CN101873210A - 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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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 netted shape multi-scroll chaotic circuit in the secure communication.The invention still further relates to the using method of netted shape multi-scroll chaotic circuit.
Background technology
How to produce and be used for the frontier that the required various chaos circuits of chaotic secret communication are nonlinear circuit and systematic science research, chaos circuit research has at present obtained a series of relevant achievements, vortex chaos signal generator, fourth-order network multi ring surface chaos circuit, many spirals chaos generator folds anchor ring chaos circuit, three-dimensional multireel ripple chaos circuit more, 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.
As publication number is that the Chinese invention patent ublic specification of application of CN101183929A discloses a kind of chaos circuit and implementation method that produces many around coil of wire ripple.Can produce one dimension multi-scroll chaotic attractor.And for example publication number is that the Chinese invention patent ublic specification of application of CN1787429A discloses a kind of three-dimensional multireel ripple chaos circuit.Can produce three-dimensional multi-scroll chaotic attractor.As publication number is that the Chinese invention patent ublic specification of application of CN1744487A discloses a kind of fourth-order network multi ring surface chaos circuit and using method thereof.Can produce four-dimensional multi-scroll chaotic attractor.
Can reduce 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 multi-scroll chaotic circuit can only produce a scrollwork at the node place of grid, and can not produce a plurality of scrollworks at the node place of grid.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 node place of grid at prior art multi-scroll chaotic circuit, designed a kind of netted shape multi-scroll chaotic circuit, this circuit is variable in the scrollwork number that each node place of grid produces, thereby obtains netted shape multi-scroll chaotic attractor.
The technical scheme that the present invention solves the problems of the technologies described above is, design a kind of netted shape multi-scroll 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 made up of sign function.Described third-order self-governing circuit N1 constitutes 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 the first input end (e) of triangular wave function sequencer N3 respectively, with 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 forms 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 forms by sign function
1).
Produce the slope linearity range of triangular signal by submodule Nx and submodule Ny, wherein, determine the breakover point magnitude of voltage by second amplifier in the submodule and the resistance that is connected its inverting input, determine the negative slope linearity range of triangular signal by being connected resistance value between the first amplifier inverting input, second amplifier out, determine triangular signal positive slope linearity range jointly by resistance value that is connected the second amplifier inverting input and the resistance value that is connected between the first amplifier inverting input, 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 the first input end (c of third-order self-governing circuit
1); Each node place of submodule N21 control mesh produces 1 scrollwork; Each node place of submodule N22 control mesh produces 2 scrollworks; Each node place of submodule N23 control mesh produces 3 scrollworks
The present invention also proposes a kind of method that produces netted shape multi-scroll chaotic signals, specifically comprise step, in the netted shape multi-scroll chaotic circuit first of the third-order self-governing circuit, second output is exported the many scrollworks of netted shape, send into input e and the input d of triangular wave function sequencer N3 respectively, two submodule Nx and Ny among the triangular wave function sequencer N3 produce triangular signal respectively, by signal that phase place is opposite of phase controller N4 output, send into second input (c2) of third-order self-governing circuit N1, each node place 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 at each node place of the piecewise function sequencer control mesh of forming by sign function, the piecewise function sequencer that sign function is formed is made of a plurality of electronic circuits, connect different submodules respectively, thereby obtain different netted shape multi-scroll chaotic signals.The scrollwork number at each node place is variable in the many scrollworks of netted shape of the present invention, and the many scrollworks of general grid have only a scrollwork at the node place, therefore, the dynamic behavior of the chaotic signal that netted shape multi-scroll 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 netted shape multi-scroll chaotic schematic block circuit diagram;
Fig. 2 is netted shape multi-scroll chaotic circuit theory diagrams;
The scrollwork that Fig. 3 produces for the grid node place is at v
1-v
2The circuit simulation result of phasor on the plane;
Two scrollworks that Fig. 4 produces for the grid node place are at v
1-v
2The circuit simulation result of phasor on the plane;
Three scrollworks that Fig. 5 produces for the grid node place are at v
1-v
2The circuit simulation result of phasor on the plane;
Embodiment
Below at accompanying drawing and instantiation enforcement of the present invention is specifically described.The present invention shown in Figure 1 is netted shape multi-scroll chaotic circuit signal flow chart;
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 made up of sign function.
First output (the v of third-order self-governing circuit N1
1) and the second output (v
2) connect first input end (e) and second input (d) of triangular wave function sequencer N3 respectively, 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 forms 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 forms by sign function
1).
Below further specify the implementation of multi-scroll chaotic circuit of the present invention with a physical circuit example, the present invention shown in Figure 2 is netted shape multi-scroll chaotic circuit theory diagrams.
