Abstract

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 dynamical 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.

Highlights

  • Introduction and motivationThere are two kinds of attractors observed in chaotic systems: self-excited attractor and hidden attractor

  • Introduction and motivationInvestigation of chaotic systems has a long tradition

  • It is possible to combine the fractional calculus into description of the novel chaotic systems where the hidden attractors appeared

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Summary

Introduction and motivation

There are two kinds of attractors observed in chaotic systems: self-excited attractor and hidden attractor. It is well-known that hidden attractors cannot be localized by using the standard computational procedure and it is difficult to predict the existence of them in system. It is possible to combine the fractional calculus into description of the novel chaotic systems where the hidden attractors appeared. 1, the introduction to the problem and motivation is briefly discussed. 4, the simulation results and discussion are described.

Definition of fractional-order operator
Numerical solution of fractional differential equations
Model of the new fractional-order system
Simulation results and comments
Conclusions
Full Text
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