CN108964871B - Three-channel safe communication method based on double-Chen chaotic system and terminal sliding mode - Google Patents

Three-channel safe communication method based on double-Chen chaotic system and terminal sliding mode Download PDF

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CN108964871B
CN108964871B CN201810739835.7A CN201810739835A CN108964871B CN 108964871 B CN108964871 B CN 108964871B CN 201810739835 A CN201810739835 A CN 201810739835A CN 108964871 B CN108964871 B CN 108964871B
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chaotic system
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CN108964871A (en
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王新宇
孙卫明
王中训
雷军委
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Yantai University
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    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
    • H04L9/001—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols using chaotic signals

Abstract

The invention discloses a three-channel safe communication method based on a double-Chen chaotic system and a terminal sliding mode, which is characterized in that two Chen chaotic systems with almost similar structures are respectively used as a sending end and a receiving end, three-channel information to be transmitted is used as a key generated by chaotic system signals at the sending end, simplified equivalent control is firstly designed at the receiving end, then a terminal sliding mode synchronous control law is introduced to realize synchronization of the two Chen chaotic systems, decryption recovery of the three-channel information is realized by designing a three-channel nonlinear decryption strategy based on an exponential function, and finally an encryption communication task of encryption and decryption of the three-channel information based on the double-Chen chaotic system is completed.

