Modulo periodic Poisson stable solutions of quasilinear differential equations

Abstract

We introduce a new type of recurrence in the space of continuous and bounded functions. The property is easily verifiable, and can be considered for differential equations. This time, the existence and asymptotic stability of modulo periodic Poisson stable solutions for quasilinear systems are proved. The significant novelty of the research is the numerical simulation of the functions, which is stemmed from dynamical traditions of trigonometric functions, and contributes to applications of Poisson stable oscillations.