CN101873210B - Reticular multi-scroll chaotic circuit and method for generating multiple scrolls - Google Patents
Reticular multi-scroll chaotic circuit and method for generating multiple scrolls Download PDFInfo
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- CN101873210B CN101873210B CN 201010180636 CN201010180636A CN101873210B CN 101873210 B CN101873210 B CN 101873210B CN 201010180636 CN201010180636 CN 201010180636 CN 201010180636 A CN201010180636 A CN 201010180636A CN 101873210 B CN101873210 B CN 101873210B
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Abstract
The invention discloses a reticular multi-scroll chaotic circuit and a method for generating multiple scrolls, which relates to a chaotic system. The chaotic circuit comprises a three-order autonomous circuit N1, a piecewise function sequencer N2 comprising symbolic functions, a triangular wave function sequencer N3 and a phase controller N4. The triangular wave function sequencer controls the chaotic circuit to generate a grid, and the piecewise function sequencer comprising the symbolic functions controls the number of scrolls at nodes of the grid. When a switch k1 is switched on and a switch k2 and a switch k3 are switched off, one scroll is formed at each node of the grid, i.e. totally four scrolls are formed; when the switch k2 is switched on and the switch k1 and the switch k3 are switched off, two scrolls are formed at each node of the grid, i.e. totally eight scrolls are formed; and when the switch k3 is switched on and the switch k1 and the switch k2 are switched off, three scrolls are formed at each node of the grid, i.e. totally twelve scrolls are formed. The invention can be widely used for secret communication.
Description
Technical field
The present invention relates to a kind of chaos circuit, be specifically related to the net-shaped multiscroll chaotic circuit in the secure communication.The invention still further relates to the using method of net-shaped multiscroll chaotic circuit.
Background technology
How to produce for the required various chaos circuits of chaotic secret communication is frontiers of nonlinear circuit and systematic science research, at present chaos circuit research has obtained a series of relevant achievements, vortex chaos signal generator, fourth-order network multi ring surface chaos circuit, many spiral chaos generators, many foldable circle face chaos circuits, three-dimensional multiple roll wave chaos circuit, generation is many around the plunging breaker chaos circuit, multi-scroll chaotic signals generating means etc.
In recent years, on the basis of research one dimension multi-scroll chaotic attractor, people have also further proposed to produce some new methods of two dimension, the four-dimensional multi-scroll chaotic attractor of three peacekeepings.
Be that the Chinese invention patent application prospectus of CN101183929A discloses a kind of many chaos circuit and implementation methods around coil of wire ripple that produce such as publication number.Can produce one dimension multi-scroll chaotic attractor.And for example publication number is that the Chinese invention patent application prospectus of CN1787429A discloses a kind of three-dimensional multiple roll wave chaos circuit.Can produce three-dimensional multi-scroll chaotic attractor.Be that the Chinese invention patent application prospectus of CN1744487A discloses a kind of fourth-order network multi ring surface chaos circuit and using method thereof such as publication number.Can produce four-dimensional multi-scroll chaotic attractor.
Can be summarized as two classes in a word, a class is that the many scrollworks of one dimension produce chaos attractor, and the scrollwork number is arranged point-blank.Another kind of is that the four-dimensional many scrollworks of two dimension, three peacekeepings produce chaos attractor, and the place presents scrollwork at grid node, and each grid node place only presents a scrollwork.
Above-mentioned two class multiscroll chaotic circuits can only produce a scrollwork at the Nodes of grid, and can not produce at the Nodes of grid a plurality of scrollworks.Therefore, be used for chaotic secure communication and also have limitation.
Summary of the invention
Technical problem to be solved by this invention is, can only produce the defective of a scrollwork at the Nodes of grid for the prior art multiscroll chaotic circuit, designed a kind of net-shaped multiscroll chaotic circuit, this circuit is variable in the scrollwork number that each Nodes of grid produces, thereby obtains net-shaped multi-scroll chaotic attractor.
