Homoclinic Ω-Explosion: Hyperbolicity Intervals and Their Bifurcation Boundaries

Author:

Gonchenko Sergey,Stenkin Oleg

Publisher

Springer International Publishing

Reference30 articles.

1. Shilnikov, L.P.: On a new type of bifurcations in multidimensional dynamical systems. Sov. Math. Dokl. 182(1), 53–56 (1969)

2. Afraimovich, V.S., Shilnikov, L.P.: On accesible transitions from Morse–Smale systems to systems with many periodic motions. Russ. Acad. Sci. Izv. Math. 38(6), 1248–1288 (1974)

3. Shilnikov L.P.: On birth of periodic orbits from an orbit bi-asymptotic to a saddle–saddle equilibrium. Sov. Math. Dokl. 170(1), 49–52 (1966)

4. Palis, J.: A note on Ω-stability. Global Analysis. Proceedings of Symposia in Pure Mathematics, vol. 14, pp. 221–222. American Mathematical Society, Providence (1970)

5. Gavrilov N.K., Shilnikov, L.P.: On three-dimensional dynamical systems close to systems with a structurally unstable homoclinic curve. Part 1, Math. USSR Sb. 17, 467-485 (1972)

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