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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Reversible Mixed Dynamics: A Concept and Examples

Discontinuity, Nonlinearity, and Complexity 5(4) (2016) 365--374 | DOI:10.5890/DNC.2016.12.003

S.V. Gonchenko

Nizhny Novgorod State University, Nizhny Novgorod, Russia

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Abstract

We observe some recent results related to the new type of dynamical chaos, the so-called, “mixed dynamics” which can be considered as an intermediate link between “strange attractor“ and “conservative chaos”. We propose a mathematical concept of mixed dynamics for two-dimensional reversible maps and consider several examples.

Acknowledgments

The author thanks D. Turaev for very useful remarks. This work is particularly supported by RSciF-grant 14-41-00044 and RFBR-grants 16-01-00364 and 14-01-00344. Section “Examples” is carried out by RSciF-grant 14-12-00811.

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