Extreme Multistability with Hidden Attractors in a Simplest Memristor-Based Circuit

A simplest memristor-based circuit as a quasi-Hamiltonian system with extreme multistability is proposed and analyzed. There is no equilibrium in the system, but chaotic, quasi-periodic and periodi...

[1]  Leon O. Chua,et al.  Simplest Chaotic Circuit , 2010, Int. J. Bifurc. Chaos.

[2]  Leon O. Chua,et al.  Memristor Hamiltonian Circuits , 2011, Int. J. Bifurc. Chaos.

[3]  Qingdu Li,et al.  On hidden twin attractors and bifurcation in the Chua’s circuit , 2014 .

[4]  G. Leonov,et al.  Hidden attractors in dynamical systems , 2016 .

[5]  Yuxia Li,et al.  Dynamic Analysis of a Physical SBT Memristor-Based Chaotic Circuit , 2017, Int. J. Bifurc. Chaos.

[6]  Luigi Fortuna,et al.  A chaotic circuit based on Hewlett-Packard memristor. , 2012, Chaos.

[7]  L.O. Chua,et al.  Memristive devices and systems , 1976, Proceedings of the IEEE.

[8]  Guangyi Wang,et al.  Extreme multistability in a memristor-based multi-scroll hyper-chaotic system. , 2016, Chaos.

[9]  Ulrike Feudel,et al.  Complex Dynamics in multistable Systems , 2008, Int. J. Bifurc. Chaos.

[10]  Julien Clinton Sprott,et al.  Multistability in a Butterfly Flow , 2013, Int. J. Bifurc. Chaos.

[11]  Bocheng Bao,et al.  Extreme multistability in a memristive circuit , 2016 .

[12]  Zbigniew Galias,et al.  Numerical Study of Multiple Attractors in the Parallel Inductor-Capacitor-Memristor Circuit , 2017, Int. J. Bifurc. Chaos.

[13]  Yuxia Li,et al.  A New Fourth-Order Memristive Chaotic System and Its Generation , 2015, Int. J. Bifurc. Chaos.

[14]  Jia Jia,et al.  Quasi-synchronisation of fractional-order memristor-based neural networks with parameter mismatches , 2017 .

[15]  Zhigang Zeng,et al.  Synchronization of Switched Neural Networks With Communication Delays via the Event-Triggered Control , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[16]  R. E. Amritkar,et al.  Experimental observation of extreme multistability in an electronic system of two coupled Rössler oscillators. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  G. Leonov,et al.  Localization of hidden Chuaʼs attractors , 2011 .

[18]  Jacques Kengne,et al.  Dynamical analysis of a simple autonomous jerk system with multiple attractors , 2016 .

[19]  J. Yorke,et al.  The liapunov dimension of strange attractors , 1983 .

[20]  Fang Yuan,et al.  Chaos in a Meminductor-Based Circuit , 2016, Int. J. Bifurc. Chaos.

[21]  Bernabe Linares-Barranco,et al.  A Hybrid CMOS-Memristor Neuromorphic Synapse , 2017, IEEE Transactions on Biomedical Circuits and Systems.

[22]  Bocheng Bao,et al.  Dynamics of self-excited attractors and hidden attractors in generalized memristor-based Chua’s circuit , 2015 .

[23]  Leon O. Chua,et al.  Everything You Wish to Know About Memristors but Are Afraid to Ask , 2015, Handbook of Memristor Networks.

[24]  Shiping Wen,et al.  A synapse memristor model with forgetting effect , 2013 .

[25]  Guanrong Chen,et al.  Unusual dynamics and hidden attractors of the Rabinovich–Fabrikant system , 2015, 1511.07765.

[26]  Ronilson Rocha,et al.  Memristive oscillator based on Chua’s circuit: stability analysis and hidden dynamics , 2017 .

[27]  Bocheng Bao,et al.  Two-memristor-based Chua’s hyperchaotic circuit with plane equilibrium and its extreme multistability , 2017 .

[28]  Nikolay V. Kuznetsov,et al.  Hidden Attractors on One Path: Glukhovsky-Dolzhansky, Lorenz, and Rabinovich Systems , 2017, Int. J. Bifurc. Chaos.

[29]  Zhen Wang,et al.  Complex nonlinear dynamics in fractional and integer order memristor-based systems , 2016, Neurocomputing.

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

[31]  Leon O. Chua,et al.  If it’s pinched it’s a memristor , 2014 .

[32]  Said Hamdioui,et al.  Testing Open Defects in Memristor-Based Memories , 2015, IEEE Transactions on Computers.

[33]  Leon O. Chua,et al.  Dynamics of Memristor Circuits , 2014, Int. J. Bifurc. Chaos.

[34]  Nikolay V. Kuznetsov,et al.  Hidden attractor in smooth Chua systems , 2012 .

[35]  D. Stewart,et al.  The missing memristor found , 2008, Nature.

[36]  L. Chua.  Memristor-The missing circuit element , 1971 .