Heteroclinic cycles arising in generic unfoldings of nilpotent singularities

Author:

Barrientos Pablo G.,Ibáñez Santiago,Rodríguez J. Ángel

Publisher

Springer Science and Business Media LLC

Subject

Analysis

Reference55 articles.

1. Amick C.J., Toland J.F.: Homoclinic orbits in the dynamic phase-space analogy of an elastic strut. Eur. J. Appl. Math. 3(2), 97–114 (1992)

2. Belyakov L.A.: Bifurcations of systems with a homoclinic curve of the saddle-focus with a zero saddle value. Mat. Zametki 36(5), 681–689 (1984)

3. Belyakov L.A., Shil’nikov L.P.: Homoclinic curves and complex solitary waves. Sel. Math. Sov. 9(3), 219–228 (1990)

4. Benedicks M., Carleson L.: The dynamics of the H énon map. Ann. Math. (2) 133(1), 73–169 (1991)

5. Birkhoff G.D.: Nouvelles recherches sur les systèmes dynamiques. Mém. Pont. Acad. Sci. Novi Lyncaei 1, 85–216 (1935)

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