Edit Profile (opens in new tab) Baesens, Claude Co-Author Distance Author ID: baesens.claude Published as: Baesens, Claude External Links: MGP · Wikidata Documents Indexed: 30 Publications since 1991, including 1 Additional arXiv Preprint Co-Authors: 6 Co-Authors with 24 Joint Publications 237 Co-Co-Authors all top 5 Co-Authors 5 single-authored 24 MacKay, Robert Sinclair 3 Kim, Seunghwan 2 Guckenheimer, John M. 2 Qin, Wenxin 1 Chen, Yi-Chiuan 1 Floría, Luis Mario 1 Gómez-Gardeñes, Jesús 1 Homs-Dones, Marc 1 Zhou, Tong all top 5 Serials 11 Nonlinearity 7 Physica D 1 Helvetica Physica Acta 1 Journal of Fluid Mechanics 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Journal of Physics A: Mathematical and General 1 Comptes Rendus de l’Académie des Sciences. Série I 1 The Journal of Mathematical Neuroscience all top 5 Fields 24 Dynamical systems and ergodic theory (37-XX) 6 Ordinary differential equations (34-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Operator theory (47-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of particles and systems (70-XX) 2 Partial differential equations (35-XX) 1 General and overarching topics; collections (00-XX) 1 Difference and functional equations (39-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25 Publications have been cited 55 times in 51 Documents Cited by ▼ Year ▼ Three coupled oscillators: Mode-locking, global bifurcations and toroidal chaos. Zbl 0734.58036 Baesens, C.; Guckenheimer, J.; Kim, S.; MacKay, R. S. 88 1991 Equivalence of uniform hyperbolicity for symplectic twist maps and phonon gap for Frenkel-Kontorova models. Zbl 0802.58021 Aubry, S.; MacKay, R. S.; Baesens, C. 26 1992 Gradient dynamics of tilted Frenkel-Kontorova models. Zbl 0906.58037 Baesens, C.; MacKay, R. S. 24 1998 Slow sweep through a period-doubling cascade: Delayed bifurcations and renormalisation. Zbl 0744.35005 Baesens, Claude 19 1991 Uniformly travelling water waves from a dynamical systems viewpoint: Some insights into bifurcations from Stokes’ family. Zbl 0756.76012 Baesens, C.; MacKay, R. S. 16 1992 Exponential localization of linear response in networks with exponentially decaying coupling. Zbl 0908.58069 Baesens, C.; MacKay, R. S. 14 1997 Cantori for multiharmonic maps. Zbl 0791.58068 Baesens, C.; MacKay, R. S. 12 1993 A novel preserved partial order for cooperative networks of units with overdamped second-order dynamics, and application to tilted Frenkel-Kontorova chains. Zbl 1052.34044 Baesens, Claude; MacKay, Robert S. 12 2004 Localised modes on localised equilibria. Zbl 0960.82003 Baesens, C.; Kim, S.; MacKay, R. S. 10 1998 Gevrey series and dynamic bifurcations for analytic slow-fast mappings. Zbl 0822.58040 Baesens, Claude 9 1995 The Frenkel-Kontorova model. Zbl 1195.82052 Floría, L. M.; Baesens, C.; Gómez-Gardeñes, J. 9 2005 Spatially extended systems with monotone dynamics (continuous time). Zbl 1111.34031 Baesens, C. 9 2005 The one to two-hole transition for cantori. Zbl 0804.58031 Baesens, C.; MacKay, R. S. 8 1994 Improved proof of existence of chaotic polaronic and bipolaronic states for the adiabatic Holstein model and generalizations. Zbl 0838.47049 Baesens, C.; MacKay, R. S. 8 1994 Resonances for weak coupling of the unfolding of a saddle-node periodic orbit with an