Limit Cycles of Piecewise Smooth Differential Equations on Two Dimensional Torus

Author:

Llibre Jaume,Martins Ricardo Miranda,Tonon Durval JoséORCID

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico (BR)

Publisher

Springer Science and Business Media LLC

Subject

Analysis

Reference17 articles.

1. Adler, R., Kitchens, B., Tresser, C.: Dynamics of non-ergodic piecewise affine maps of the torus. Ergod. Theory Dynam. Syst. 21(4), 959–999 (2001)

2. Ashwin, P., Fu, X., Lin, C.: On planar piecewise and two-torus parabolic maps. Int. J. Bifurc. Chaos Appl. Sci. Eng. 19(7), 2383–2390 (2009)

3. Berezin, I.S., Shidkov, N.P.: Computing methods. Vols. I, II. Translated by O. M. Blunn; translation edited by A. D. Booth. Pergamon Press, Oxford-Edinburgh-New York-Paris-Frankfurt; Addison-Wesley Publishing Co., Inc., Reading, Mass.-London, 1965. Vol. I: xxxiv+464 pp. $ 15.00; Vol. II, (1965)

4. Chernov, N.I.: Ergodic and statistical properties of piecewise linear hyperbolic automorphisms of the $$2$$ 2 -torus. J. Stat. Phys. 69(1–2), 111–134 (1992)

5. Applied Mathematical Sciences;M Bernardo di,2008

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