Discontinuity, Nonlinearity, and Complexity
Reversible Mixed Dynamics: A Concept and Examples
Discontinuity, Nonlinearity, and Complexity 5(4) (2016) 365374  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 socalled, “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 twodimensional reversible maps and consider several examples.
Acknowledgments
The author thanks D. Turaev for very useful remarks. This work is particularly supported by RSciFgrant 144100044 and RFBRgrants 160100364 and 140100344. Section “Examples” is carried out by RSciFgrant 141200811.
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