Cryptography is the combination of Mathematics and Computer Science. Cryptography is used for encryption and decryption of data using mathematics. Cryptography transmit the information in an illegible manner such that only intended recipients will be able to decrypt the information. In the recent years, researchers developed several new encryption methods. Among such Diffie–Hellman encryption is the one laid a concealed platform for the researchers in Cryptography. Ever science several mathematical models were applied for encryption/decryption. In this paper, we introduced a Diffie–Hellman encryption, which uses points on the elliptic curve, and as an additional security the Fibonacci Q-matrix is introduced.

The pinning hybrid synchronization of time-delay hyperchaotic Lü systems is investigated via linear control. Based on Lyapunov stability theory, the coexistence of pinning anti-synchronization and complete synchronization of time-delay hyperchaotic Lü systems is obtained via one single controller. Sufficient conditions are obtained to achieve the hybrid Pinning synchronization. Numerical simulations are presented to demonstrate the effectiveness of the proposed schemes.

In this paper, Haar wavelet collocation method has been employed to solve problems occur in the mathematical modeling of induction motor. To approximate the solution algorithm based on Haar wavelet is considered. The order of convergence is estimated for discussed problems. The accuracy issues of the solutions are demonstrated by comparing with other numerical techniques existing in the literature.

In this paper we propose and analyze nonlinear mixed-effects models for longitudinal data, obtaining robust maximum likelihood estimates for the parameters by introducing Huber’s function in the log-likelihood function. Furthermore, the test for outliers in the model based on robust estimation is investigated through generalized Cook’s distance. The obtained results are illustrated by plasma concentrations data presented in Davidian and Giltiman, which was analyzed under the non-robust situation.

As businesses are getting better, and many lifestyle changes. The movie community has not changed preferences. Many people still queue to pay for placement to watch movie in cinema houses. For those who hated queueing, they would buy a VCD or DVD to watch at home. The introduction of e-services has shown that e-commerce website can promote a trendy way for people to perform booking/reservation. As far as the subject matter is concerned, online booking systems can be developed for bus stations, airports, hotels, cinemas and other centers that engage in reservation. However, in this research, we developed an online booking system for cinema house called FLOW entertainments. We used Hypertext MarkUp Language, Cascading Style Sheet and JavaScript for the front end and MySQL database as the back end; and PHP as the scripting language. The designed system was implemented using the XAMPP package. XAMPP comes with the Apache as the server, NetBeans and Dreamweaver CSS were used at the customer-side for the development. The developed system was successfully tested on a computer system with a 4 gigabyte RAM and a DUAL CORE processor with a processor speed of 2.16GHz.

According to encryption structure of permutation and diffusion, as well as pseudo-randomness of chaotic synchronization sequences, tracking Hindmarsh-Rose system via Genesio-Tesi system is applied into the process of image encryption. Theoretical analysis and simulations suggest that the proposed encryption algorithm has good security in image transmission.

For image segmentation methods, a clear image is often the object. High-quality segmentation is possible in many experiments. However, in the actual image, noise is inevitable. Many segmentation methods for high-noise images are not satisfactory. This paper puts forward a method of image coupling denoising and segmentation for high-noise image. A new variational model is adopted, then the denoised image is segmented using the improved CV model. The numerical calculation uses multiple directions difference to approximate the partial derivative, obtaining a rapid and stable effect. The experimental results show that the proposed coupling denoising and segmentation method could demonstrate validity. Where the image’s, high noise is concerned, segmentation is obviously superior to the Li’s[15] model.

Data privacy protection is one of the most disturbed issues on the present industry Data isolation issue require to be addressed immediately previous to the data sets are common on a cloud. Data point refers to as hiding compound data for owner of data records. Expand the process of analysis over big multidimensional information as well, by importance open problems and real investigate trends. In this research new algorithm called Adaptive Cluster Multi Dimensional Data Analysis in Map Reduce Framework is been implemented on mat lab. Dispensation great quantity of information is attractive a confronting for data investigation software. Data clustering is a documented information study technique in data mining while adaptive K-Means is the well known partition clustering method. The inspiration at the back ACMDDA proposing algorithm is to contract with different dimensional information clustering, with minimum amount error rate and utmost meeting rate. With the help of multidimensional data set of map dipping framework, here implemented algorithm will amplify the competence of the big data for out system.

In this manuscript, finite-time burst synchronization of time-delay neuron system is investigated for two cases. In one case, parameters are known. In another case, parameters are unknown and some parameters are disturbed by periodic signal. The time to gain burst synchronization is derived and a factor affecting the synchronization time is given via theoretical analysis. The relationship between the time and the factor is described. Finally, simulation results are given to verify the effectiveness of the proposed methods.