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Singular Perturbed Vector Field (SPVF) Applied to Complex ODE System with Hidden Hierarchy Application to Turbocharger Engine Model

  • OPhir Nave ORCID logo EMAIL logo and Manju Sharma
Published/Copyright: October 1, 2019

Abstract

In this paper, we present the concept of singularly perturbed vector field (SPVF) method and its application to spark ignition turbocharger engine. Given a mathematical/physical model, which consist of hidden multi-scale variables, the SPVF methods transfer (using the change of coordinates) and decompose such system to fast and slow subsystems. This decomposition enables one to apply different asymptotic methods such as the method of the integral manifold, homotopy analysis method, singular perturbation method, etc. The resulting subsystem enables us to understand better the complex system and to simplify the calculations. In addition, we investigated the stability of the equilibrium points of the model. This analysis has been done due to the SPVF method which reduces the complexity of the mathematical model.

MSC 2010: 34A05; 34A09; 34A34; 34A45

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Received: 2019-01-15
Accepted: 2019-09-06
Published Online: 2019-10-01
Published in Print: 2020-02-25

© 2020 Walter de Gruyter GmbH, Berlin/Boston

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