Invariant manifolds of homoclinic orbits and the dynamical consequences of a super-homoclinic: A case study in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:math> with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.svg"><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math>-symmetry and integral of motion-Reference-Cited by-同舟云学术

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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

Published:2022-08 Issue: Volume:327 Page:1-63
ISSN:0022-0396
Container-title:Journal of Differential Equations
language:en
Short-container-title:Journal of Differential Equations

Author:

Bakrani Sajjad^ORCID,Lamb Jeroen S.W.,Turaev Dmitry

Funder

Leverhulme Trust

european research council

Ministry of Science and Higher Education of the Russian Federation

TÜBİTAK

Russian Science Foundation

Lobachevsky University

EU Framework Programme for Research and Innovation Marie Sklodowska-Curie Actions

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference31 articles.

1. The ring principle in problems of interaction between two self-oscillating systems;Afraimovich;J. Appl. Math. Mech.,1977

2. Invariant manifolds of homoclinic orbits: super-homoclinics and multi-pulse homoclinic loops;Bakrani,2020

3. Robust cycles unfolding from conservative bifocal homoclinic orbits;Barrientos;Dyn. Syst. Int. J.,2016

4. Finitely smooth normal forms of vector fields in the vicinity of a rest point;Bronstein,1992

5. Chaos near a reversible homoclinic bifocus;Barrientos;Dyn. Syst. Int. J.,2019

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