Research On The Physical SBT Memristor-based Chaotic Circuit And Its Multistability

Since Professor Chua predicted the existence of memristors in 1971,memristors have not attracted attention because there is no physical device as a support.However,after it was reported in Nature by HP Labs team in 2008,the memristor begin to attract widespread attention around the world because its potential applications in some areas,such as non-volatile memory,neuromorphic computing,memristor-based chaotic circuit and so on.The memristor possess the characteristic of nonlinear.So its appearance opens a new door for the design of chaotic circuits or chaotic systems.The dynamical behavior of memristor-based chaotic circuit depends on the set of circuit parameters and initial states,and then memristor-based chaotic circuits possess more dynamic behaviors.That is why memristor is very suitable for designing chaotic circuit.At present,most of the memristors used in memristor-based chaotic circuits are analog memristors,which are different from the physical memristors.The memristor used in this paper is based on the experimental data of the physical memristor,which was made by the teachers in the research group.It can better reflect the characteristics of the physical memristor.In the third chapter,the equilibrium point and stability analysis are used to analyze the physical SBT memristor-based on chaotic circuit.The dynamic behavior of the physical SBT memristor-based chaotic circuit changes with the circuit parameters and initial state value is analyzed by MATLAB numerical simulation.And it is found that the system presents complex dynamic behavior.In the fourth chapter,the equilibrium point and stability analysis are used to analyze the physical SBT memristor-based on fifth-order chaotic circuit.The dynamic behavior of the physical SBT memristor-based higher-order chaotic circuit dependence on the initial state ?(0),y(0),z(0)and w(0)is analyzed acccirding to MATLAB numerical simulation.It is found that the physical SBT memristor-based higher-order chaotic circuit presents the phenomenon of co-existence attractor when the initial state changes.Meanwhile,setting appropriate initial states and circuit parameters,the circuit system shows the phenomenon of multistability.The phenomenon of multistability play an important role in nonlinear science and actual project.The understanding of multistability can be deepened by analyzing the multistability of chaotic circuits,which has an important guiding significance for the practical application of multistability.