Two-parameter degenerate sliding bifurcations in Filippov systems

By Piotr Kowalczyk, Mario di Bernardo. 2005

84 citations recorded by the source corpus.

Subfields: Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/7dd6a0eb2e7beda53275dc766be6ee7619aa7644

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Alessandro Colombo
2. Mike R. Jeffrey
3. Stephen John Hogan
4. Marcel Guardia
5. Marco Antonio Teixeira
6. Mario di Bernardo
7. Tere M. Seara
8. Jeroen S. W. Lamb

In Statistical and Nonlinear Physics

1. Marcel Guardia
2. Alessandro Colombo
3. Mike R. Jeffrey
4. Stephen John Hogan
5. Marco Antonio Teixeira
6. Mario di Bernardo
7. Tere M. Seara
8. Jeroen S. W. Lamb

Citations in the corpus

• Generic bifurcations of low codimension of planar Filippov Systems (2011, background): “Furthermore, this approach seems the best one to generalize to higher dimensional systems in order to study global bifurcations, which up to now have been only studied from other points of view (see for instance [6–8,13,16]).”
• Bifurcations of piecewise smooth flows: Perspectives, methodologies and open problems (2012, background): “The case of a grazing with a cusp point or a fourth-order tangency is discussed in [80], where the discontinuity-induced bifurcations that adjoin these codimension-two points are listed, but only the unfolding of the degenerate crossing–sliding is reported, while the unfolding of all other cases is ”
• Bifurcation of limit cycles from generalized homoclinic loops in planar piecewise smooth systems (2013, unknown): “[1,4–6,12–18] and the references therein.”