Mel’nikov Methods and Homoclinic Orbits in Discontinuous Systems

Author:

Calamai Alessandro,Franca Matteo

Publisher

Springer Science and Business Media LLC

Subject

Analysis

Reference19 articles.

1. Awrejcewicz, J., Fečkan, M., Olejnik, P.: Bifurcations of planar sliding homoclinics. Math. Probl. Eng. 2006, 1–13 (2006)

2. Battelli, F., Fečkan, M.: Some remarks on the Mel’nikov function. Electron. J. Differ. Equ. 2002, 1–29 (2002)

3. Battelli, F., Fečkan, M.: Homoclinic trajectories in discontinuous systems. J. Dyn. Differ. Equ. 20(2), 337–376 (2008)

4. Battelli, F., Fečkan, M.: On the chaotic behaviour of discontinuous systems. J. Dyn. Differ. Equ. 23(3), 495–540 (2011)

5. Battelli, F., Lazzari, C.: Exponential dichotomies, heteroclinic orbits, and Mel’nikov functions. J. Differ. Equ. 86, 342–366 (1990)

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