Paper Info
Title
SlideCont: An Auto97 driver for bifurcation analysis of Filippov systems
Abstract
SLIDECONT, an AUTO97 driver for sliding bifurcation analysis of discontinuous piecewise-smooth autonomous systems, known as Filippov systems, is described in detail. Sliding bifurcations are those in which some sliding on the discontinuity boundary is critically involved. The software allows for detection and continuation of codimension-1 sliding bifurcations as well as detection of some codimension-2 singularities, with special attention to planar systems (n = 2). Some bifurcations are also supported for n-dimensional systems.This article gives a brief introduction to Filippov systems, describes the structure of SLIDECONT and all computations supported by SLIDECONT 2.0. Several examples, which are distributed together with the source code of SLIDECONT, are presented.
Year
DOI
Venue
2005
10.1145/1055531.1055536
ACM Trans. Math. Softw.
Keywords
Field
DocType
n-dimensional system,special attention,piecewise-smooth differential equations,codimension-2 singularity,sliding bifurcations,filippov systems,auto97 driver,filippov system,discontinuity boundary,autonomous system,bifurcation analysis,source code,auto97,brief introduction,numerical continuation,differential equation
Differential equation,Control theory,Discontinuity (linguistics),Continuation,Singularity,Autonomous system (mathematics),Gravitational singularity,Numerical continuation,Mathematics,Bifurcation
Journal
Volume
Issue
ISSN
31
1
0098-3500
Citations 
PageRank 
References 
17
2.99
3
Authors
2
Name
Order
Citations
PageRank
Fabio Dercole14714.32
Yuri A. Kuznetsov210717.08