A family of models with blue sky catastrophes of different classes

Research output: Contribution to journal › Article › peer-review

Department of Applied Cybernetics

DOI

https://doi.org/10.1134/S1560354717050069
Final published version

Pavel V. Kuptsov
Sergey P. Kuznetsov
Nataliya V. Stankevich

A generalized model with bifurcations associated with blue sky catastrophes is introduced. Depending on an integer index m, different kinds of attractors arise, including those associated with quasi-periodic oscillations and with hyperbolic chaos. Verification of the hyperbolicity is provided based on statistical analysis of intersection angles of stable and unstable manifolds.

Original language	English
Pages (from-to)	551-565
Number of pages	15
Journal	Regular and Chaotic Dynamics
Volume	22
Issue number	5
DOIs	https://doi.org/10.1134/S1560354717050069
State	Published - 1 Sep 2017

Scopus subject areas

Mathematics (miscellaneous)

Research areas

blue sky catastrophe, dynamical system, hyperbolic chaos, quasi-periodic oscillations, Smale–Williams solenoid

ID: 86485620