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
1Insert 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
2Insert 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 second input (d) of triangular wave function sequencer N3; Second input (the c of third-order self-governing circuit N1
1) inserting the inverting input of summing amplifier OP7 with the output of inverting amplifier OP9 by resistance, the output of summing amplifier OP7 passes through resistance R
3Insert integrator OP8 inverting input, integrator OP8 output (v
3) connect the input (a) of the piecewise function sequencer N2 that forms by sign function, the first input end (c of third-order self-governing circuit N1
1) and insert the inverting input of inverting amplifier OP9 by resistance, the output of inverting amplifier OP9 inserts the inverting input of summing amplifier OP7 by resistance.
First, second output (v of third-order self-governing circuit
1With-v
2) the many scrollworks of the netted shape of output, send into input e and the d of triangular wave function sequencer N3 respectively, 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 breakover point magnitude of voltage by second amplifier in the submodule and the resistance that is connected its inverting input, determine the negative slope linearity range of triangular signal by being connected resistance value between the first amplifier inverting input and second amplifier out, determine triangular wave positive slope linearity range jointly by resistance value that is connected the second amplifier inverting input and the resistance value that is connected between the first amplifier inverting input and second amplifier out.
With submodule Ny is that example describes, in submodule Ny, by the second amplifier OP14 and be connected the resistance R of its inverting input
17, R
18Determine the breakover point magnitude of voltage, be connected 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 the voltage-to-current transfer resistance, work as R
14=13.5K Ω.R
16Be auxiliary voltage V
EBalance resistance, R
16=1K Ω, V
E=1V.The breakover point magnitude of voltage 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 breakover point magnitude of voltage, 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 signal that phase place is opposite of phase controller N4 output, send into 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 forms 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 made up 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 the first input end (c of third-order self-governing circuit
1).
Submodule N21 is by a potentiometer R
21Constitute, each node place of control mesh produces 1 scrollwork.Closing Switch k
1, cut-off switch k
2, k
3, regulate resistance R
21, can make each node place of grid produce 1 scrollwork.
Each node place of submodule N22 control mesh produces 2 scrollworks.Submodule N22 is by a potentiometer R
22Series connection constitutes 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 node place of grid produce 2 scrollworks.
Each node place 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
26Insert the normal phase input end of amplifier OP16, positive voltage is by divider resistance R
29And R
30Insert the normal phase input end of amplifier OP17, the inverting input of amplifier OP16 and OP17 is connected the 3rd input/output terminal (v of N1
3).The output of amplifier OP16 and OP17 passes through resistance R respectively
24And R
28And switch k3 inserts the inverting input of 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 the 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 the 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 node place of grid produce 3 scrollworks.
The method that produces scrollwork is as follows:
(1) when first switch (k1) is connected, when the second and the 3rd switch (k2, k3) disconnects, at each node place of grid 1 scrollwork is arranged, altogether 4 scrollworks;
(2) when second switch (k2) is connected, when first and second switches (k1, k3) disconnect, at each node place of grid 2 scrollworks are arranged, altogether 8 scrollworks;
(3) when the 3rd switch (k3) is connected, when first and second switches (k1, k2) disconnect, at each node place of grid 3 scrollworks are arranged, altogether 12 scrollworks.
The scrollwork that Fig. 3 produces for the grid node place is at v
1-v
2The circuit simulation result of phasor on the plane; Two scrollworks that Fig. 4 produces for the grid node place are at v
1-v
2The circuit simulation result of phasor on the plane; Three scrollworks that Fig. 5 produces for the grid node place are at v
1-v
2The circuit simulation result of phasor on the plane.From Fig. 3, Fig. 4 and Fig. 5 as can be seen, the scrollwork number at each node place of the many scrollworks of netted shape of the present invention is variable, and the dynamic behavior complexity, is applied to secure communication, can improve the fail safe of secure communication.
Claims (6)
1. netted shape multi-scroll chaotic circuit, it is characterized in that, this circuit comprises: third-order self-governing circuit N1, by piecewise function sequencer N2, triangular wave function sequencer N3 and phase control module N4 that sign function is formed is characterized in that: the first output (v of third-order self-governing circuit
1) and the second output (v
2) connecting first input end (e) and second input (d) of N3 respectively, N3 is made of two identical submodule Nx and 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 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. netted shape multi-scroll chaotic circuit according to claim 1, it is characterized in that, produce the slope linearity range of triangular signal by submodule Nx and submodule Ny, wherein, determine the breakover point magnitude of voltage by second amplifier in the submodule and the resistance that is connected its inverting input, determine the negative slope linearity range of triangular signal by being connected resistance value between the first amplifier inverting input, second amplifier out, by the resistance value that is connected the second amplifier inverting input, and the resistance value that is connected between the first amplifier inverting input, second amplifier out is determined triangular signal positive slope linearity range jointly.
3. netted shape multi-scroll chaotic circuit according to claim 1 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 the first input end (c of third-order self-governing circuit
1); Each node place of submodule N21 control mesh produces 1 scrollwork; Each node place of submodule N22 control mesh produces 2 scrollworks; Each node place of submodule N23 control mesh produces 3 scrollworks.