oscillator. Zbl 1134.34022 Baesens, C.; MacKay, R. S. 6 2007 Simple resonance regions of torus diffeomorphisms. Zbl 0744.58052 Baesens, Claude; Guckenheimer, John; Kim, Seunghwan; MacKay, Robert 4 1991 Abrupt bifurcations in chaotic scattering: view from the anti-integrable limit. Zbl 1307.37032 Baesens, Claude; Chen, Yi-Chiuan; MacKay, Robert S. 4 2013 Interaction of two systems with saddle-node bifurcations on invariant circles. I: Foundations and the mutualistic case. Zbl 1290.37028 Baesens, C.; Mackay, R. S. 3 2013 Algebraic localisation of linear response in networks with algebraically decaying interaction, and application to discrete breathers in dipole-dipole systems. Zbl 1111.37302 Baesens, Claude; MacKay, Robert S. 3 1999 Invariant curves of an analytic slow-fast mapping and bifurcation delay. (Courbes invariantes d’une application lente-rapide analytique et retard à la bifurcation.) Zbl 0802.58047 Baesens, Claude 2 1993 Noise effect on dynamic bifurcations: The case of a period-doubling cascade. Zbl 0875.34018 Baesens, Claude 2 1991 Effect of temperature on polaronic and bipolaronic structures of the adiabatic Holstein model. Zbl 0952.37505 Baesens, C.; MacKay, R. S. 2 1996 Simplest bifurcation diagrams for monotone families of vector fields on a torus. Zbl 1405.37044 Baesens, C.; MacKay, R. S. 2 2018 Analysis of a scenario for chaotic quantal slowing down of inspiration. Zbl 1291.92020 Baesens, C.; MacKay, R. S. 1 2013 Depinning transition of travelling waves for particle chains. Zbl 1521.70019 Baesens, C.; MacKay, R. S.; Qin, W.-X.; Zhou, T. 1 2023 Depinning transition of travelling waves for particle chains. Zbl 1521.70019 Baesens, C.; MacKay, R. S.; Qin, W.-X.; Zhou, T. 1 2023 Simplest bifurcation diagrams for monotone families of vector fields on a torus. Zbl 1405.37044 Baesens, C.; MacKay, R. S. 2 2018 Abrupt bifurcations in chaotic scattering: view from the anti-integrable limit. Zbl 1307.37032 Baesens, Claude; Chen, Yi-Chiuan; MacKay, Robert S. 4 2013 Interaction of two systems with saddle-node bifurcations on invariant circles. I: Foundations and the mutualistic case. Zbl 1290.37028 Baesens, C.; Mackay, R. S. 3 2013 Analysis of a scenario for chaotic quantal slowing down of inspiration. Zbl 1291.92020 Baesens, C.; MacKay, R. S. 1 2013 Resonances for weak coupling of the unfolding of a saddle-node periodic orbit with an oscillator. Zbl 1134.34022 Baesens, C.; MacKay, R. S. 6 2007 The Frenkel-Kontorova model. Zbl 1195.82052 Floría, L. M.; Baesens, C.; Gómez-Gardeñes, J. 9 2005 Spatially extended systems with monotone dynamics (continuous time). Zbl 1111.34031 Baesens, C. 9 2005 A novel preserved partial order for cooperative networks of units with overdamped second-order dynamics, and application to tilted Frenkel-Kontorova chains. Zbl 1052.34044 Baesens, Claude; MacKay, Robert S. 12 2004 Algebraic localisation of linear response in networks with algebraically decaying interaction, and application to discrete breathers in dipole-dipole systems. Zbl 1111.37302 Baesens, Claude; MacKay, Robert S. 3 1999 Gradient dynamics of tilted Frenkel-Kontorova models. Zbl 0906.58037 Baesens, C.; MacKay, R. S. 24 1998 Localised modes on localised equilibria. Zbl 0960.82003 Baesens, C.; Kim, S.; MacKay, R. S. 10 1998 Exponential