HomCont swMATH ID: 14927 Software Authors: Champneys, A. R.; Kuznetsov, Yu.A.; Sandstede, B. Description: HomCont, jointly developed with Alan Champneys (University of Bristol) and Yuri A Kuznetsov (Utrecht University), is a numerical toolbox for homoclinic bifurcation analysis. It is designed for use with AUTO written by Eusebius Doedel (Concordia University). Specifically, HomCont deals with continuation of codimension-one heteroclinic and homoclinic orbits to hyperbolic and saddle-node equilibria, including the detection of many codimension-two singularities and the continuation of these singularities in three or more parameters. Homepage: http://www.dam.brown.edu/people/sandsted/homcont.php Related Software: AUTO; MATCONT; AUTO-07P; AUTO2000; Matlab; AUTO-86; DSTool; COCO; CL_MATCONT; XPPAUT; TC-HAT; SlideCont; Torcont; Dynamics; PITCON; pde2path; DDE-BIFTOOL; CONTENT; wavetrain; COLNEW Referenced in: 254 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year A numerical toolbox for homoclinic bifurcation analysis. Zbl 0877.65058Champneys, A. R.; Kuznetsov, Yu. A.; Sandstede, B. 1996 all top 5 Referenced by 386 Authors 27 Rodríguez-Luis, Alejandro J. 20 Algaba, Antonio 15 Champneys, Alan R. 15 Yagasaki, Kazuyuki 14 Krauskopf, Bernd 12 Sandstede, Björn 11 Qin, Bo-Wei 10 Chung, Kwok-Wai 10 Osinga, Hinke Maria 9 Govaerts, Willy J. F. 9 Kuznetsov, Yuri Alexandrovich 9 Merino, Manuel 8 Amabili, Marco 8 Freire Macías, Emilio 7 Kooi, Bob W. 6 Boer, Martin P. 6 Fernández-Sánchez, Fernando 6 Páez Chávez, Joseph Nikolai 5 Friedman, Mark J. 5 Ghayesh, Mergen H. 5 Pizarro, Luis 5 Rinaldi, Sergio 5 Scheel, Arnd 4 Aguirre, Pablo 4 De Feo, Oscar 4 Doedel, Eusebius J. 4 Domínguez-Moreno, María C. 4 Kooijman, Sebastiaan A. L. M. 4 Meijer, Hil G. E. 4 Ogawa, Toshiyuki 3 Dercole, Fabio 3 Engel, Harald 3 Farokhi, Hamed 3 Gamero, Estanislao 3 Giraldo, Andrus 3 Karniadakis, George Em 3 Kevrekidis, Ioannis George 3 Kühn, Christian 3 Laing, Carlo R. 3 Mukhopadhyay, Sanghasri 3 Oldeman, Bart E. 3 Sidhu, Harvinder Singh 3 Sirisup, Sirod 3 van der Heijden, Gert H. M. 3 Verschueren, Nicolas 2 Ashwin, Peter 2 Bordyugov, Grigory 2 Burylko, Oleksandr 2 Ei, Shin-Ichiro 2 Gani, M. Osman 2 Gonçalves, Paulo Batista 2 Gragnani, Alessandra 2 Guckenheimer, John M. 2 Harjanto, Eric 2 Hunt, Giles W. 2 Ipsen, Mads 2 Jones, Christopher K. R. T. 2 Kirk, Vivien 2 Kuwamura, Masataka 2 Liu, Yang 2 Lloyd, David J. B. 2 Lord, Gabriel James 2 McLachlan, Robert I. 2 Merchant, Sandra M. 2 Mireles-James, Jason D. 2 Mukhopadhyay, Asim 2 Nagata, Wayne 2 Nakazawa, Takefumi 2 Nelson, Mark Ian 2 Nishiura, Yasumasa 2 Piiroinen, Petri T. 2 Pototsky, Andrey 2 Sakajo, Takashi 2 Sautois, B. 2 Schilder, Frank 2 Sherratt, Jonathan A. 2 Siegmund, Stefan 2 Storace, Marco 2 Tsaneva-Atanasova, Krasimira T. 2 Uecker, Hannes 2 van Voorn, George A. K. 2 Wiercigroch, Marian 2 Yamazoe, Shotaro 1 Al-Hdaibat, Bashir 1 Al Saadi, Fahad 1 Al-Salman, Ahd Mahmoud 1 Alexander, James Crew 1 Alijani, Farbod 1 Andrianov, Igor Vasil’evich 1 Aston, Philip J. 1 Auchmuty, Giles 1 Awrejcewicz, Jan 1 Baer, Steven M. 1 Bai, Fengshan 1 Balakrishnan, Easwaran 1 Balakrishnan, Venkataramanan 1 Bao, Jianghong 1 Barrass, Iain 1 Beemster, Gerrit T. S. 1 Belhaq, Mohamed ...and 286 more Authors all top 5 