swMATH ID: 4220
Software Authors: Alan Champneys, Fabio Dercole, Thomas Fairgrieve, Yuri Kuznetsov, Bart Oldeman, Randy Paffenroth, Bjorn Sandstede, Xianjun Wang, and Chenghai Zhang
Description: AUTO is a software for continuation and bifurcation problems in ordinary differential equations, originally developed by Eusebius Doedel, with subsequent major contribution by several people, including Alan Champneys, Fabio Dercole, Thomas Fairgrieve, Yuri Kuznetsov, Bart Oldeman, Randy Paffenroth, Bjorn Sandstede, Xianjun Wang, and Chenghai Zhang.AUTO can do a limited bifurcation analysis of algebraic systems of the formf(u,p) = 0, f,u in Rnand of systems of ordinary differential equations of the formu”(t) = f(u(t),p), f,u in Rnsubject to initial conditions, boundary conditions, and integral constraints. Here p denotes one or more parameters. AUTO can also do certain continuation and evolution computations for parabolic PDEs. It also includes the software HOMCONT for the bifurcation analysis of homoclinic orbits. AUTO is quite fast and can benefit from multiple processors; therefore it is applicable to rather large systems of differential equations.
Homepage: http://indy.cs.concordia.ca/auto/http://sourceforge.net/projects/auto-07p/files/auto07p/
Programming Languages: Fortran
Operating Systems: UNIX/Linux
Dependencies: Fortran 90
Related Software: AUTO; PITCON; DSTool; HomCont; MATCONT; AUTO-07P; Mathematica; LOCBIF; COLSYS; wavetrain; LOCA; ODESSA; XPPAUT; LAPACK; ARPACK; COLNEW; Dynamics; ALCON; FEniCS; Matlab
Cited in: 280 Documents
all top 5

Cited by 418 Authors

12 Kevrekidis, Ioannis George
8 Spence, Alastair
7 Ajbar, Abdelhamid
7 Bajaj, Anil K.
7 Pavlou, Stavros
6 Friedman, Mark J.
5 Collings, John B.
5 Doedel, Eusebius J.
5 Elnashaie, S. S. E. H.
5 Govaerts, Willy J. F.
5 Horikawa, Yo
5 Moore, Gerald
5 Solís, Francisco Javier
5 Stuart, Andrew M.
5 Wake, Graeme Charles
4 Alhumaizi, Khalid
4 Bai, Fengshan
4 Brindley, John
4 Laing, Carlo R.
4 Lust, Kurt
4 Moiola, Jorge Luis
4 Natsiavas, Sotirios
4 Net, Marta
4 Roose, Dirk
4 Sneyd, James
4 Vayenas, D. V.
3 Ashwin, Peter
3 Balakrishnan, Easwaran
3 Gani, M. Osman
3 Gattulli, Vincenzo
3 Kelley, Carl T.
3 Kuznetsov, Yuri Alexandrovich
3 Lenas, Petros
3 Maini, Philip Kumar
3 Ogawa, Toshiyuki
3 Othmer, Hans G.
3 Watanabe, Shinya
3 Wollkind, David J.
3 Yagasaki, Kazuyuki
2 Abashar, M. E. E.
2 Ali, Emad
2 Aronson, Donald G.
2 Bertram, Christopher D.
2 Braza, Peter A.
2 Brown, Harry S.
2 Budd, Christopher John
2 Casagrandi, Renato
2 Champneys, Alan R.
2 Chang, Seo Il
2 Chang, Yu
2 Chen, Guanrong
2 Crowley, Michael F.
2 de Swart, Huib E.
2 Elgin, John N.
2 Fehribach, Joseph D.
2 Fernández-Sánchez, Fernando
2 Freire Macías, Emilio
2 Garhyan, Parag
2 Garratt, T. J.
2 Glendinning, Paul Alexander
2 Guckenheimer, John M.
2 Holden, Arun V.
2 Hunt, Giles W.
2 Ibrahim, Gamal
2 Jolly, Michael Summerfield
2 Kaas-Petersen, Christian
2 Khibnik, Alexander I.
2 Kirk, Vivien
2 Kitajima, Hiroyuki
2 Ku-Carrillo, Roberto Alejandro
2 Lepidi, Marco
2 Mahecha-Botero, Andrés
2 Matsushita, Haruna
2 Mei, Zhen
2 Paidoussis, Michael P.
2 Peckham, Bruce B.
2 Petrov, Valery
2 Price, C. B.
2 Rodríguez-Luis, Alejandro J.
2 Rucklidge, Alastair M.
2 Sacks, Elisha P.
2 Samaranayake, Sobitha
2 Sandstede, Björn
2 Schecter, Stephen
2 Showalter, Kenneth
2 Swift, Adrian
2 Taylor, Mark Alan
2 Theodosiou, Constantine E.
2 Thomopoulos, N. A.
2 Thompson, John Michael T.
2 van der Heijden, Gert H. M.
2 Van der Zant, Herre S. J.
2 Vyas, Ashwin
2 Wang, Xiaoli
2 Yabuno, Hiroshi
1 Adomaitis, Raymond A.
1 Adrover, Alessandra
1 Al-Hdaibat, Bashir
1 Alahmad, Malik
1 Alexander, James Crew
...and 318 more Authors
all top 5