4. method that produces netted shape multi-scroll chaotic signals, it is characterized in that, in the netted shape multi-scroll chaotic circuit first of the third-order self-governing circuit, second output is exported the many scrollworks of netted shape, send into input e and the input d of triangular wave function sequencer N3 respectively, two submodule Nx and Ny among the triangular wave function sequencer N3 produce triangular signal respectively, by signal that phase place is opposite of phase controller N4 output, send into second input (c2) of third-order self-governing circuit N1, each node place of piecewise function sequencer N2 neutron module controls grid produces a plurality of scroll chaotic signals.
5. method according to claim 4, it is characterized in that, submodule produces the slope linearity range of triangular signal in the triangular wave function sequencer, wherein, determine triangular signal breakover point magnitude of voltage by second amplifier in the submodule and the resistance that is connected its inverting input, determine the negative slope linearity range of triangular signal by being connected resistance value between the first amplifier inverting input and second amplifier out, by the resistance value that is connected the second amplifier inverting input, and the resistance value that is connected between the first amplifier inverting input and second amplifier out is determined triangular signal positive slope linearity range jointly.
6. method according to claim 4 is characterized in that, submodule N21, N22, the parallel connection of N23 input among the piecewise function sequencer N2, and each submodule output is respectively by switch k
1, k
2, k
3Be connected the first input end (c of third-order self-governing circuit
1); When switch k1 connects, when disconnecting, switch k2, k3 produce 4 scrollworks; When switch k2 connects, when switch k1, k3 disconnect, produce 8 scrollworks; When k3 connects, when switch k1, k2 disconnect, produce 12 scrollworks.
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| CN104320244A (en) * | 2014-10-30 | 2015-01-28 | 重庆邮电大学 | Chaotic circuit for generating grid multi-wing butterfly chaotic attractors and use method |
| CN104376764A (en) * | 2014-11-07 | 2015-02-25 | 山东外国语职业学院 | Three-order double-vortex type cell neural network hyper-chaotic circuit |
| CN104901791A (en) * | 2015-07-02 | 2015-09-09 | 马英杰 | Grid multi-scroll chaotic system and circuit |
| CN105281887A (en) * | 2014-06-20 | 2016-01-27 | 马英杰 | 2-14 scroll chaotic attractor system and circuit |
| CN106992849A (en) * | 2017-05-10 | 2017-07-28 | 河南应用技术职业学院 | A kind of two-dimentional four scroll chaotic circuit |
| CN108512646A (en) * | 2018-03-13 | 2018-09-07 | 湖北精瑞通流体控制技术有限公司 | A kind of multiscroll chaotic circuit system |
| CN108599921A (en) * | 2018-06-27 | 2018-09-28 | 佛山科学技术学院 | A kind of grid multi-scroll chaotic signals generator |
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| CN111447052A (en) * | 2020-03-25 | 2020-07-24 | 佛山科学技术学院 | Multi-scroll chaotic circuit based on triangular wave control |
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| 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 |
| CN104320244A (en) * | 2014-10-30 | 2015-01-28 | 重庆邮电大学 | Chaotic circuit for generating grid multi-wing butterfly chaotic attractors and use method |
| CN104376764A (en) * | 2014-11-07 | 2015-02-25 | 山东外国语职业学院 | Three-order double-vortex type cell neural network hyper-chaotic circuit |
| CN104901791A (en) * | 2015-07-02 | 2015-09-09 | 马英杰 | Grid multi-scroll chaotic system and circuit |
| 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 |
| CN106992849A (en) * | 2017-05-10 | 2017-07-28 | 河南应用技术职业学院 | A kind of two-dimentional four scroll chaotic circuit |
| CN108512646A (en) * | 2018-03-13 | 2018-09-07 | 湖北精瑞通流体控制技术有限公司 | A kind of multiscroll chaotic circuit system |
| 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 |
| CN108599921A (en) * | 2018-06-27 | 2018-09-28 | 佛山科学技术学院 | A kind of grid multi-scroll chaotic signals generator |
| CN108599921B (en) * | 2018-06-27 | 2023-11-03 | 佛山科学技术学院 | Grid multi-scroll chaotic signal generator |
| CN108683490A (en) * | 2018-07-11 | 2018-10-19 | 佛山科学技术学院 | A kind of multiscroll chaotic circuit |
| CN108683490B (en) * | 2018-07-11 | 2023-10-31 | 佛山科学技术学院 | Multi-scroll chaotic circuit |
| CN111447052A (en) * | 2020-03-25 | 2020-07-24 | 佛山科学技术学院 | Multi-scroll chaotic circuit based on triangular wave control |
| 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 |
| CN111314049A (en) * | 2020-04-07 | 2020-06-19 | 华东交通大学 | Multi-scroll hyperchaotic signal generator and using method thereof |
| 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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