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On the Poincaré-Adronov-Melnikov method for the existence of grazing impact periodic solutions of differential equations

  • Published:2020-03 Issue:7 Volume:268 Page:3725-3748
  • ISSN:0022-0396
  • Container-title:Journal of Differential Equations
  • language:en
  • Short-container-title:Journal of Differential Equations

Author:

Battelli Flaviano,Fečkan Michal

Funder

GNAMPA

Slovak Research and Development Agency

Slovak Grant Agency VEGA

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference6 articles.

1. Stability in non-autonomous periodic systems with grazing stationary impacts;Akhmet;Carpath. J. Math.,2017

2. Smooth and Nonsmooth High Dimensional Chaos and the Melnikov-Type Methods;Awrejcewicz,2007

3. On the Poincaré-Andronov-Melnikov method for modelling of grazing periodic solutions in discontinuous systems;Battelli,2019

4. Piecewise-Smooth Dynamical Systems: Theory and Application;di Bernardo,2008

5. Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields;Guckenheimer,1983

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