Frequency limitations from the circuit realization of saw-tooth based multi-scroll oscillators

Abstract

Since multi-scroll chaotic oscillators are known to have many challenges due to the parasitic effects in the circuit implementation, this paper analyzes their effect on the non-ideal slopes and presence of delays in the realization of the saw-tooth nonlinear function which is used to generate these oscillators. The proposed analysis and description is applicable for any comparator-based nonlinear functions, but followed by a particular dynamical multi-scroll system, which is observed to generate positive Lyapunov exponents for some regions of operation. This process helps us to get insights regarding the potential spectra limit related to a saw-tooth nonlinear function circuit.