High-order study of the canard explosion in an aircraft ground dynamics model

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

4 Scopus Citations
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Detail(s)

Original languageEnglish
Pages (from-to)1079–1090
Journal / PublicationNonlinear Dynamics
Volume100
Issue number2
Online published27 Mar 2020
Publication statusPublished - Apr 2020

Abstract

A planar system has been proposed in the paper Rankin et al. (Nonlinear Dyn 66:681–688, 2011) to understand the canard explosion detected in a 6D aircraft ground dynamics model. A specific feature of this minimal 2D system is a critical manifold with a single fold and an asymptote. In this paper, we provide a high-order analytical prediction (in fact, up to any wanted order) of the canard explosion in this system. Using a nonlinear time transformation method, we are able to approximate not only the critical parameter value, but also the critical manifold in the phase space. The comparison of our theoretical results with the corresponding numerical continuations shows a very good agreement.

Research Area(s)

  • Aircraft model, Canard explosion, Nonlinear time transformation method, Slow–fast dynamics

Citation Format(s)

High-order study of the canard explosion in an aircraft ground dynamics model. / Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J.

In: Nonlinear Dynamics, Vol. 100, No. 2, 04.2020, p. 1079–1090.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review