Abstract

Chaotic systems without equilibrium points represent an almost unexplored field of research, since they can have neither homoclinic nor heteroclinic orbits and the Shilnikov method cannot be used to demonstrate the presence of chaos. In this paper a new fractional-order chaotic system with no equilibrium points is presented. The proposed system can be considered “elegant” in the sense given by Sprott, since the corresponding system equations contain very few terms and the system parameters have a minimum of digits. When the system order is as low as 2.94, the dynamic behavior is analyzed using the predictor–corrector algorithm and the presence of chaos in the absence of equilibria is validated by applying three different methods. Finally, an example of observer-based synchronization applied to the proposed chaotic fractional-order system is illustrated.

Autore Pugliese

• Cafagna Donato , Grassi Giuseppe

Tutti gli autori

• D. Cafagna , G. Grassi

Titolo volume/Rivista

COMMUNICATIONS IN NONLINEAR SCIENCE & NUMERICAL SIMULATION

Anno di pubblicazione

2014

ISSN

1007-5704

ISBN

Non Disponibile

Numero di citazioni Wos

21

Ultimo Aggiornamento Citazioni

28/04/2018

Numero di citazioni Scopus

26

Ultimo Aggiornamento Citazioni

28/04/2018

Settori ERC

Non Disponibile

Codici ASJC

Non Disponibile