Description

Three-channel safe communication method based on double-Chen chaotic system and terminal sliding mode
Technical Field
The invention belongs to the field of communication, and particularly relates to a safe communication technology for three-channel information decryption based on an exponential function, wherein a Chen chaos system is used as a transmitting end and a receiving end of secret communication, a terminal sliding mode is used for synchronization, and the exponential function is adopted.
Background
Since the introduction of the Chen chaos system, the Chen chaos system has been widely used in various fields because of its simple structure and good stochastic properties. The invention considers that the state amplitude is larger, can play a good signal covering role, and is very suitable for being applied to secret communication. At present, in secret communication based on chaotic synchronization, most of the methods adopt an offset balancing method to design an equivalent control item, and the invention greatly simplifies the design of the equivalent control item under the condition of not influencing the stability of the equivalent control item. At present, the scheme of encryption communication by using a chaotic system is mostly carried out on the basis of a single channel, but the invention provides a three-channel safe communication method, designs a novel terminal sliding mode synchronization strategy and a nonlinear decryption strategy based on an exponential function, and can greatly accelerate the information decryption speed and improve the information recovery effect.
Disclosure of Invention
The invention aims to provide a three-channel safe communication method based on a double-Chen chaotic system and a terminal sliding mode, which is characterized in that two Chen chaotic systems are respectively used as a sending end and a receiving end, three-channel information to be transmitted is used as a key for generating chaotic system signals at the sending end, a new equivalent control rule is firstly designed at the receiving end, a synchronous control law of the terminal sliding mode is introduced, the synchronization of the two Chen chaotic systems is realized, then a three-channel nonlinear decryption strategy based on an exponential function is designed, the decryption and recovery of the three-channel information are realized, and finally, an encryption communication task of encryption and decryption of the three-channel information based on the double-Chen chaotic system is completed.
The invention is realized in this way, a three-channel encryption communication method based on a double-Chen chaotic system and a terminal sliding mode comprises the following steps:
the method comprises the following steps: construction of transmitting terminal Chen chaos system
The Chen chaos system is constructed at a transmitting end as follows:
Figure BDA0001722954770000021
Figure BDA0001722954770000022
Figure BDA0001722954770000023
wherein z isai(i is 1,2,3) are three states of the transmitting-end chaotic system, and
Figure BDA0001722954770000024
the derivatives of the three states of the sending end chaotic system, the initial state value z of the sending end chaotic systemai(0) (i ═ 1,2,3) is determined according to specific implementation cases;
preferably, after the construction of the sending end chaotic system is completed, by observing the output state of the sending end chaotic system, if an irregular chaotic signal cannot appear, the sending end chaotic system is indicated to be abnormal and cannot pass the test, and the sending end chaotic system is reconstructed after the parameter setting is checked until the test is passed;
step two: information encryption and modulation
Three channels of information s to be sent1(t)、s2(t)、s3(t) adding three channels of the sending end chaotic system to carry out chaotic modulation, wherein at the moment, the sending end chaotic system:
Figure BDA0001722954770000025
Figure BDA0001722954770000026
Figure BDA0001722954770000027
then, the chaotic system state z obtained after three-channel information modulation is obtaineda1、za2And za3Sending the data from the sending end to the receiving end;
step three: receiving end Chen chaos system structure
The Chen chaos system is constructed at the receiving end as follows:
Figure BDA0001722954770000028
Figure BDA0001722954770000029
Figure BDA00017229547700000210
wherein z isbi(i is 1,2,3) is three states of the receiving end chaotic system,
Figure BDA00017229547700000211
is the receiving end chaotic systemThe derivatives of the three states of (a) are,
respectively superposing u on the receiving end chaotic system1、u2、u3And
Figure BDA0001722954770000031
at this time, the receiving end chaotic system is as follows:
Figure BDA0001722954770000032
Figure BDA0001722954770000033
Figure BDA0001722954770000034
wherein u is1、u2And u3Is an input signal of a receiving end chaotic system u1、u2And u3Subsequently, a terminal sliding mode control method is adopted for design, so that the state of the receiving end chaotic system can be rapidly converged to the state of the transmitting end chaotic system,
Figure BDA0001722954770000035
sending information s separately for the sender1(t)、s2(t)、s3The decryption recovery value of (t) adopts a nonlinear recovery rule based on a logarithmic function to ensure that the information recovery has good fidelity;
this step receives the initial state value z of Chen chaos systembi(0) (i-1, 2,3) and information decryption recovery value
Figure BDA0001722954770000036
The selection of the specific implementation case is determined;
step four: design of equivalent control law
According to Chen's chaos of the sending endSignal zai(i is 1,2,3) and a signal z of a receiving end Chen chaos systembi( i 1,2,3) constructing an error signal ei＝zai-zbi(i ═ 1,2,3), the equivalent control law is constructed as follows:
u1a＝35e2
u2a＝28e2
u3a＝zb1e2
wherein u is1a、u2aAnd u3aIs an equivalent control strategy;