The technical scheme that the present invention solves the problems of the technologies described above is, design a kind of net-shaped multiscroll chaotic circuit, this chaos circuit comprises, third-order self-governing circuit N1, piecewise function sequencer N2, the triangular wave function sequencer N3 and the phase controller N4 that are comprised of sign function.Described third-order self-governing circuit N1 consists of the first output (v of third-order self-governing circuit N1 by two summing amplifiers (OP1, OP7), three integrators (OP2, OP5, OP8) and the cascade of inverting amplifier (OP3, OP6, OP9) difference
1), and the second output (v
2) connect respectively the first input end (e) of triangular wave function sequencer N3, with the second input (d), triangular wave function sequencer N3 is made of two identical submodule Nx and submodule Ny, the output of submodule Nx (f) connects the input (h) of phase control module N4, and the output of phase controller N4 (p) connects the second input (c of third-order self-governing circuit N1
2), the output of submodule Ny (g) connects the 3rd input (c of third-order self-governing circuit N1
3); Output (the v of third-order self-governing circuit N1
3) connect the input (a) of the piecewise function sequencer N2 that is formed by sign function, the first input end (c of output (b) the connection third-order self-governing circuit N1 of the piecewise function sequencer N2 that is formed by sign function
1).
Produced the slope linearity range of triangular signal by submodule Nx and submodule Ny, wherein, determine the transform voltages value by the second amplifier in the submodule and the resistance that is connected to its inverting input, by the negative slope linearity range that is connected to resistance value between the first amplifier inverting input the second amplifier out and determines triangular signal, jointly determine triangular signal positive slope linearity range by the resistance value that is connected to the second amplifier inverting input and the resistance value that is connected between the first amplifier inverting input the second amplifier out.
Piecewise function sequencer N2 is made of a plurality of submodule N21, N22, N23 parallel connection, and each submodule output is respectively by switch k
1, k
2, k
3Be connected to the first input end (c of third-order self-governing circuit
1); Each Nodes of submodule N21 control mesh produces 1 scrollwork; Each Nodes of submodule N22 control mesh produces 2 scrollworks; Each Nodes of submodule N23 control mesh produces 3 scrollworks
The present invention also proposes a kind of method that produces the net-shaped multi-scroll chaotic signals, specifically comprise step, in the net-shaped multiscroll chaotic circuit first of the third-order self-governing circuit, the many scrollworks of the second output output net-shaped, send into respectively input e and the input d of triangular wave function sequencer N3, two submodule Nx and Ny among the triangular wave function sequencer N3 produce respectively triangular signal, signal by a single spin-echo of phase controller N4 output, send into the second input (c2) of third-order self-governing circuit N1, each Nodes of piecewise function sequencer N2 neutron module controls grid produces a plurality of scroll chaotic signals.
The present invention compared with prior art, can produce grid by triangular wave function sequencer submodule Nx and submodule Ny, the scrollwork number of each Nodes of the piecewise function sequencer control mesh that is formed by sign function, the piecewise function sequencer that sign function forms is made of a plurality of electronic circuits, connect respectively different submodules, thereby obtain different net-shaped multi-scroll chaotic signals.The scrollwork number of each Nodes is variable in the many scrollworks of net-shaped of the present invention, and the many scrollworks of general grid only have a scrollwork at Nodes, therefore, the dynamic behavior of the chaotic signal that net-shaped multiscroll chaotic circuit of the present invention produces is more complicated, abundanter, be applied to secure communication, can improve the fail safe of secure communication.
Description of drawings
Fig. 1 is net-shaped multiscroll chaotic circuit theory diagram;
Fig. 2 is net-shaped multiscroll chaotic circuit schematic diagram;
Fig. 3 is that the scrollwork that produces of grid node place is at v
1-v
2The Simulation results of phasor on the plane;
Fig. 4 is that two scrollworks that produce of grid node place are at v
1-v
2The Simulation results of phasor on the plane;
Fig. 5 is that three scrollworks that produce of grid node place are at v
1-v
2The Simulation results of phasor on the plane;
Embodiment
Below for accompanying drawing and instantiation enforcement of the present invention is specifically described.The present invention shown in Figure 1 is net-shaped multiscroll chaotic circuit signal flow graph;
This chaos circuit comprises, third-order self-governing circuit N1, piecewise function sequencer N2, triangular wave function sequencer N3 and four parts of phase controller N4 of being comprised of sign function.
The first output (v of third-order self-governing circuit N1
1) and the second output (v
2) connect respectively first input end (e) and the second input (d) of triangular wave function sequencer N3, triangular wave function sequencer N3 comprises two identical submodules, be respectively submodule Nx and submodule Ny, the output of submodule Nx (f) connects the input (h) of phase controller N4, and the output of phase controller N4 (p) connects the second input (c of third-order self-governing circuit N1
2), the output of submodule Ny (g) connects the 3rd input (c of third-order self-governing circuit N1
3); The 3rd output (v of third-order self-governing circuit N1
3) connect the input (a) of the piecewise function sequencer N2 that is formed by sign function, the first input end (c of output (b) the connection third-order self-governing circuit N1 of the piecewise function sequencer N2 that is formed by sign function
1).
