Shift dynamics near non-elementary T-points with real eigenvalues
File(s)KnLaWe15_r.pdf (293.74 KB)
Accepted version
Author(s)
knobloch, J
Lamb, JSW
webster, KN
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.
Date Issued
2017-06-01
Date Acceptance
2016-10-26
Citation
Journal of Difference Equations and Applications, 2017, 24 (4), pp.609-654
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
Engineering & Physical Science Research Council (EPSRC)
Commission of the European Communities
Grant Number
EP/I019111/1
643073
Subjects
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