Paper Info
Title
Extreme multi-stability in hyperjerk memristive system with hidden attractors and its adaptive synchronisation scheme.
Abstract
This paper presents a study of the phenomenon of extreme multi-stability in a novel 4D hyperjerk memristive system. The proposed system appertains to the category of dynamical systems with hidden attractors due to infinite equilibrium points. The behaviour of the system is investigated through numerical simulations, by using well-known tools of nonlinear theory, such as phase portrait, bifurcation diagram and Lyapunov exponents. Also, this work showed that the extreme multi-stability phenomenon of the behaviour of infinitely many coexisting attractors depends on the initial conditions of the variables of the system. Moreover, the case of chaos synchronisation of the system with unknown parameters, using adaptive synchronisation method, is investigated.
Year
DOI
Venue
2018
10.1504/IJSPM.2018.094737
IJSPM
Field
DocType
Volume
Statistical physics,Attractor,Memristor,Systems engineering,Bifurcation diagram,Equilibrium point,Dynamical systems theory,Adaptive control,Engineering,Phase portrait,Lyapunov exponent
Journal
13
Issue
Citations 
PageRank 
5
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Dimitrios A. Prousalis100.34
Christos K. Volos214024.93
I. N. Stouboulos3979.70
I. M. KYPRIANIDIS4958.23