Below further specify the implementation of multiscroll chaotic circuit of the present invention with a physical circuit example, the present invention shown in Figure 2 is net-shaped multiscroll chaotic circuit schematic diagram.
Operational amplifier in the circuit theory diagrams all can adopt TL082CD, its output saturation voltage value | V
Sat|=13.5 volts.Third-order self-governing circuit N1 is made of two summing amplifiers (OP1, OP7), three integrators (OP2, OP5, OP8) and the cascade of inverting amplifier (OP3, OP6, OP9) difference.Wherein, the 3rd input (c of third-order self-governing circuit N1
3) and the 3rd output (v
3) by the inverting input of resistance access summing amplifier OP1, the output of summing amplifier OP1 passes through resistance R
1Access integrator OP2 inverting input, integrator OP2 output is by the inverting input of resistance access inverting amplifier OP3, the output (v of inverting amplifier OP3
1) connect the first input end (e) of triangular wave function sequencer N3; First input end (the c of third-order self-governing circuit N1
1) pass through resistance R
2Access integrator OP5 inverting input, integrator OP5 output is by the inverting input of resistance access inverting amplifier OP6, the output (v of inverting amplifier OP6
2) connect the second input (d) of triangular wave function sequencer N3; The second input (c of third-order self-governing circuit N1
1) with the output of the inverting amplifier OP9 inverting input by resistance access summing amplifier OP7, the output of summing amplifier OP7 passes through resistance R
3Access integrator OP8 inverting input, integrator OP8 output (v
3) connect the input (a) of the piecewise function sequencer N2 that is formed by sign function, the first input end (c of third-order self-governing circuit N1
1) and the inverting input by resistance access inverting amplifier OP9, the output of inverting amplifier OP9 is by the inverting input of resistance access summing amplifier OP7.
First, second output (v of third-order self-governing circuit
1With-v
2) the many scrollworks of output net-shaped, send into respectively input e and the d of triangular wave function sequencer N3, triangular wave function sequencer N3 comprises two identical submodule Nx and Ny, each submodule can both produce triangular signal, wherein e is the input of submodule Nx, d is the input of submodule Ny, and submodule Nx or Ny are made of two amplifiers (OP11, OP12 or OP13, OP14).Wherein, determine triangular signal transform voltages value by the second amplifier in the submodule and the resistance that is connected to its inverting input, by the negative slope linearity range that is connected to resistance value between the first amplifier inverting input and the second amplifier out and determines triangular signal, jointly determine triangular wave positive slope linearity range by the resistance value that is connected to the second amplifier inverting input and the resistance value that is connected between the first amplifier inverting input and the second amplifier out.
Describe as an example of submodule Ny example, in submodule Ny, by the second amplifier OP14 and be connected to the resistance R of its inverting input
17, R
18Determine the transform voltages value, be connected to the resistance R between the first amplifier OP13 inverting input and the second amplifier OP14 output
15Produce the negative slope linearity range of triangular wave, by resistance R
15, R
17, R
18The common triangular wave positive slope linearity range that produces.
Get following value with relevant parameter and be illustrated R
14For Voltage-current conversion resistance, work as R
14=13.5K Ω.R
16Be auxiliary voltage V
EBalance resistance, R
16=1K Ω, V
E=1V.The transform voltages value is by R
17, R
18And the amplifier (OP14) that links to each other decides, and its magnitude of voltage is R
18* | V
Sat|/R
17Because | V
Sat|=13.5 volts, when 0.02 volt of transform voltages value, desirable R
17=200K Ω, R
18=300 Ω.R
17, R
18With linear resistance R
15Common triangular wave positive slope linearity range, the linear resistance R of producing
15Can produce the negative slope linearity range of triangular wave.
Phase controller N4 is an inverter, its objective is the signal inversion that makes input, so the signal of submodule Nx output, by phase controller N4, from the signal of a single spin-echo of phase controller N4 output, send into the second input (c2) of third-order self-governing circuit N1.The 3rd output (v of third-order self-governing circuit N1
3) connect the input (a) of the piecewise function sequencer N2 that is formed by sign function, the first input end (c of output (b) the connection third-order self-governing circuit N1 of piecewise function sequencer N2
1).