step five: synchronous control rule structure based on terminal sliding mode
Designing a new terminal sliding mode synchronous control rule on the basis of the equivalent control law in the step four,
ui＝-uia-uib(i＝1,2,3)
wherein u isiaIn accordance with the definition of step four, uiIs the input signal of the receiving end chaotic system u1b、u2bAnd u3bFor the terminal sliding mode control strategy, it needs to be explained that the receiving end chaotic system input signal uiComprises the following two parts u1a、u2aAnd u3aAs an equivalent control part, u1b、u2bAnd u3bIs a terminal sliding mode control part; under the condition of any initial state value, the state of the receiving end chaotic system can always approach to the state of the receiving end chaotic system in a finite time, namely zbi→zai(i＝1,2,3)；
And the number of the first and second electrodes,
Figure BDA0001722954770000041
wherein the content of the first and second substances,
Figure BDA0001722954770000042
kn1i、kn2i、kn3i、kn4i、kn5iis positive increaseThe value of the method is determined by specific implementation cases,
kifor time-varying gain, the initial value is a positive value, and the adjusting steps are as follows:
Figure BDA0001722954770000043
wherein p isi、qiIs a positive odd number, epsilonaiIs a positive number, the value of which is determined by the specific implementation case,
parameter kia＞0，ki(0) Is kiInitial value of (a), kiaAnd k isi(0) The value of (a) is also determined by the specific implementation case,
step six: three-channel information nonlinear recovery strategy design based on logarithmic function
A three-channel information nonlinear recovery strategy based on a logarithmic function is provided, and information recovery decryption is carried out according to the following formula:
Figure BDA0001722954770000051
Figure BDA0001722954770000052
Figure BDA0001722954770000053
wherein k is41、k42、k43、k51、k52、k53、k61、k62、k63、εb1、εb2、εb3The positive parameter, the value of which is also determined by the specific implementation case,
then, decrypt to obtain
Figure BDA0001722954770000054
And obtained
Figure BDA0001722954770000055
Approaching to transmitting information s1(t)、s2(t)、s3(t)。
Through the six steps, the three-channel safe communication method based on the double-Chen chaotic system and the terminal sliding mode is realized.
It is worth noting that the design of the above equivalent control part is much simpler than other conventional design methods, such as the following control method:
u1a＝-35(e2-e1)
u2a＝7e1-28e2-za1za3+zb1zb3
u3a＝3e3+zb1zb2+za1za2。
the three-channel safe communication method based on the double-Chen chaotic system and the terminal sliding mode has the following four advantages: one is that for a three-dimensional Chen's chaotic system, chaotic signals are superposed on each dimension, and communication efficiency is improved through simultaneous communication of three channels; secondly, a three-channel nonlinear recovery strategy based on a logarithmic function is provided, so that the accuracy of information decryption recovery is improved; thirdly, aiming at the double-Chen chaotic system, the design of equivalent control in the synchronization process is simplified, and meanwhile, the stability of the synchronization system is not influenced; and fourthly, a nonlinear terminal sliding mode synchronization rule is designed, so that the synchronization speed of the receiving terminal Chen chaos system and the transmitting terminal Chen chaos system can be increased, the information decryption time is shortened, and the information recovery precision is improved. And fifthly, a mode of modulating the state of the chaotic system by information to be transmitted is adopted, and even if all signals of a transmitting end are intercepted, useful information signals are difficult to crack and obtained, so that the communication safety is improved.
Drawings
FIG. 1 is a design flow chart of a three-channel secure communication method based on a double-Chen chaotic system and a terminal sliding mode provided by the invention;
FIG. 2 is a time-varying curve of three states of a transmitting-end Chen chaos system according to an embodiment of the present invention;
FIG. 3 shows a first Chen chaos system state z of the method according to the embodiment of the present inventiona1And information s1(t) a comparison graph;
FIG. 4 shows a second Chen chaotic system state z according to an embodiment of the present inventiona2And information s2(t) a comparison graph;
FIG. 5 shows a third Chen chaotic system state z according to the method of the present inventiona3And information s3(t) a comparison graph;
FIG. 6 is a control gain adaptive adjustment curve of the method provided by the embodiment of the present invention;
fig. 7 is a diagram comparing three channels of information with the recovered information after decryption according to the method of the embodiment of the present invention.
Detailed Description
Examples
A three-channel encryption communication method based on a double-Chen chaotic system and a terminal sliding mode is proved by simulation and simulation through a computer, and comprises the following steps:
the method comprises the following steps: construction of transmitting terminal Chen chaos system
The Chen chaos system is constructed at the transmitting end and is described as follows:
Figure BDA0001722954770000071
Figure BDA0001722954770000072
Figure BDA0001722954770000073
wherein z isai(i is 1,2,3) are three states of the transmitting-end chaotic system, and
Figure BDA0001722954770000074
is the derivative of the three states of the sending-end chaotic system,
setting the initial state of the Chen chaotic system of a sending end as za1(0)＝10.25，za2(0)＝-5.3，za3(0) After the test is successful, the state free motion curve of the chaotic system is shown in figure 2, wherein z isa2And za3Almost coincide;
step two: information encryption and modulation
