4.6 Article

Averaging theory at any order for computing limit cycles of discontinuous piecewise differential systems with many zones

Journal

PHYSICA D-NONLINEAR PHENOMENA
Volume 353, Issue -, Pages 1-10

Publisher

ELSEVIER
DOI: 10.1016/j.physd.2017.05.003

Keywords

Periodic solution; Averaging method; Nonsmooth differential system; Piecewise smooth differential system

Funding

  1. MINECO-FEDER [MTM2016-77278-P]
  2. MINECO [MTM2013-40998-P]
  3. AGAUR [2014SGR-568]
  4. FAPESP [2015/02517-6, 2015/24841-0, 2016/11471-2]
  5. European Community [FP7-PEOPLE-2012-IRSES-316338, FP7-PEOPLE-2012-IRSES-318999]
  6. CAPES [CSF-PVE-88887]
  7. CAPES-MECD [PHB-2009-0025-PC]
  8. CAPES
  9. Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP) [16/11471-2] Funding Source: FAPESP

Ask authors/readers for more resources

This work is devoted to study the existence of periodic solutions for a class of s-family of discontinuous differential systems with many zones. We show that the averaged functions at any order control the existence of crossing limit cycles for systems in this class. We also provide some examples dealing with nonsmooth perturbations of nonlinear centers. (C) 2017 Elsevier B.V. All rights reserved.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.6
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available