The piecewise function sequencer N2 that is comprised of sign function is made of a plurality of submodule N21, N22, the parallel connection of N23 input.Each submodule output is respectively by switch k
1, k
2, k
3Be connected to the first input end (c of third-order self-governing circuit
1).
Submodule N21 is by a potentiometer R
21Consist of, each Nodes of control mesh produces 1 scrollwork.Closing Switch k
1, cut-off switch k
2, k
3, regulating resistance R
21, can make each Nodes of grid produce 1 scrollwork.
Each Nodes of submodule N22 control mesh produces 2 scrollworks.Submodule N22 is by a potentiometer R
22Series connection consists of with an amplifier (OP15), and when the voltage of amplifier (OP15) inverting input was transformed to positive voltage by negative voltage, its output end voltage was by positive saturation voltage (V
Sat) be transformed to negative saturation voltage (V
Sat), vice versa.The output of submodule N22 is by switch k
2First input end (the c that connects the third-order self-governing circuit
1), Closing Switch k
2, cut-off switch k
1, k
3, regulator potentiometer R
22, can make each Nodes of grid produce 2 scrollworks.
Each Nodes of submodule N23 control mesh produces 3 scrollworks.Submodule N23 is made of two amplifiers (OP16, OP17), and negative voltage is by divider resistance R
25And R
26The normal phase input end of access amplifier OP16, positive voltage is by divider resistance R
29And R
30The normal phase input end of access amplifier OP17, amplifier OP16 are connected inverting input and are connected the 3rd input/output terminal (v of N1 with OP17
3).The output of amplifier OP16 and OP17 passes through respectively resistance R
24And R
28And the inverting input of switch k3 access amplifier OP4.When the voltage of amplifier (OP17) inverting input increases, by less than voltage R
30E
1/ (R
29+ R
30) become greater than voltage R
30E
1/ (R
29+ R
30) time, as voltage and the voltage R of amplifier (OP17) inverting input
30E
1/ (R
29+ R
30) difference when being transformed to positive voltage by negative voltage, its output end voltage is by positive saturation voltage (V
Sat) be transformed to negative saturation voltage (V
Sat), vice versa, wherein E
1=15 volts; When the voltage of amplifier (OP16) inverting input increases, by less than with voltage R
26E
2/ (R
25+ R
26) become greater than voltage R
26E
2/ (R
25+ R
26) time, as voltage and the voltage R of amplifier (OP16) inverting input
26E
2/ (R
25+ R
26) difference when being transformed to positive voltage by negative voltage, its output end voltage is by positive saturation voltage (V
Sat) be transformed to negative saturation voltage (V
Sat), vice versa, wherein E
2=-15 volts; The output of submodule N23 is by switch k
3Input (the c that connects the third-order self-governing circuit
1), Closing Switch k
3, cut-off switch k
1, k
2, regulator potentiometer R
24=R
28=450K Ω can make each Nodes of grid produce 3 scrollworks.
The method that produces scrollwork is as follows:
(1) when the first switch (k1) is connected, when the second and the 3rd switch (k2, k3) disconnects, at each Nodes of grid 1 scrollwork is arranged, altogether 4 scrollworks;
(2) when second switch (k2) is connected, when the first and second switches (k1, k3) disconnect, at each Nodes of grid 2 scrollworks are arranged, altogether 8 scrollworks;
(3) when the 3rd switch (k3) is connected, when the first and second switches (k1, k2) disconnect, at each Nodes of grid 3 scrollworks are arranged, altogether 12 scrollworks.
Fig. 3 is that the scrollwork that produces of grid node place is at v
1-v
2The Simulation results of phasor on the plane; Fig. 4 is that two scrollworks that produce of grid node place are at v
1-v
2The Simulation results of phasor on the plane; Fig. 5 is that three scrollworks that produce of grid node place are at v
1-v
2The Simulation results of phasor on the plane.Can find out that from Fig. 3, Fig. 4 and Fig. 5 the scrollwork number of each Nodes of the many scrollworks of net-shaped of the present invention is variable, and dynamic behavior is complicated, is applied to secure communication, can improve the fail safe of secure communication.
