Shift dynamics near non-elementary T-points with real eigenvalues. Issue 4 (3rd April 2018)

• Record Type: Journal Article
• Authors: Knobloch, Jürgen; Lamb, Jeroen S. W.; Webster, Kevin N.
• Is Part Of: Journal of difference equations and applications. Volume 24:Issue 4(2018)
• Page Start: 609
• Page End: 654
• Publication Date: 2018-04-03
• Subjects: Heteroclinic cycles -- reversible vector fields -- Lins' method -- heteroclinic bifurcations; 34C37 -- 34C23 -- 34C28 -- 37G40 -- 37G25; Difference equations -- Periodicals; 515.625
• DOI: 10.1080/10236198.2017.1331890
• Languages: English
• ISSNs: 1023-6198

Abstract

Abstract: We consider non-elementary T-points in reversible systems inR 2 n + 1 . We assume that the leading eigenvalues are real. We prove the existence of shift dynamics in the unfolding of this T-point. Furthermore, we study local bifurcations of symmetric periodic orbits occurring in the process of dissolution of the chaotic dynamics.