On the birth of limit cycles for non-smooth dynamical systems
- 1 May 2015
- journal article
- Published by Elsevier BV in Bulletin des Sciences Mathématiques
- Vol. 139 (3), 229-244
- https://doi.org/10.1016/j.bulsci.2014.08.011
Abstract
No abstract availableKeywords
Other Versions
Funding Information
- MINECO/FEDER (MTM2008-03437)
- AGAUR (2014SGR-586)
- icrea
- FAPESP (2013/16492-0)
- FAPESP (2012/18780-0)
- CAPES (88881.030454/2013-01)
This publication has 17 references indexed in Scilit:
- On the number of limit cycles in general planar piecewise linear systemsDiscrete & Continuous Dynamical Systems, 2012
- On the Gause predator–prey model with a refuge: A fresh look at the historyJournal of Theoretical Biology, 2011
- On Hopf bifurcation in non-smooth planar systemsJournal of Differential Equations, 2010
- HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDSInternational Journal of Bifurcation and Chaos, 2003
- The McKean's Caricature of the Fitzhugh--Nagumo Model I. The Space-Clamped SystemSIAM Journal on Applied Mathematics, 2003
- Centennial History of Hilbert's 16th ProblemBulletin of the American Mathematical Society, 2002
- Regularization of discontinuous vector fields in dimension threeDiscrete & Continuous Dynamical Systems, 1997
- Fixed point theory and nonlinear problemsBulletin of the American Mathematical Society, 1983
- A Filippov solution of a system of differential equations with discontinuous right-hand sidesEconomics Letters, 1979
- Differential equations with discontinuous right-hand side for planning proceduresJournal of Economic Theory, 1972