Existence criterion of homoclinic trajectories in the Glukhovsky–Dolzhansky system

Author:

Leonov G.A.ORCID

Funder

Russian Scientific Foundation

Saint Petersburg State University

Publisher

Elsevier BV

Subject

General Physics and Astronomy

Reference19 articles.

1. Attractors, limit cycles and homoclinic orbits of low-dimensional quadratic systems. Analytical methods;Leonov;Can. Appl. Math. Q.,2009

2. General existence conditions of homoclinic trajectories in dissipative systems. Lorenz, Shimizu–Morioka, Lu and Chen systems;Leonov;Phys. Lett. A,2012

3. The Tricomi problem for the Shimizu–Morioka dynamical system;Leonov;Dokl. Math.,2012

4. Criteria for the existence of homoclinic orbits of systems Lu and Chen;Leonov;Dokl. Math.,2012

5. Shilnikov chaos in Lorenz-like systems;Leonov;Int. J. Bifurc. Chaos,2013

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