CN207753729U - The voltage-controlled memristor Cai Shi chaos signal generators of five ranks - Google Patents
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Abstract
The utility model discloses a kind of voltage-controlled memristor Cai Shi chaos signal generators of five ranks, the chaos signal generator is and the nonlinear resistive element in classics cai's circuit directly to be replaced using non-ideal voltage-controlled memristor by an inductance of connecting in the coupling resistance branch of classical cai's circuit --- Cai Shi diodes are realized.Circuit includes two parts：Classical cai's circuit and non-ideal voltage-controlled memristor equivalent implementation circuit.A kind of voltage-controlled memristor Cai Shi chaos signal generators of five rank of the utility model design can generate the non-linear phenomena of the complexity such as chaos attractor, cycles limit ring by adjusting circuit element parameter, become a kind of novel chaos signal generator.The chaotic signal stability of generation is strong, has significant chaotic characteristic, larger progradation is played to development of the memristor chaos circuit in practical engineering application.
Description
Technical field
The utility model is related to chaos signal generators, more particularly to a kind of novel voltage-controlled memristor Cai Shi chaotic signals of five ranks
Generator.
Background technology
Chaology is developed rapidly in the past few decades.The important feature of chaos study has been across scientific circles
Limit, is a kind of science about process and evolution, embodies the interaction of science of mathematics and technology.It grows on trees in life mixed
Ignorant phenomenon, it is present in air, in oceanic turbulence, in the vibration of heart and brain etc..With the continuous hair of chaology
Exhibition, chaos is in bioengineering, mechanics engineering, electronic engineering, data encryption, chaos encryption, secret communication and electric power network dynamic
There is wide application prospects in the fields such as analysis.
Cai's circuit is a foolproof non-linear chaos circuit, it is with Univ California-Berkeley
The surname name of scientist Cai Shaotang of Chinese origin.Cai's circuit is mainly by an inductance, two capacitances, a linear resistance and one
Nonlinear resistance forms, simple in structure, easy physics realization.Only by the adjusting to a resistance, can be observed from circuit
The nonlinear physics phenomenon of cycles limit ring, single scrollwork and double scroll chaos, therefore cai's circuit is in chaos field
As the main object of research.On the whole, the simplicity of chaos circuit physics realization and its produced attractor topological structure
Complexity be carry out chaos circuit research two important directions.
As the 4th kind of basic circuit elements, the important breakthrough for being the discovery that classical circuit base theory of memristor, is completely new
Circuit design and application add the motive force of development.Memristor and other existing circuit elements or device be combined with each other connection, with
The form of circuit is widely used in each engineering field.Since memristor is nonlinear circuit element, it is introduced directly into
The chaotic oscillation of circuit is easily achieved after some element in circuit or replacement circuit.According to this thinking, it can build and be based on recalling
The chaotic oscillator of resistance realizes chaotic signal output.
Traditional chaos signal generator compared to the chaos signal generator realized based on memristor, the chaotic signal of generation
Topological structure complexity is low, chaotic characteristic is not notable, has certain limitation in practical engineering application.
Utility model content
Technical problem to be solved in the utility model is the characteristic according to cai's circuit involved in background technology
And the Constructed wetlands of memristor chaotic oscillator, a kind of new chaotic signal generator is provided.By in classical cai's circuit
One inductance of series connection in coupling resistance branch, and the Cai Shi bis- in classical cai's circuit is directly replaced using non-ideal voltage-controlled memristor
Pole pipe, realizes that a kind of stability is strong, the voltage-controlled memristor Cai Shi chaos signal generators of significant five rank of chaotic characteristic.
The utility model uses following technical scheme to solve above-mentioned technical problem：
The voltage-controlled memristor Cai Shi chaos signal generators of five ranks, including non-ideal voltage-controlled memristor equivalent implementation circuit, first to
Second capacitance, first resistor and the first to the second inductance；
The non-ideal voltage-controlled memristor equivalent implementation circuit anode respectively with one end of the first capacitance, first resistor one
End is connected, and cathode is grounded after being connected respectively with one end of the other end of the first capacitance, one end of the second capacitance, the second inductance；
The other end of the first resistor is connected with one end of first inductance；
The other end of first inductance is connected with the other end of the other end of second inductance, the second capacitance respectively.
As the voltage-controlled further prioritization scheme of memristor Cai Shi chaos signal generators of five rank of the utility model, the unreasonably
Think voltage-controlled memristor equivalent implementation circuit include voltage follower, integrator, current inverters, the first to the second analog multiplier,
Second to the 6th resistance, third capacitance, positive port and cathode port；
It is described anode port respectively with the electrode input end of voltage follower, the second analog multiplier an input terminal,
One end of 5th resistance, the electrode input end of current inverters are connected；
The negative input of the voltage follower respectively with the output end of voltage follower, one end phase of second resistance
Even；
The other end of the second resistance respectively with the negative input of integrator, one end of third capacitance, 3rd resistor
One end be connected；
The electrode input end of the integrator is grounded, output end respectively with two input terminals of the first analog multiplier, the
The other end of three capacitances, the other end of 3rd resistor are connected；
The output end of first analog multiplier and another input terminal of the second analog multiplier are connected；
The output end of second analog multiplier is connected with one end of the 4th resistance；
The other end of 4th resistance is connected with one end of the negative input of current inverters, the 6th resistance respectively；
The other end of 6th resistance respectively with the other end of the 5th resistance, the output end phase of current inverters
Even；
The cathode port ground connection.