Cited in 82 Serials

32 Physica D
22 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
15 Mathematical and Computer Modelling
11 Mathematical Biosciences
10 Chaos, Solitons and Fractals
10 SIAM Journal on Applied Mathematics
7 Bulletin of Mathematical Biology
6 SIAM Journal on Numerical Analysis
6 SIAM Journal on Applied Dynamical Systems
5 Computer Methods in Applied Mechanics and Engineering
5 International Journal of Non-Linear Mechanics
5 Nonlinearity
5 Physics Letters. A
5 Journal of Computational and Applied Mathematics
5 Journal of Nonlinear Science
5 Nonlinear Dynamics
4 Journal of Fluid Mechanics
4 Applied Mathematics and Computation
4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Communications in Nonlinear Science and Numerical Simulation
3 IMA Journal of Numerical Analysis
3 Journal of Computational Physics
3 Journal of the Franklin Institute
3 Journal of Mathematical Biology
3 Journal of Sound and Vibration
3 Dynamics and Stability of Systems
3 Numerical Algorithms
2 Acta Mechanica
2 Computers & Mathematics with Applications
2 International Journal of Solids and Structures
2 Numerische Mathematik
2 Theoretical Population Biology
2 European Journal of Applied Mathematics
2 Journal of Elasticity
2 Journal of Dynamics and Differential Equations
2 SIAM Journal on Scientific Computing
2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Combustion Theory and Modelling
2 Sādhanā
1 Artificial Intelligence
1 International Journal of Heat and Mass Transfer
1 Journal of the Mechanics and Physics of Solids
1 Journal of Statistical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Theoretical and Computational Fluid Dynamics
1 Journal of Guidance, Control and Dynamics
1 Computing
1 Quarterly of Applied Mathematics
1 The Review of Economic Studies
1 Acta Applicandae Mathematicae
1 Applied Numerical Mathematics
1 Acta Mathematicae Applicatae Sinica. English Series
1 CAD. Computer-Aided Design
1 IMPACT of Computing in Science and Engineering
1 Neural Networks
1 Journal of Global Optimization
1 IEEE Transactions on Circuits and Systems. I: Fundamental Theory and Applications
1 Applied Mathematical Modelling
1 Journal of Non-Newtonian Fluid Mechanics
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 SIAM Journal on Mathematical Analysis
1 Celestial Mechanics and Dynamical Astronomy
1 Philosophical Transactions of the Royal Society of London. Series A
1 Vestnik St. Petersburg University. Mathematics
1 Experimental Mathematics
1 Physics of Fluids
1 Fractals
1 Advances in Computational Mathematics
1 Journal of Computational Neuroscience
1 Journal of Difference Equations and Applications
1 Chaos
1 Discrete Dynamics in Nature and Society
1 New Journal of Physics
1 The ANZIAM Journal
1 Nonlinear Analysis. Real World Applications
1 Acta Numerica
1 Advances in Difference Equations
1 Directions in Chaos
1 Springer Series in Computational Mathematics
1 Journal of Theoretical Biology
1 Berichte aus der Mathematik

Citations by Year