Numerical simulation of high sensitivity of solutions to the nonlinear singularly perturbed dynamical system on the initial conditions and parameter

Abstract

In paper we analyze the high sensitivity of solutions to nonlinear singularly perturbed second-order dynamical systems on the initial conditions and the value of singular parameter at highest derivative of the mathematical model. Analyzing the potential profile of the system we study the oscillation patterns occurring in the system. The theory is illustrated by numerical simulation.

Note on the Sensitivity of Simulated Solutions of the Nonlinear Singularly Perturbed Dynamical System on the Used Different Rewriting into a System of First Order Differential Equations

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“…We simulate solutions of the nonlinear dynamical system [1], when a continuous function [2] is in the form: (1), (2) (1), (2), (1) …”