Recent new examples of hidden attractors

• Published in: The European physical journal. ST, Special topics Vol. 224; no. 8; pp. 1469 - 1476
• Main Authors: Jafari, S., Sprott, J. C., Nazarimehr, F.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01-07-2015
• Subjects: Atomic; Classical and Continuum Physics; Condensed Matter Physics; Materials Science; Measurement Science and Instrumentation; Molecular; Multistability: Uncovering Hidden Attractors; Optical and Plasma Physics; Physics; Physics and Astronomy; Review; Chaotic System; European Physical Journal Special Topic; Equilibrium Point; Lyapunov Exponent; Stable Equilibrium
• ISSN: 1951-6355; 1951-6401
• DOI: 10.1140/epjst/e2015-02472-1

Hidden attractors represent a new interesting topic in the chaos literature. These attractors have a basin of attraction that does not intersect with small neighborhoods of any equilibrium points. Oscillations in dynamical systems can be easily localized numerically if initial conditions from its open neighborhood lead to a long-time oscillation. This paper reviews several types of new rare chaotic flows with hidden attractors. These flows are divided into to three main groups: rare flows with no equilibrium, rare flows with a line of equilibrium points, and rare flows with a stable equilibrium. In addition we describe a novel system containing hidden attractors.