Three channels of information s to be sent1(t)、s2(t)、s3(t) adding three channels of the system to carry out chaotic modulation, wherein the sending end chaotic system comprises:
Figure BDA0001722954770000075
Figure BDA0001722954770000076
Figure BDA0001722954770000077
s1(t)＝0.1*sign(sin5t)，s2(t)＝0.2*sign(sin5t)，s1(t) ═ 0.3 sig (sin5t), where t represents time and sign () represents a sign function, defined as follows:
Figure BDA0001722954770000078
then, the chaotic system state z obtained after three-channel information modulation is obtaineda1、za2And za3Is sent from the sending end to the receiving end,
at the moment, the sending end only sends the state information of the chaotic system, and the state information of the chaotic system is relatively large and needs to be sent with useful informationSmall in size, and the first chaotic system state za1And information s1(t) A comparison is shown in FIG. 3, where the chaotic signal z is large in amplitude fluctuationa1Hidden therein is an information signal s1(t); second chaotic system state za2And information s2(t) A comparison is shown in FIG. 4, where the chaotic signal z is large in amplitude fluctuationa2Hidden therein is an information signal s2(t); third chaotic system state za3And information s3(t) A comparison of the graph shown in FIG. 5 shows that the chaotic signal z has large amplitude fluctuationa3Hidden therein is an information signal s3(t), it can be seen that the status information z is transmitteda1、za2And za3Intercepted by the enemy and difficult to crack useful information s1(t)、s2(t) and s3(t)；
Step three: receiving end Chen chaos system structure
The construction of the Chen chaos system at the receiving end is as follows:
Figure BDA0001722954770000081
Figure BDA0001722954770000082
Figure BDA0001722954770000083
wherein z isbi(i is 1,2,3) is three states of the receiving end chaotic system,
Figure BDA0001722954770000084
is the derivative of three states of the receiving end chaotic system,
in this example, z is setb1(0)＝0.7、zb2(0)＝0.4、zb3(0)＝0.8，
Respectively superposing u on the Chen chaos system1、u2、u3And
Figure BDA0001722954770000085
at this time, the receiving end chaotic system is as follows:
Figure BDA0001722954770000086
Figure BDA0001722954770000087
Figure BDA0001722954770000088
Figure BDA0001722954770000089
sending information s separately for the sender1(t)、s2(t)、s3(t) a decrypted recovery value of (t),
Figure BDA00017229547700000810
Figure BDA00017229547700000811
it should be noted that the setting of the initial value does not affect the effect of the secure communication, and can be selected arbitrarily;
step four: design of equivalent control law
According to the Chen's chaotic signal z of the sending endai(i is 1,2,3) and a signal z of a receiving end Chen chaos systembi( i 1,2,3) constructing an error signal ei＝zai-zbi(i ═ 1,2,3), the equivalent control law is constructed as follows:
u1a＝35e2
u2a＝28e2
u3b＝zb1e2
wherein u is1a、u2aAnd u3aIs an equivalent control strategy;
step five: synchronous control rule structure based on terminal sliding mode
On the basis of the equivalent control law in the step four, a new terminal sliding mode synchronous control law is designed, and the specific design is as follows:
ui＝-uia-uib(i＝1,2,3)
wherein u isiaDefinition of step four is consistent, uiIs the input signal of the receiving end chaotic system u1b、u2bAnd u3bFor the terminal sliding mode control strategy, it needs to be explained that the receiving end chaotic system input signal uiComprises the following two parts u1a、u2aAnd u3aAs an equivalent control part, u1b、u2bAnd u3bIs a terminal sliding mode control part; under the condition of any initial state value, the state of the receiving end chaotic system can always approach to the state of the receiving end chaotic system in a finite time, namely zbi→zai(i＝1,2,3)；
Figure BDA0001722954770000091
SaiIs defined as
Figure BDA0001722954770000092
kn1i、kn2i、kn3i、kn4i、kn5iIs a positive gain, kiFor time-varying gain, the initial value is a positive value, and the adjusting steps are as follows:
Figure BDA0001722954770000101
wherein p isi、qiIs a positive odd number, epsilonaiIs a positive number, parameter kia＞0，ki(0) Is kiIs set to the initial value of (a),
setting a control gain parameter:
kn11＝55、kn21＝5、kn31＝1、kn41＝0.2、kn51＝0.1
kn12＝60、kn22＝5、kn32＝1、kn42＝0.2、kn52＝0.08
kn1i＝70、kn2i＝5、kn3i＝1、kn4i＝0.3、kn5i＝0.09
secondly, odd constants of terminal sliding modes are set, and p is selected at the momenti＞qi(i＝1,2,3)，
p1＝5、q1＝3、εa1＝0.5，
p2＝5、q2＝3、εa2＝0.5，
p3＝5、q3＝3、εa3＝0.5
Finally, the gain factor is set as follows:
k1a＝0.2，k1(0)＝0.1；k2a＝0.2，k2(0)＝0.1；k3a＝0.2，k3(0)＝0.1；
the control gain automatic adjustment curve is shown in figure 6,
step six: three-channel information nonlinear recovery strategy design based on logarithmic function
And recovering and decrypting the information according to the following formula:
Figure BDA0001722954770000111
Figure BDA0001722954770000112
Figure BDA0001722954770000113
wherein k is41、k42、k43、k51、k52、k53、k61、k62、k63、εb1、εb2、εb3For positive parameters, the control parameters are set as follows:
k41＝250、k42＝1550、k43＝350、k51＝500、k52＝500、k53＝400、k61＝25、k62＝20、k63＝30、εb1＝0.2、εb2＝0.2、εb3＝0.5，
then, decrypt the obtained
Figure BDA0001722954770000114
Approaching to transmitting information s1(t)、s2(t)、s3(t), the obtained three-channel decryption information is shown in fig. 7, and the standard square wave in fig. 7 is the original sending information s1,s2,s3The other light-colored curve recovers information for decryption
Figure BDA0001722954770000115
Compared with the original information, the decryption information is consistent with the original signal in most of time except that the initial section of each step signal has a burr error, the transmission condition of the digital signals 0 and 1 is not influenced by the burrs, and the burr error elimination work can be completed by judging and setting the high-low level threshold value. Therefore, the whole three-channel encryption communication method is safe and reliable and is completely feasible.

