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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; MATCONT; HomCont; COCO; Matlab; DDE-BIFTOOL; CONTENT; Knut; AUTO-07P; MATLAB ODE suite; CL_MATCONT; MANPAK; SSMTool; RADAR5; DSTool; XPPAUT; GitHub; Tor; pde2path
Cited in: 57 Documents

Standard Articles

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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Cited by 89 Authors

7 Dercole, Fabio
7 Páez Chávez, Joseph Nikolai
5 García, Christian Cortés
5 Kuznetsov, Yuriĭ Aleksandrovich
4 di Bernardo, Mario
4 Iskin da Silveira Costa, Michel
4 Kowalczyk, Piotr
4 Piiroinen, Petri T.
3 Colombo, Alessandro G.
3 Gragnani, Alessandra
3 Liu, Yang
3 Mendoza Meza, Magno Enrique
3 Siegmund, Stefan
2 Buřič, Lubor
2 Champneys, Alan R.
2 Dankowicz, Harry J.
2 Hogan, S. John
2 Janovský, Vladimír
2 Jungmann, Dirk
2 Křivan, Vlastimil
2 Liu, Xia
2 Nordmark, Arne B.
2 Rinaldi, Sergio
2 Sieber, Jan
2 Simpson, David John Warwick
2 Tang, Sanyi
2 Xiao, Yanni
1 Ahsan, Zaid
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 Cao, Nanbin
1 Cheke, Robert A.
1 Chen, Jiandong
1 Del Buono, Nicoletta
1 Della Rossa, Fabio
1 Ding, Hejiang
1 Donde, Vaibhav
1 Efstathiou, Konstantinos
1 Götz, Thomas
1 Groppi, Maria
1 Guardia, Marcel
1 Guo, Bingyong
1 Gürbüz, Burcu
1 Hiskens, Ian A.
1 Homer, Martin E.
1 Jiang, Ziwang
1 Krauskopf, Bernd
1 Lamiani, Paola
1 Li, Mingwu
1 Li, Peng
1 Liang, Juhua
1 Liu, Caishan
1 Lopez, Luciano
1 Ma, Wei
1 Mapuranga, Tafara
1 Marca, Rossella Della
1 Maurya, Jyoti
1 Misra, Arvind Kumar
1 Mokrani, Houda
1 Mosekilde, Erik
1 Olivar, Gerard
1 Pinto, Carla M. A.
1 Pugliese, Alessandro
1 Qin, Wenjie
1 M-Seara, Tere
1 Storti Gajani, Giancarlo
1 Taborda, John Alexander
1 Tang, Guangyao
1 Teixeira, Marco Antonio
1 Thota, Phanikrishna
1 Vera Cuenca, Jasmidt
1 Vrkoč, Ivo
1 Wang, Aili
1 Wijaya, Karunia Putra
1 Yamapi, René
1 Yan, Yao
1 Yin, Shan
1 Zhang, Jiguang
1 Zhang, Zhi
1 Zhu, Huaiping
1 Zhusubaliev, Zhanybaĭ Tursunbaevich
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Cited in 27 Serials

8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
7 SIAM Journal on Applied Dynamical Systems
6 Communications in Nonlinear Science and Numerical Simulation
4 Mathematical Biosciences
4 Nonlinear Dynamics
2 ACM Transactions on Mathematical Software
2 Mathematics and Computers in Simulation
2 Physica D
2 Discrete and Continuous Dynamical Systems. Series B
2 Mathematical Biosciences and Engineering
1 Journal of Mathematical Biology
1 Mathematical Methods in the Applied Sciences
1 Physics Letters. A
1 Chaos, Solitons and Fractals
1 Theoretical Population Biology
1 IEEE Transactions on Circuits and Systems. I: Fundamental Theory and Applications
1 SIAM Journal on Applied Mathematics
1 SIAM Review
1 Mathematical Problems in Engineering
1 Differential Equations and Dynamical Systems
1 Nonlinear Analysis. Real World Applications
1 Mathematical Medicine and Biology
1 Applied Mathematical Sciences
1 Journal of Biological Dynamics
1 International Journal of Biomathematics
1 International Journal of Differential Equations
1 Journal of Theoretical Biology
all top 5

Cited in 11 Fields

38 Ordinary differential equations (34-XX)
27 Biology and other natural sciences (92-XX)
26 Dynamical systems and ergodic theory (37-XX)
10 Numerical analysis (65-XX)
9 Mechanics of particles and systems (70-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Systems theory; control (93-XX)
2 Difference and functional equations (39-XX)
2 Operations research, mathematical programming (90-XX)
1 Partial differential equations (35-XX)
1 Calculus of variations and optimal control; optimization (49-XX)

Citations by Year