A Memristive Diode Bridge-Based Canonical Chua's Circuit

A novel memristor circuit is presented, which is generated from the canonical Chua’s circuit by replacing the Chua’s diode with a first order memristive diode bridge. The circuit dynamical characteristics with the variations of circuit parameters are investigated both theoretically and numerically. It can be found that the circuit has three determined equilibrium points, including a zero saddle point and two nonzero saddle-foci with index 2. Specially, the circuit is non-dissipative in the neighborhood of the zero saddle point, and there exists complex nonlinear phenomena of coexisting bifurcation modes and coexisting chaotic attractors. Experimental observations are performed to verify the numerical simulation results.

[1]  Victor Sreeram,et al.  Controlling Chaos in a Memristor Based Circuit Using a Twin-T Notch Filter , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

[2]  Shukai Duan,et al.  Memristor Model and its Application for Chaos Generation , 2012, Int. J. Bifurc. Chaos.

[3]  Leon O. Chua,et al.  Memristor oscillators , 2008, Int. J. Bifurc. Chaos.

[4]  Dongsheng Yu,et al.  Hyperchaos in a memristor-Based Modified Canonical Chua's Circuit , 2012, Int. J. Bifurc. Chaos.

[5]  包伯成,et al.  Chaotic memristive circuit: equivalent circuit realization and dynamical analysis , 2011 .

[6]  包伯成,et al.  Initial State Dependent Dynamical Behaviors in a Memristor Based Chaotic Circuit , 2010 .

[7]  Sara Dadras,et al.  Analysis of a new 3D smooth autonomous system with different wing chaotic attractors and transient chaos , 2010 .

[8]  Bharathwaj Muthuswamy,et al.  Memristor-Based Chaotic Circuits , 2009 .

[9]  X. Jianping,et al.  Initial State Dependent Dynamical Behaviors in a Memristor Based Chaotic Circuit , 2010 .

[10]  J. Willems Dissipative dynamical systems Part II: Linear systems with quadratic supply rates , 1972 .

[11]  Xiaoyuan Wang,et al.  Research on a chaotic circuit based on an active TiO 2 memristor , 2014 .

[12]  Zhong Liu,et al.  Generalized Memristor Consisting of Diode Bridge with First Order Parallel RC Filter , 2014, Int. J. Bifurc. Chaos.

[13]  Bocheng Bao,et al.  Steady periodic memristor oscillator with transient chaotic behaviours , 2010 .

[14]  J. Willems Dissipative dynamical systems part I: General theory , 1972 .

[15]  Qiang Xu,et al.  A Simple memristor Chaotic Circuit with Complex Dynamics , 2011, Int. J. Bifurc. Chaos.

[16]  Fang Yuan,et al.  Dynamical Behaviors of a TiO2Memristor Oscillator , 2013 .

[17]  Leon O. Chua,et al.  Memristor Emulator for Memristor Circuit Applications , 2012, IEEE Transactions on Circuits and Systems I: Regular Papers.

[18]  Wang Guangyi,et al.  Dynamical Behaviors of a TiO2 Memristor Oscillator , 2013 .

[19]  Fernando Corinto,et al.  Memristive diode bridge with LCR filter , 2012 .

[20]  Victor Sreeram,et al.  Implementation of an analogue model of a memristor based on a light-dependent resistor , 2012 .

[21]  Bharathwaj Muthuswamy,et al.  Implementing Memristor Based Chaotic Circuits , 2010, Int. J. Bifurc. Chaos.

[22]  Julien Clinton Sprott,et al.  Coexistence of Point, periodic and Strange attractors , 2013, Int. J. Bifurc. Chaos.