This paper introduces a new no-equilibrium chaotic system that is constructed by adding a tiny perturbation to a simple chaotic flow having a line equilibrium. The dynamics of the proposed system are investigated through Lyapunov exponents, bifurcation diagram, Poincaré map and period-doubling route to chaos. A circuit realization is also represented. Moreover, two other new chaotic systems without equilibria are also proposed by applying the presented methodology.
In this comment, an enhancement of issue published in the paper "Coexistence of hidden chaotic attractors in a novel no-equilibrium system" (Nonlinear Dyn, doi:10.1007/s11071-016-3170-x) is addressed. We have shown that the proposed novel autonomous chaotic system can be extended to its fractional-order version where hidden attractors as well as other dynam-ical properties of the new no-equilibrium system can be observed. A created MATLAB function for the new fractional-order no-equilibrium system is also presented .
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