Shift dynamics near non-elementary T-points with real eigenvalues

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Title: Shift dynamics near non-elementary T-points with real eigenvalues
Authors: Knobloch, J
Lamb, JSW
Webster, KN
Item Type: Journal Article
Abstract: We consider non-elementary T-points in reversible systems in R2n+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.
Issue Date: 1-Jun-2017
Date of Acceptance: 26-Oct-2016
URI: http://hdl.handle.net/10044/1/46171
DOI: https://dx.doi.org/10.1080/10236198.2017.1331890
ISSN: 1563-5120
Publisher: Taylor & Francis
Start Page: 609
End Page: 654
Journal / Book Title: Journal of Difference Equations and Applications
Volume: 24
Issue: 4
Copyright Statement: © 2017 Informa UK Limited, trading as Taylor & Francis Group.
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Commission of the European Communities
Funder's Grant Number: EP/I019111/1
643073
Keywords: Science & Technology
Physical Sciences
Mathematics, Applied
Mathematics
Heteroclinic cycles
reversible vector fields
Lins' method
heteroclinic bifurcations
REVERSIBLE VECTOR-FIELDS
LOCAL BIFURCATIONS
SYSTEMS
SYMMETRY
CHAOS
DIFFEOMORPHISMS
0101 Pure Mathematics
0102 Applied Mathematics
Applied Mathematics
Publication Status: Published
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences



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