Claims (2)

1. A three-channel safe communication method based on a double-Chen chaotic system and a terminal sliding mode is characterized by comprising the following steps:
the method comprises the following steps: construction of transmitting terminal Chen chaos system
The Chen chaos system is constructed at a transmitting end as follows:
Figure FDA0002815018200000011
Figure FDA0002815018200000012
Figure FDA0002815018200000013
wherein z isaiI is 1,2,3 are three states of the sending end chaotic system, and
Figure FDA0002815018200000014
is the derivative of the three states of the sending-end chaotic system,
setting an initial state value z of the transmitting end chaotic systemai(0)，i＝1,2,3；
Step two: information encryption and modulation
Three channels of information s to be sent1(t)、s2(t)、s3(t) adding three channels of the sending end chaotic system to carry out chaotic modulation, wherein the sending end chaotic system comprises:
Figure FDA0002815018200000015
Figure FDA0002815018200000016
Figure FDA0002815018200000017
then, the chaotic system state z obtained after three-channel information modulation is obtaineda1、za2And za3Sending the data from the sending end to the receiving end;
step three: receiving end Chen chaos system structure
The Chen chaos system is constructed at the receiving end as follows:
Figure FDA0002815018200000018
Figure FDA0002815018200000019
Figure FDA00028150182000000110
wherein z isbiI is 1,2 and 3 are three states of the receiving end chaotic system,
Figure FDA00028150182000000111
is the derivative of three states of the receiving end chaotic system,
then, u is respectively superposed on the receiving end chaotic system1、u2、u3And
Figure FDA00028150182000000112
at this time, the receiving end chaotic system is as follows:
Figure FDA0002815018200000021
Figure FDA0002815018200000022
Figure FDA0002815018200000023
wherein u is1、u2And u3For the input of a receiving-end chaotic systemThe signal(s) is (are) transmitted,
Figure FDA0002815018200000024
sending information s separately for the sender1(t)、s2(t)、s3(t) a decrypted recovery value of (t),
setting the initial state value z of the Chen chaotic system at the receiving endbi(0) I-1, 2,3 and information decryption recovery value
Figure FDA0002815018200000025
Step four: design of equivalent control law
According to the Chen's chaotic signal z of the sending endaiI is 1,2,3 and a signal z of a receiving end Chen chaos systembiI-1, 2,3 forming an error signal ei＝zai-zbi1,2 and 3, and constructing an equivalent control law as follows:
u1a＝35e2
u2a＝28e2
u3a＝zb1e2
wherein u is1a、u2aAnd u3aIs an equivalent control strategy;
step five: synchronous control rule structure based on terminal sliding mode
The terminal sliding mode synchronous control law is as follows,
ui＝-uia-uib i＝1,2,3
wherein u isiaIn accordance with the definition of step four, uiIs the input signal of the receiving end chaotic system u1b、u2bAnd u3bThe terminal sliding mode control strategy is adopted, so that the state of the receiving end chaotic system can always approach the state of the receiving end chaotic system in a finite time under the condition of any initial state value, namely zbi→zaii＝1,2,3，
And the number of the first and second electrodes,
Figure FDA0002815018200000026
wherein the content of the first and second substances,
Figure FDA0002815018200000031
kn1i、kn2i、kn3i、kn4i、kn5ithe gain is positive, the value is determined by the specific implementation case,
kifor time-varying gain, the initial value is a positive value, and the adjusting steps are as follows:
Figure FDA0002815018200000032
wherein p isi、qiIs a positive odd number, epsilonaiIs a positive number, the value of which is determined by the specific implementation case,
parameter kia＞0，ki(0) Is kiInitial value of (a), kiaAnd k isi(0) The value of (A) is also determined by the specific implementation case;
step six: three-channel information nonlinear recovery strategy design based on logarithmic function
And recovering and decrypting the information according to the following formula:
Figure FDA0002815018200000033
Figure FDA0002815018200000034
Figure FDA0002815018200000035
wherein k is41、k42、k43、k51、k52、k53、k61、k62、k63、εb1、εb2、εb3The positive parameter, the value of which is also determined by the specific implementation case,
then, decrypt to obtain
Figure FDA0002815018200000036
And obtained
Figure FDA0002815018200000037
Approaching to transmitting information s1(t)、s2(t)、s3(t)。
2. The three-channel safe communication method based on the double-Chen chaotic system and the terminal sliding mode according to claim 1, characterized in that an output test is performed after the construction of the sending end chaotic system is completed in the first step, the output state of the sending end chaotic system is observed, if an irregular chaotic signal cannot appear, the sending end chaotic system is indicated to be abnormal and cannot pass the test, and the three-channel safe communication method is reconstructed after the parameter setting is checked until the test is passed.
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CN110149201B (en) * 2019-07-05 2022-05-24 郑州轻工业学院 Secret communication method based on error concealment and chaos synchronization
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Citations (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103780372B (en) * 2014-02-22 2015-06-10 四川大学 Chen chaotic system switching method and circuit containing y<2> with different fractional orders
CN105187194A (en) * 2015-09-09 2015-12-23 王春梅 Memristor-based Chen hyperchaotic system self-adaptive synchronization method and circuit
CN105071923B (en) * 2015-09-01 2016-06-15 刘昊 A kind of left-leaning chaos system containing folding attractor realize circuit
CN105959095A (en) * 2016-06-03 2016-09-21 烟台大学 Lorenz chaotic synchronization method based on intelligent gain feedback adjustment
CN106817213A (en) * 2015-11-27 2017-06-09 南京理工大学 A kind of fractional order nonlinear chaos system circuit
CN107086903A (en) * 2017-06-16 2017-08-22 郑州轻工业学院 The simplification synchronous method of driving chaos system and response chaos system is realized using two inputs
US9975037B2 (en) * 2011-04-06 2018-05-22 Tufts University Sudoku arrays