The utility model has the following technical effects using above technical scheme is compared with the prior art：
The utility model is based on the voltage-controlled memristor Cai Shi chaos signal generators of five ranks that memristor is realized by adjusting circuit elements
Part parameter can generate the chaotic signal of stable topological structure complexity so that the chaos signal generator stability is strong, chaos
Characteristic significantly and easy physics realization, promotes the development of memristor chaos circuit theoretical research, and is memristor chaos circuit in reality
Application in engineering provides theoretical foundation.
Description of the drawings
Fig. 1 is the circuit diagram of the utility model；
Fig. 2 is the schematic diagram of non-ideal voltage-controlled memristor equivalent implementation circuit；
Fig. 3 (a) is the utility model chaos attractor that numerical simulation obtains under typical circuit component parameters in v0–i2
The phase rail figure projected in plane；
Fig. 3 (b) is the utility model chaos attractor that numerical simulation obtains under typical circuit component parameters in v1–v2
The phase rail figure projected in plane；
Fig. 3 (c) is the utility model chaos attractor that numerical simulation obtains under typical circuit component parameters in i1–v1
The phase rail figure projected in plane；
Fig. 3 (d) is the utility model chaos attractor that numerical simulation obtains under typical circuit component parameters in i2–v2
The phase rail figure projected in plane.
Specific implementation mode
The technical solution of the utility model is described in further detail below in conjunction with the accompanying drawings：
The utility model can be embodied in many different forms, and should not be assumed that be limited to the embodiments described herein.
On the contrary, thesing embodiments are provided so that the disclosure is thorough and complete, and this reality will be given full expression to those skilled in the art
With novel range.In the accompanying drawings, for the sake of clarity it is exaggerated component.
As shown in Figure 1, the utility model discloses a kind of voltage-controlled memristor Cai Shi chaos signal generators of five ranks, including unreasonably
Think voltage-controlled memristor equivalent implementation circuit W, capacitance C1, capacitance C2, resistance R, inductance L1With inductance L2；Wherein non-ideal voltage-controlled memristor
The positive and negative electrode of equivalent implementation circuit W respectively with capacitance C1Positive and negative electrode be connected, be denoted as 1 end and the ends 1'；One end of resistance R and institute
It states 1 end to be connected, the other end and inductance L1One end be connected；Inductance L1The other end and capacitance C2Anode be connected；Capacitance C2It is negative
Pole is connected with the ends 1'；Inductance L2Both ends respectively with capacitance C2Positive and negative electrode be connected；The ends the 1' ground connection.
As shown in Fig. 2, the non-ideal voltage-controlled memristor equivalent implementation circuit W includes voltage follower Ua, integrator Ub, electricity
Flow phase inverter Uc, analog multiplier Ma, analog multiplier Mb, resistance Ra, resistance Rb, resistance Rc, resistance Rd, resistance Re, capacitance C0、
Positive port and cathode port.Wherein resistance RaIt is connected across voltage follower UaOutput end and integrator UbNegative input
Between；Resistance RbShunt capacitance C0In integrator UbNegative input and output end between, integrator UbElectrode input end connect
Ground；Analog multiplier MaTwo input terminals and integrator UbOutput end be connected；Analog multiplier MbAn input terminal and mould
Quasi-multiplication device MaOutput end be connected, another input terminal and voltage follower UaElectrode input end be connected；Resistance RcIt is connected across
Analog multiplier MbOutput end and current inverters UcNegative input between；Current inverters UcElectrode input end and
Negative input respectively with resistance RdWith resistance ReOne end be connected, current inverters UcOutput end respectively with resistance RdAnd electricity
Hinder ReThe other end be connected.Positive port and voltage follower UaElectrode input end be connected, cathode port ground connection.
The utility model is containing there are five state variables, respectively capacitance C0Both end voltage v0, capacitance C1Both end voltage v1, electricity
Hold C2Both end voltage v2, flow through inductance L1Electric current i1, flow through inductance L2Electric current i2。
The mathematical model of non-ideal voltage-controlled memristor equivalent implementation circuit as shown in Figure 2 can be described as：
Wherein, v and i indicates the voltage and current by non-ideal voltage-controlled memristor equivalent implementation circuit input end respectively；G=
0.1, indicate analog multiplier MaWith analog multiplier MbThe toatl proportion factor.The mathematical model meets determining for a kind of broad sense memristor
Adopted formula.
The utility model circuit diagram as shown in Figure 1, utilizes Kirchoff s voltage, current law and circuit element
Constitutive relation can establish corresponding circuit state equation group：
Formula (2) circuit state equation group describes a fifth-order nonlinearity circuit, can be to new based on this equations of state
The non-linear phenomena and kinetic characteristics that the voltage-controlled memristor Cai Shi chaos signal generators of five rank of type generate carry out theory analysis and
Numerical simulation.
