Existence criterion of homoclinic trajectories in the Glukhovsky–Dolzhansky system

Existence criterion of homoclinic trajectories in the Glukhovsky–Dolzhansky system

Existence criterion of homoclinic trajectories in the Glukhovsky–Dolzhansky system, describing three-mode model of rotating fluid convection, is obtained. New applications of the Fishing principle are developed. •New applications of Fishing principles are developed.•General nonexistence criterion fo...

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Veröffentlicht in:Physics letters. A 2015-03, Vol.379 (6), p.524-528
1. Verfasser: Leonov, G.A.
Format: Artikel
Sprache:eng
Schlagworte:
Convection modes
Criteria
Fishing
Fishing principle
Glukhovsky–Dolzhansky system
Homoclinic trajectories
Mathematical models
Parameters space
Phase space
Rotating fluids
Solid state physics
Trajectories
Tricomi problem
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Zusammenfassung:Existence criterion of homoclinic trajectories in the Glukhovsky–Dolzhansky system, describing three-mode model of rotating fluid convection, is obtained. New applications of the Fishing principle are developed. •New applications of Fishing principles are developed.•General nonexistence criterion for homoclinic trajectories is proved.•Existence of homoclinic trajectories in Glukhovsky–Dolzhansky system is shown.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2014.12.005