Patent Citations (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US9975037B2 (en) * 2011-04-06 2018-05-22 Tufts University Sudoku arrays
CN103780372B (en) * 2014-02-22 2015-06-10 四川大学 Chen chaotic system switching method and circuit containing y<2> with different fractional orders
CN105071923B (en) * 2015-09-01 2016-06-15 刘昊 A kind of left-leaning chaos system containing folding attractor realize circuit
CN105187194A (en) * 2015-09-09 2015-12-23 王春梅 Memristor-based Chen hyperchaotic system self-adaptive synchronization method and circuit
CN106817213A (en) * 2015-11-27 2017-06-09 南京理工大学 A kind of fractional order nonlinear chaos system circuit
CN105959095A (en) * 2016-06-03 2016-09-21 烟台大学 Lorenz chaotic synchronization method based on intelligent gain feedback adjustment
CN107086903A (en) * 2017-06-16 2017-08-22 郑州轻工业学院 The simplification synchronous method of driving chaos system and response chaos system is realized using two inputs

Non-Patent Citations (2)

* Cited by examiner, † Cited by third party
Title
"Chaos in the fractional order Chen system and its control";Chunguang Li ect.;《science@direct》;20041130 *
"陈氏混沌系统的混沌同步";朱清祥，张蕊;《武汉理工大学学报 信息与管理工程版》;20080731 *

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