Research On Inductor-free Memristive Chaotic System And Its Circuit Design

The memristor is a nonlinear component with natural memory,which has many characteristics such as low power consumption,nanometer size,high speed and nonvolatility.Due to the nonlinearity and memory properties of the memristor,the circuit with memristors can generate chaos easily.The appearance of memristor makes the design of chaotic circuit more flexible.The utilization of memristor in the design of chaotic circuit can reduce its physical size.Memristive chaotic circuit is more prone to generate chaotic signals with higher complexity than general chaotic circuit,and it will be more suitable for the scenes that need to use chaos.The existence of inductor in chaotic circuit makes the robustness of the circuit poor and occupies a large amount of physical space,which makes the integration of the circuit difficult to implement.The main work of this thesis is to research the application of memristor in the field of chaotic circuit's design through theory,numerical and circuit simulation analysis.The key point is to study memristive chaotic circuit which does not contain inductor and has a simple circuit structure.The main research results and innovations are as follows:(1)In order to explore simple memristive chaotic circuit that contains as few components as possible and without inductor,a smooth cubic voltage-controlled memristor and a smooth cubic flux-controlled memristor model are applied to a sinusoidal oscillation circuit with five circuit components.An inductor-free memristive circuit with six components is constructed.The circuit has three line equilibria sets and presents rich dynamic behaviors with the change of circuit parameters and initial values.It also occurs complex behaviors of coexisting infinitely multiple attractors and transient transition.The Multisim simulations of the circuit confirm the correctness of the theoretical analyses and numerical simulations.(2)Generating more complex attractors such as multi-scroll or multi-wing chaotic attractors to reinforce chaos and further simplify the memristive chaotic circuit,a memristive chaotic circuit with only five circuit components is successfully constructed by using two different memristor models,two inductors and a current feedback operational amplifier.It can generate multi-scroll and multi-wing attractors.The circuit owns a finite number of equilibrium points.The number of scrolls and the number of wings can be switched with the change of single one circuit parameter.The system can make any conversion among two-wing,four-wing,six-wing and eight-wing through changing single one initial condition.The circuit has complex phenomena such as multistability and transient transition behavior.The simulations of the Multisim software and the results of circuit experiment are consistent well with the numerical simulations,which verifies the correctness and feasibility of the circuit.