Research On Multi-scroll Chaotic System And Its Application In Image Encryption

In 1963,Lorenz,the father of chaos and an academician of the American Academy of Sciences,discovered chaos when studying atmospheric turbulence,which further verified Poincare's initial conjecture about chaos in the three-body motion in the 19 th century.Chaos can be seen everywhere,it almost permeates every corner of the society.In nonlinear science,chaos theory is undoubtedly one of the key branches.The study of this system is mainly related to the application and theory.In recent years,a lot of digital information begins to share through the network.Image has become an important information carrier with its advantages of intuitiveness,vividness and interactivity.Due to the openness of the network,information security is threatened,so it is extremely important to protect information from being stolen and seized by attackers.In this paper,a chaotic system is proposed,and its dynamics is analyzed from the theoretical level,and its simulation is conducted to verify its chaotic characteristics.Finally,a color image encryption scheme based on chaotic system and DNA algorithm is designed,and it is proved that the scheme has high application value.The main research work is as follows:(1)Based on the chaos theory,the definition,characteristics and criterion of chaos are introduced and analyzed in detail.Based on the basic knowledge and related theories of cryptography,DNA cryptography,DNA coding and DNA computing are summarized and discussed.(2)A new three-vortex chaotic system is designed,and the mathematical model of the system is established.The fourth-order Runge-Kutta algorithm is used for numerical solution.Through various dynamics analysis methods and MATLAB numerical simulation,the complex chaotic attractor of the chaotic system is verified within the appropriate parameter range.(3)Image encryption is one of the important ways to protect the security of image information.The design of new image encryption algorithm has become a hot research topic.Some common image encryption algorithm based on the current plaintext attack has been unable to resist selection,is proposed in this paper,first the original image scrambling for an Arnold transform preprocessing,and then to DNA transformation after one encryption image encryption arithmetic of double encryption,so as to improve the security of algorithm and the ability to resist various attacks.Through the analysis of the encryption performance after the test,it is found that the designed encryption scheme has good encryption performance and high security,and is easy to implement.Therefore,the encryption algorithm can be well applied in the field of image encryption.