Abstract
The aim of this paper is to introduce and investigate a novel complex Lorenz system with a flux-controlled memristor, and to realize its synchronization. The system has an infinite number of stable and unstable equilibrium points, and can generate abundant dynamical behaviors with different parameters and initial conditions, such as limit cycle, torus, chaos, transient phenomena, etc., which are explored by means of time-domain waveforms, phase portraits, bifurcation diagrams, and Lyapunov exponents. Furthermore, an active controller is designed to achieve modified projective synchronization (MPS) of this system based on Lyapunov stability theory. The corresponding numerical simulations agree well with the theoretical analysis, and demonstrate that the response system is asymptotically synchronized with the drive system within a short time.
Highlights
A Memristor-Based Complex Lorenz System and Its ModifiedFaculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China
Memristor is a passive two-terminal fundamental circuit element with the characteristics of nonlinearity, non-volatility, low power consumption, etc
Motivated by the above discussions, this paper aims to construct a novel complex Lorenz system with a flux-controlled memristor, and to realize modified projective synchronization (MPS) of two identical memristor-based complex Lorenz systems
Summary
Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China. Received: 23 September 2015 / Accepted: 29 October 2015 / Published: 5 November 2015
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
