Quasi-energy function for diffeomorphisms with wild separatrices-Reference-Cited by-同舟云学术

Quasi-energy function for diffeomorphisms with wild separatrices

Published:2009-08 Issue:1-2 Volume:86 Page:163-170
ISSN:0001-4346
Container-title:Mathematical Notes
language:en
Short-container-title:Math Notes

Author:

Grines V. Z.,Laudenbach F.,Pochinka O. V.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1134/S0001434609070190.pdf

Reference9 articles.

1. V. Grines, F. Laudenbach, and O. Pochinka, Self-Indexing Energy Function for Morse—Smale Diffeomorphisms on 3-Manifolds, arXiv: math. DS/0804.0699.

2. S. Smale, “Differentiable dynamical systems,” Bull. Amer. Math. Soc. 73, 747–817 (1967).

3. R. H. Fox and E. Artin, “Some wild cells and spheres in three-dimensional space,” Ann. of Math. (2) 49, 979–990 (1948).

4. O. G. Harrold, H. C. Griffith, and E. E. Posey, “A characterization of tame curves in three-space,” Trans. Amer. Math. Soc. 79, 12–34 (1955).

5. C. Bonatti and V. Grines, “Knots as topological invariants for gradient-like diffeomorphisms of the sphere % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfKttLearuqr1ngBPrgarmWu51MyVXguY9 % gCGievaerbd9wDYLwzYbWexLMBbXgBcf2CPn2qVrwzqf2zLnharyav % P1wzZbItLDhis9wBH5garqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC % 0xbbL8F4rqqrFfpeea0xe9Lq-Jc9vqaqpepm0xbba9pwe9Q8fs0-yq % aqpepae9pg0FirpepeKkFr0xfr-xfr-xb9adbaqaaeGaciGaaiaabe % qaamaaeaqbaaGcbaWefv3ySLgznfgDOjdarCqr1ngBPrginfgDObcv % 39gaiyaacqWFsc-uaaa!47D6! $$ \mathbb{S} $$ 3,” J. Dynam. Control Systems 6(4), 579–602 (2000).

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