Coexistence of hidden chaotic attractors in a novel no-equilibrium system

Hidden attractors have received considerable interest in physics, mechanics and other dynamical areas recently. This paper introduces a novel autonomous system with hidden attractor. In particular, there exists no-equilibrium point in this system. Although the new system is simple with six terms, it...

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Bibliographic Details
Published in:	Nonlinear dynamics Vol. 87; no. 3; pp. 2001 - 2010
Main Authors:	Pham, Viet-Thanh, Volos, Christos, Jafari, Sajad, Kapitaniak, Tomasz
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Netherlands 01-02-2017 Springer Nature B.V
Subjects:	Attractors (mathematics) Automotive Engineering Chaos theory Classical Mechanics Constants Control Dynamical Systems Electronics Engineering Equilibrium Mechanical Engineering Nonlinear dynamics Nonlinearity Offsets Original Paper Vibration Chaos Hidden attractor Electronic circuit Offset variable Equilibrium
Online Access:	Get full text
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Summary:	Hidden attractors have received considerable interest in physics, mechanics and other dynamical areas recently. This paper introduces a novel autonomous system with hidden attractor. In particular, there exists no-equilibrium point in this system. Although the new system is simple with six terms, it exhibits complex behavior such as chaos and multistability. In addition, the offset boosting of a variable is achieved by adding a single controlled constant. Dynamical properties of the no-equilibrium system have been discovered by using nonlinear dynamical tools as well as an electronic implementation.
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23
ISSN:	0924-090X 1573-269X
DOI:	10.1007/s11071-016-3170-x