Usually, in mechanics, we obtain the trajectory of a particle given force field by solving Newton’s second law with chosen initial conditions. In contrast, through our work here, first demonstrate how one may analyze behaviour suitably defined family trajectories mechanical system. Such an approach leads us to develop mechanics analogue following well-known Raychaudhuri equation largely studied...

This paper develops a theory of analog representation. We first argue that the mark is to be found in nature representational system's interpretation function, rather than its vehicles or contents alone. then develop rulebound structure representation, according which systems use interpretive rules map syntactic structural features onto semantic features. The involves three degree-theoretic mea...

Abstract Using nonlinear chaotic systems for secure communication is an application field presented in recent published research. This paper aims at improving the security of signal transmission using encryption. The proposed approach uses a combined analogue and discrete-time structure, both emitter synchronizing receiver. prototype system used similar to Lorenz oscillator. Our study presents ...