Crunode

Abstract: With the development of network technique and the increasing frequency of information exchange, the research of information security technique is getting more and more important. As a special nonlinear phenomenon, chaos has many properties worthy to be applied. Chaos cryptogram has a considerable advantage in the encryption of multimedia information. Basing on the character that most information on the Internet today is transmitted in the form of stream and transferred from the initial crunode to other crunodes in the form of one dimension data in the sequence of plain message ,we propose to adjust the corresponding sequence of key encryption and plain message to improve anti-decryption greatly and shows its merits and demerits by analyzing this arithmetic.

Abstract: The purpose of the present paper is coupler curve synthesis and classification in planar and spherical swinging block linkages for path generation problem. It is shown that the swinging block mechanism, which is an inversion of the slider crank mechanism, can be classified into two types. The first type generates Lemniscate coupler curves consisting one or two loops. In this case, two double points, namely cusp and crunode, occur depending on the mechanism's dimension. The second type generates Cardioid and Limacon type coupler-curves consisting of one, two, three, and four loops. In this case, three kinds Of double points, namely cusp, crunode, and tacnode, occur. For the spherical swinging-block linkages, a parametric coupler curve equation is derived. Using a trigonometric similitude between the planar and spherical linkages, a symmetrical coupler curve and singular point classification is accomplished.