Claims (4)
1. net-shaped multiscroll chaotic circuit, it is characterized in that, this circuit comprises: third-order self-governing circuit N1, piecewise function sequencer N2, the triangular wave function sequencer N3 and the phase control module N4 that are comprised of sign function, it is characterized in that: piecewise function sequencer N2 is made of a plurality of submodule N21, N22, N23 parallel connection, and each submodule output is respectively by switch k
1, k
2, k
3Be connected to the first input end (c of third-order self-governing circuit
1), each Nodes of submodule N21 control mesh produces 1 scrollwork, and each Nodes of submodule N22 control mesh produces 2 scrollworks, and each Nodes of submodule N23 control mesh produces 3 scrollworks; The first output (v of third-order self-governing circuit
1) and the second output (v
2) connect respectively first input end (e) and the second input (d) of N3, N3 is made of two identical submodule Nx and submodule Ny, these two submodules produce respectively triangular signal, wherein, the first input end of N3 (e) is the input of submodule Nx, the second input (d) is the input of submodule Ny, and the output of submodule Nx (f) connects the input (h) of N4, and the output of N4 (p) connects the second input (c of N1
2), the signal of submodule Nx output by the signal of a single spin-echo of phase controller N4 output, is sent into the second input (c2) of third-order self-governing circuit N1, and the output of submodule Ny (g) connects the 3rd input (c of N1
3), the 3rd output (v of N1
3) connecting the input (a) of N2, the output of N2 (b) connects the first input end (c of third-order self-governing circuit N1
1).
2. net-shaped multiscroll chaotic circuit according to claim 1, it is characterized in that, produced the slope linearity range of triangular signal by submodule Nx and submodule Ny, wherein, determine the transform voltages value by the second amplifier in the submodule and the resistance that is connected to its inverting input, by the negative slope linearity range that is connected to resistance value between the first amplifier inverting input and the second amplifier out and determines triangular signal, by the resistance value that is connected to the second amplifier inverting input, and the resistance value that is connected between the first amplifier inverting input and the second amplifier out is determined triangular signal positive slope linearity range jointly.
3. a method that produces the net-shaped multi-scroll chaotic signals is characterized in that, adopts net-shaped multiscroll chaotic circuit as claimed in claim 1, Closing Switch k
1, cut-off switch k
2, k
3, make each Nodes of grid produce 1 scrollwork, common property is given birth to 4 scrollworks; Closing Switch k
2, cut-off switch k
1, k
3, make each Nodes of grid produce 2 scrollworks, common property is given birth to 8 scrollworks; Closing Switch k
3, cut-off switch k
1, k
2, make each Nodes of grid produce 3 scrollworks, common property is given birth to 12 scrollworks.
4. method according to claim 3, it is characterized in that, submodule produces the slope linearity range of triangular signal in the triangular wave function sequencer, wherein, determine triangular signal transform voltages value by the second amplifier in the submodule and the resistance that is connected to its inverting input, by the negative slope linearity range that is connected to resistance value between the first amplifier inverting input and the second amplifier out and determines triangular signal, by the resistance value that is connected to the second amplifier inverting input, and the resistance value that is connected between the first amplifier inverting input and the second amplifier out is determined triangular signal positive slope linearity range jointly.
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| CN101873210B true CN101873210B (en) | 2013-03-20 |
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Families Citing this family (10)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105281887B (en) * | 2014-06-20 | 2018-05-08 | 马英杰 | 2~14 scroll chaotics attract subsystem and circuit |
| CN104320244B (en) * | 2014-10-30 | 2017-08-25 | 重庆邮电大学 | A kind of chaos circuit and application method for producing grid multiple wing butterfly chaos attractor |
| CN104376764B (en) * | 2014-11-07 | 2016-11-23 | 山东外国语职业学院 | The double vortex type cell neural network hyperchaotic circuit in three rank |
| CN104901791B (en) * | 2015-07-02 | 2018-03-06 | 马英杰 | Grid multi-scroll chaotic system and circuit |
| CN106992849B (en) * | 2017-05-10 | 2023-04-18 | 河南应用技术职业学院 | Two-dimensional four-scroll chaotic circuit |
| CN108512646B (en) * | 2018-03-13 | 2023-10-24 | 湖北精瑞通流体控制技术有限公司 | Multi-scroll chaotic circuit system |
| CN108599921B (en) * | 2018-06-27 | 2023-11-03 | 佛山科学技术学院 | Grid multi-scroll chaotic signal generator |
| CN108683490B (en) * | 2018-07-11 | 2023-10-31 | 佛山科学技术学院 | Multi-scroll chaotic circuit |
| CN111447052B (en) * | 2020-03-25 | 2023-04-07 | 佛山科学技术学院 | Multi-scroll chaotic circuit based on triangular wave control |
| CN111314049B (en) * | 2020-04-07 | 2022-05-03 | 华东交通大学 | Multi-scroll hyperchaotic signal generator and using method thereof |
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