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SlideCont

swMATH ID:	877
Software Authors:	Dercole, Fabio; Kuznetsov, Yuri A.
Description:	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.
Homepage:	http://www.staff.science.uu.nl/~kouzn101/cm/slidecont.pdf
Keywords:	numerical examples; SLIDECONT; sliding bifurcations; Filippov systems; discontinuity boundary
Related Software:	TC-HAT; AUTO; HomCont; MATCONT; COCO; Matlab; MATLAB ODE suite; CL_MATCONT; DDE-BIFTOOL; ode23s; ode113; Ode15s; ode45; ode23; dde23; Knut; CONTENT; VFGEN; DISODE45; galepu
Cited in:	49 Publications

1 Publication describing the Software, including 1 Publication in zbMATH	Year
SlideCont: An AUTO97 driver for bifurcation analysis of Filippov systems. Zbl 1073.65070 Dercole, Fabio; Kuznetsov, Yuri A.	2005

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4	Iskin da Silveira Costa, Michel
4	Kowalczyk, Piotr
4	Piiroinen, Petri T.
3	Gragnani, Alessandra
3	Mendoza Meza, Magno Enrique
3	Siegmund, Stefan
2	Buřič, Lubor
2	Champneys, Alan R.
2	García, Christian Cortés
2	Hogan, S. John
2	Janovský, Vladimír
2	Jungmann, Dirk
2	Křivan, Vlastimil
2	Liu, Yang
2	Nordmark, Arne B.
2	Rinaldi, Sergio
2	Simpson, David John Warwick
2	Tang, Sanyi
2	Xiao, Yanni
1	Amador, Jorge A.
1	Angulo, Fabiola
1	Arango, Iván
1	Barton, David A. W.
1	Benadero, Luis
1	Bizzarri, Federico
1	Bolzoni, Luca
1	Broer, Henk W.
1	Budd, Christopher John
1	Camara, Baba Issa
1	Cheke, Robert A.
1	Chen, Jiandong
1	Dankowicz, Harry J.
1	Del Buono, Nicoletta
1	Della Rossa, Fabio
1	Ding, Hejiang
1	Donde, Vaibhav
1	Efstathiou, Konstantinos
1	Götz, Thomas B.
1	Groppi, Maria
1	Guardia, Marcel
1	Guo, Bingyong
1	Gürbüz, Burcu
1	Hiskens, Ian A.
1	Homer, Martin E.
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1	Krauskopf, Bernd
1	Lamiani, Paola
1	Li, Peng
1	Liang, Juhua
1	Liu, Caishan
1	Liu, Xia
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1	Ma, Wei
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1	Mokrani, Houda
1	Mosekilde, Erik
1	Olivar, Gerard
1	Pinto, Carla M. A.
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1	Qin, Wenjie
1	M-Seara, Tere
1	Sieber, Jan
1	Storti Gajani, Giancarlo
1	Taborda, John Alexander
1	Tang, Guangyao
1	Thota, Phanikrishna
1	Vrkoč, Ivo
1	Wang, Aili
1	Wijaya, Karunia Putra
1	Yamapi, René
1	Zhang, Jiguang
1	Zhang, Xiao
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2	Physica D
2	Discrete and Continuous Dynamical Systems. Series B
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