Fishing principle for homoclinic and heteroclinic trajectories

Author:

Leonov G. A.

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Reference23 articles.

1. Leonov, G.A.: Attractors, limit cycles and homoclinic orbits of low-dimensional quadratic systems. Anal. Methods Can. Appl. Math. Q. 17, 121–159 (2009)

2. Leonov, G.A.: General existence conditions of homoclinic trajectories in dissipative systems. Lorenz, Shimizu–Morioka, Lu and Chen systems. Phys. Lett. A 376, 3045–3050 (2012)

3. Leonov, G.A.: The Tricomi problem for the Shimizu–Morioka dynamical system. Dokl. Math. 86(3), 850–853 (2012)

4. Leonov, G.A.: Criteria for the existence of homoclinic orbits of systems Lu and Chen. Dokl. Math. 87(2), 220–223 (2012)

5. Leonov, G.A.: Shilnikov chaos in Lorenz-like systems. Int. J. Bifurc. Chaos. 23(3) (2013). art. num. 1350058

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