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

@article{Bakrani:2022:10.1016/j.jde.2022.04.002,
author = {Bakrani, S and Lamb, JSW and Turaev, D},
doi = {10.1016/j.jde.2022.04.002},
journal = {Journal of Differential Equations},
pages = {1--63},
title = {Invariant manifolds of homoclinic orbits and the dynamical consequences of a super-homoclinic: A case study in R4 with Z2-symmetry and integral of motion},
url = {http://dx.doi.org/10.1016/j.jde.2022.04.002},
volume = {327},
year = {2022}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We consider a -equivariant flow in  with an integral of motion and a hyperbolic equilibrium with a transverse homoclinic orbit Γ. We provide criteria for the existence of stable and unstable invariant manifolds of Γ. We prove that if these manifolds intersect transversely, creating a so-called super-homoclinic, then in any neighborhood of this super-homoclinic there exist infinitely many multi-pulse homoclinic loops. An application to a system of coupled nonlinear Schrödinger equations is considered.
AU  - Bakrani,S
AU  - Lamb,JSW
AU  - Turaev,D
DO  - 10.1016/j.jde.2022.04.002
EP  - 63
PY  - 2022///
SN  - 0022-0396
SP  - 1
TI  - Invariant manifolds of homoclinic orbits and the dynamical consequences of a super-homoclinic: A case study in R4 with Z2-symmetry and integral of motion
T2  - Journal of Differential Equations
UR  - http://dx.doi.org/10.1016/j.jde.2022.04.002
UR  - https://www.sciencedirect.com/science/article/pii/S002203962200239X?via%3Dihub
UR  - http://hdl.handle.net/10044/1/97154
VL  - 327
ER  -
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