In this paper we numerically investigate the chaotic behaviours of the fractional-order Ikeda delay system. The results show that chaos exists in the fractional-order Ikeda delay system with order less than 1. The low...In this paper we numerically investigate the chaotic behaviours of the fractional-order Ikeda delay system. The results show that chaos exists in the fractional-order Ikeda delay system with order less than 1. The lowest order for chaos to be a, ble to appear in this system is found to be 0.1. Master-slave synchronization of chaotic fractional-order Ikeda delay systems with linear coupling is also studied.展开更多
Based on the property of solutions of the nonlinear differential equation,this paper focuses on the behavior of solutions to the two-dimensional Ikeda model,especially the dependence of the solutions on the parameter....Based on the property of solutions of the nonlinear differential equation,this paper focuses on the behavior of solutions to the two-dimensional Ikeda model,especially the dependence of the solutions on the parameter.The dependency relationship of the two-dimensional Ikeda model on the parameter is revealed by a large sample of proper numerical simulations.With the parameter varying from 0 to 1,the numerical solutions change from a point attractor to periodic solutions,then to chaos,and end up with a limit cycle.Furthermore,the route from bifurcation to chaos is shown to be continuous period-doubling bifurcations.The nonlinear structures presented by the solution of the two-dimensional Ikeda model indicate that,by setting different model parameters,one can test a new method that will be adopted to study atmospheric or oceanic predictability and/or stability.The corresponding test results provide some useful information on the ability of the new approach overcoming the impacts of strong nonlinearity.展开更多
Image encryption has attracted much interest as a robust security solution for preventing unauthorized access to critical image data.Medical picture encryption is a crucial step in many cloud-based and healthcare appl...Image encryption has attracted much interest as a robust security solution for preventing unauthorized access to critical image data.Medical picture encryption is a crucial step in many cloud-based and healthcare applications.In this study,a strong cryptosystem based on a 2D chaotic map and Jigsaw transformation is presented for the encryption of medical photos in private Internet of Medical Things(IoMT)and cloud storage.A disorganized three-dimensional map is the foundation of the proposed cipher.The dispersion of pixel values and the permutation of their places in this map are accomplished using a nonlinear encoding process.The suggested cryptosystem enhances the security of the delivered medical images by performing many operations.To validate the efficiency of the recommended cryptosystem,various medical image kinds are used,each with its unique characteristics.Several measures are used to evaluate the proposed cryptosystem,which all support its robust security.The simulation results confirm the supplied cryptosystem’s secrecy.Furthermore,it provides strong robustness and suggested protection standards for cloud service applications,healthcare,and IoMT.It is seen that the proposed 3D chaotic cryptosystem obtains an average entropy of 7.9998,which is near its most excellent value of 8,and a typical NPCR value of 99.62%,which is also near its extreme value of 99.60%.Moreover,the recommended cryptosystem outperforms conventional security systems across the test assessment criteria.展开更多
基金Project supported by the National Natural Science Foundation of China （Grant No 60404005）.
文摘In this paper we numerically investigate the chaotic behaviours of the fractional-order Ikeda delay system. The results show that chaos exists in the fractional-order Ikeda delay system with order less than 1. The lowest order for chaos to be a, ble to appear in this system is found to be 0.1. Master-slave synchronization of chaotic fractional-order Ikeda delay systems with linear coupling is also studied.
基金supported by the National Natural Science Foundation of China[grant number 41331174]
文摘Based on the property of solutions of the nonlinear differential equation,this paper focuses on the behavior of solutions to the two-dimensional Ikeda model,especially the dependence of the solutions on the parameter.The dependency relationship of the two-dimensional Ikeda model on the parameter is revealed by a large sample of proper numerical simulations.With the parameter varying from 0 to 1,the numerical solutions change from a point attractor to periodic solutions,then to chaos,and end up with a limit cycle.Furthermore,the route from bifurcation to chaos is shown to be continuous period-doubling bifurcations.The nonlinear structures presented by the solution of the two-dimensional Ikeda model indicate that,by setting different model parameters,one can test a new method that will be adopted to study atmospheric or oceanic predictability and/or stability.The corresponding test results provide some useful information on the ability of the new approach overcoming the impacts of strong nonlinearity.
基金The authors are thankful to the Deanship of Scientific Research at Najran University for funding this work under the Research Groups Funding program grant code(NU/RC/SERC/11/5).
文摘Image encryption has attracted much interest as a robust security solution for preventing unauthorized access to critical image data.Medical picture encryption is a crucial step in many cloud-based and healthcare applications.In this study,a strong cryptosystem based on a 2D chaotic map and Jigsaw transformation is presented for the encryption of medical photos in private Internet of Medical Things(IoMT)and cloud storage.A disorganized three-dimensional map is the foundation of the proposed cipher.The dispersion of pixel values and the permutation of their places in this map are accomplished using a nonlinear encoding process.The suggested cryptosystem enhances the security of the delivered medical images by performing many operations.To validate the efficiency of the recommended cryptosystem,various medical image kinds are used,each with its unique characteristics.Several measures are used to evaluate the proposed cryptosystem,which all support its robust security.The simulation results confirm the supplied cryptosystem’s secrecy.Furthermore,it provides strong robustness and suggested protection standards for cloud service applications,healthcare,and IoMT.It is seen that the proposed 3D chaotic cryptosystem obtains an average entropy of 7.9998,which is near its most excellent value of 8,and a typical NPCR value of 99.62%,which is also near its extreme value of 99.60%.Moreover,the recommended cryptosystem outperforms conventional security systems across the test assessment criteria.
