Imperial College London
Professor Dmitry Turaev

ProfessorDmitryTuraev

Faculty of Natural Sciences, Department of Mathematics

Professor of Applied Mathematics & Mathematical Physics
 
 
 
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Contact

 

d.turaev

 
 
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Location

 

634Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@unpublished{Li:2022,
author = {Li, D and Li, X and Shinohara, K and Turaev, D},
publisher = {ArXiv},
title = {Robust heterodimensional cycles in two-parameter unfolding of homoclinic  tangencies},
url = {http://arxiv.org/abs/2203.14075v1},
year = {2022}
}
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RIS format (EndNote, RefMan)

TY  - UNPB
AB  - We consider $C^r$ $(r=3,\dots,\infty,\omega)$ diffeomorphisms with a generichomoclinic tangency to a hyperbolic periodic point, where this point has atleast one complex (non-real) central multiplier and some explicit assumptionson central multipliers are satisfied so that the dynamics near the homoclinictangency is not effectively one-dimensional. We prove that $C^1$-robustheterodimensional cycles of co-index one appear in any generic two-parameter$C^r$-unfolding of such a tangency. These heterodimensional cycles also have$C^1$-robust homoclinic tangencies.
AU  - Li,D
AU  - Li,X
AU  - Shinohara,K
AU  - Turaev,D
PB  - ArXiv
PY  - 2022///
TI  - Robust heterodimensional cycles in two-parameter unfolding of homoclinic  tangencies
UR  - http://arxiv.org/abs/2203.14075v1
UR  - http://hdl.handle.net/10044/1/97318
ER  -
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