Referenced in 79 Serials 40 Physica D 19 Nonlinear Dynamics 13 Communications in Nonlinear Science and Numerical Simulation 13 SIAM Journal on Applied Dynamical Systems 8 Applied Mathematics and Computation 8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Mathematical Biosciences 7 Physics Letters. A 6 Journal of Mathematical Biology 6 Nonlinearity 6 Journal of Computational and Applied Mathematics 4 Journal of Differential Equations 4 Theoretical Population Biology 4 Applied Mathematics Letters 4 Chaos 3 International Journal of Engineering Science 3 Journal of Computational Physics 3 Journal of Engineering Mathematics 3 Japan Journal of Industrial and Applied Mathematics 3 SIAM Journal on Applied Mathematics 3 Celestial Mechanics and Dynamical Astronomy 3 Journal of Nonlinear Science 3 SIAM Journal on Scientific Computing 2 Acta Mechanica 2 Biological Cybernetics 2 IMA Journal of Numerical Analysis 2 Journal of Fluid Mechanics 2 Bulletin of Mathematical Biology 2 Chaos, Solitons and Fractals 2 SIAM Journal on Numerical Analysis 2 Dynamics and Stability of Systems 2 Applied Mathematical Modelling 2 Archive of Applied Mechanics 2 Discrete and Continuous Dynamical Systems 2 European Journal of Mechanics. B. Fluids 2 The Journal of Mathematical Neuroscience 2 Journal of Theoretical Biology 2 Journal of Computational Dynamics 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 International Journal of Non-Linear Mechanics 1 International Journal of Solids and Structures 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Journal of Sound and Vibration 1 Physics Reports 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Meccanica 1 Metroeconomica 1 Applied Numerical Mathematics 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 European Journal of Applied Mathematics 1 Numerical Algorithms 1 Linear Algebra and its Applications 1 Journal of Dynamics and Differential Equations 1 Advances in Computational Mathematics 1 Journal of Mathematical Chemistry 1 Differential Equations and Dynamical Systems 1 Mathematical and Computer Modelling of Dynamical Systems 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Discrete Dynamics in Nature and Society 1 European Journal of Mechanics. A. Solids 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Computational Management Science 1 Software - Environments - Tools 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Communications in Computational Physics 1 Mathematical Modelling of Natural Phenomena 1 International Journal of Differential Equations 1 SIAM/ASA Journal on Uncertainty Quantification 1 Journal of Nonlinear Dynamics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Referenced in 24 Fields 128 Dynamical systems and ergodic theory (37-XX) 105 Ordinary differential equations (34-XX) 57 Biology and other natural sciences (92-XX) 52 Numerical analysis (65-XX) 46 Partial differential equations (35-XX) 31 Mechanics of deformable solids (74-XX) 29 Mechanics of particles and systems (70-XX) 19 Fluid mechanics (76-XX) 7 Optics, electromagnetic theory (78-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Systems theory; control (93-XX) 3 Operator theory (47-XX) 3 Computer science (68-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Referencing Publications by Year