Numerical simulation：Using MATLAB simulation Software Platforms, numerical simulation can be carried out to the circuit described in formula (2)
Analysis.Using Runge-Kutta (ODE45) algorithm to circuit state solving equations, the phase rail figure of this circuit state variable can be obtained.
Choose typical circuit component parameters：R=100 Ω, Ra=1k Ω, Rb=10k Ω, Rc=350 Ω, Rd=2k Ω, Re=2k Ω, C0
=1nF, C1=22nF, C2=4.7nF, L1=10mH, L2The original state of five circuit state variables is respectively set in=12mH
For v0(0)=0V, v1(0)=0.0001V, v2(0)=0V, i1(0)=0A, i2(0)=0A when, the circuit produce have complexity
The chaos attractor of topological structure, corresponding MATLAB numerical simulations phase rail figure is as shown in Figure 3 in different phase planes.Its
In, Fig. 3 (a) is in v0–i2Projection in plane, Fig. 3 (b) are in v1–v2Projection in plane, Fig. 3 (c) are in i1–v1Plane
On projection, Fig. 3 (d) be in i2–v2Projection in plane.
Chaos attractor can be generated in order to further illustrate the novel voltage-controlled memristor Cai Shi chaos signal generators of five ranks,
It is respectively using five Liapunov exponents that Wolf algorithms are calculated under typical circuit component parameters：LE1=
3810.2、LE2=196.7748, LE3=-1428.6, LE4=-7161 and LE5=-56295.
The circuit phase rail figure and use Wolf algorithms in typical circuit component parameters that the above-mentioned numerical simulation of comparative analysis obtains
Under known to five Liapunov exponents being calculated：Numerical Simulation Results demonstrate the correctness of theory analysis well,
Illustrate that the voltage-controlled memristor Cai Shi chaos signal generators of novel five rank of the utility model design have the theoretical foundation of science and cut
Real feasibility, can actually generate chaotic signal, reach a kind of the first of new chaotic signal generator of utility model
Inner feelings.The chaos signal generator circuit structure is simple, easy physics realization, and the chaotic signal of generation is abundant to be stablized, and is showed significantly
Chaotic characteristic, larger progradation is played to development of the research memristor chaos circuit in engineer application.
Those skilled in the art of the present technique are it is understood that unless otherwise defined, all terms used herein (including skill
Art term and scientific terminology) there is meaning identical with the general understanding of the those of ordinary skill in the utility model fields
Justice.It should also be understood that those terms such as defined in the general dictionary should be understood that with upper with the prior art
The consistent meaning of meaning hereinafter, and unless defined as here, will not with the meaning of idealization or too formal come
It explains.
Above-described specific implementation mode, to the purpose of this utility model, technical solution and advantageous effect carried out into
One step is described in detail, it should be understood that the foregoing is merely specific embodiment of the present utility model, is not used to limit
The utility model processed, within the spirit and principle of the utility model, any modification, equivalent substitution, improvement and etc. done,
It should be included within the scope of protection of this utility model.
Claims (2)
1. the voltage-controlled memristor Cai Shi chaos signal generators of five ranks, which is characterized in that including non-ideal voltage-controlled memristor equivalent implementation electricity
Road, the first to the second capacitance, first resistor and the first to the second inductance；
The non-ideal voltage-controlled memristor equivalent implementation circuit anode respectively with one end of the first capacitance, one end phase of first resistor
Even, cathode is grounded after being connected respectively with one end of the other end of the first capacitance, one end of the second capacitance, the second inductance；
The other end of the first resistor is connected with one end of first inductance；
The other end of first inductance is connected with the other end of the other end of second inductance, the second capacitance respectively.
2. the voltage-controlled memristor Cai Shi chaos signal generators of five ranks according to claim 1, which is characterized in that described non-ideal
Voltage-controlled memristor equivalent implementation circuit includes voltage follower, integrator, current inverters, the first to the second analog multiplier,
Two to the 6th resistance, third capacitance, positive port and cathode port；
It is described anode port respectively with the electrode input end of the voltage follower, the second analog multiplier an input terminal,
One end of 5th resistance, the electrode input end of current inverters are connected；
The negative input of the voltage follower is connected with one end of the output end of voltage follower, second resistance respectively；
The other end of the second resistance respectively with the negative input of integrator, one end of third capacitance, 3rd resistor one
End is connected；
The electrode input end of the integrator is grounded, and output end is electric with two input terminals of the first analog multiplier, third respectively
The other end of appearance, the other end of 3rd resistor are connected；
The output end of first analog multiplier and another input terminal of the second analog multiplier are connected；
The output end of second analog multiplier is connected with one end of the 4th resistance；
The other end of 4th resistance is connected with one end of the negative input of current inverters, the 6th resistance respectively；
The other end of 6th resistance is connected with the output end of the other end of the 5th resistance, current inverters respectively；
The cathode port ground connection.
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