

2009-10-01

Author

Akhmet, Marat

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We discuss a system with a discontinuity moments generator to obtain the solutions. It is proven that the system is chaotic and has shadowing property [Anosov, 1967; Bowen, 1975; Hammel et al., 1987; Robinson, 1995] if the generator possesses these characteristics. Illustrative examples are provided.

Subject Keywords

Dynamical synthesis, Impulsive systems, Hyperbolic sets, Shadowing property, Devaney's ingredients, Sensitivity, Intermittency

URI

https://hdl.handle.net/11511/38975

Journal

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

DOI

https://doi.org/10.1142/s0218127409024797

Collections

Department of Mathematics, Article

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Citation Formats

M. Akhmet, “SHADOWING AND DYNAMICAL SYNTHESIS,” INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, pp. 3339–3346, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38975.