localization of linear response in networks with exponentially decaying coupling. Zbl 0908.58069 Baesens, C.; MacKay, R. S. 14 1997 Effect of temperature on polaronic and bipolaronic structures of the adiabatic Holstein model. Zbl 0952.37505 Baesens, C.; MacKay, R. S. 2 1996 Gevrey series and dynamic bifurcations for analytic slow-fast mappings. Zbl 0822.58040 Baesens, Claude 9 1995 The one to two-hole transition for cantori. Zbl 0804.58031 Baesens, C.; MacKay, R. S. 8 1994 Improved proof of existence of chaotic polaronic and bipolaronic states for the adiabatic Holstein model and generalizations. Zbl 0838.47049 Baesens, C.; MacKay, R. S. 8 1994 Cantori for multiharmonic maps. Zbl 0791.58068 Baesens, C.; MacKay, R. S. 12 1993 Invariant curves of an analytic slow-fast mapping and bifurcation delay. (Courbes invariantes d’une application lente-rapide analytique et retard à la bifurcation.) Zbl 0802.58047 Baesens, Claude 2 1993 Equivalence of uniform hyperbolicity for symplectic twist maps and phonon gap for Frenkel-Kontorova models. Zbl 0802.58021 Aubry, S.; MacKay, R. S.; Baesens, C. 26 1992 Uniformly travelling water waves from a dynamical systems viewpoint: Some insights into bifurcations from Stokes’ family. Zbl 0756.76012 Baesens, C.; MacKay, R. S. 16 1992 Three coupled oscillators: Mode-locking, global bifurcations and toroidal chaos. Zbl 0734.58036 Baesens, C.; Guckenheimer, J.; Kim, S.; MacKay, R. S. 88 1991 Slow sweep through a period-doubling cascade: Delayed bifurcations and renormalisation. Zbl 0744.35005 Baesens, Claude 19 1991 Simple resonance regions of torus diffeomorphisms. Zbl 0744.58052 Baesens, Claude; Guckenheimer, John; Kim, Seunghwan; MacKay, Robert 4 1991 Noise effect on dynamic bifurcations: The case of a period-doubling cascade. Zbl 0875.34018 Baesens, Claude 2 1991 all cited Publications top 5 cited Publications all top 5 Cited by 85 Authors 6 Qin, Wenxin 4 Kühn, Christian 3 Jelbart, Samuel 3 MacKay, Robert Sinclair 3 Maslennikov, Oleg V. 3 Nekorkin, Vladimir I. 2 Anastassiou, Stavros 2 Chen, Zhenyang 2 de la Llave, Rafael 2 Fruchard, Augustin 2 Kim, Seunghwan 2 Kurths, Jürgen 2 Lustri, Christopher J. 2 Slijepčević, Siniša 1 Aniceto, Inês 1 Archilla, Juan F. R. 1 Ashwin, Peter 1 Baesens, C. N. 1 Baesens, Claude 1 Bi, Qinsheng 1 Bofill, Josep Maria 1 Bustamante, Adrián P. 1 Caldas, Iberê L. 1 Cao, Yichuan 1 Chen, Fangqi 1 Choie, YoungJu 1 Cuevas Maraver, Jesús 1 Davies, Huw G. 1 Di Lallo, F. 1 El-Rabih, Abir 1 Elskens, Yves 1 Engel, Maximilian 1 Feĭgin, M. I. 1 Flach, Sergej 1 Forcadel, Nicolas 1 Gaididei, Yuri Borisovich 1 Galkin, Oleg G. 1 Gan, Chunbiao 1 Guckenheimer, John M. 1 Hall, Cameron Luke 1 Hasan Jafri, Haider 1 Hasenbichler, Daniel 1 He, Xiaolong 1 Howls, Christopher John 1 Hu, Bambi 1 Imbert, Cyril 1 Kagan, M. A. 1 Karabacak, Özkan 1 Kuntz, Sara-Viola 1 Lazarotto, Matheus J. 1 Lei, Hua 1 Li, Hengyan 1 Liu, ShaoWei 1 Mali, Provash 1 Monneau, Régis 1 Odavić, Jovan 1 Peng, Miao 1 Peng, Zhilong 1 Petrera, Matteo 1 Quapp, Wolfgang 1 Rabar, Braslav 1 Ramaswamy, Ramakrishna 1 Ramis, Jean-Pierre 1 Rangavajhula, Krishna 1 Ritchie, Paul 1 Romero, Francisco R. 1 Schäfke, Reinhard 1 Sieber, Jan 1 Singh, Thounaojam Umeshkanta 1 Smug, Damian 1 Sornette, Didier 1 Suris, Yuri Borisovich 1 Tarasov, Vasily E. 1 Turaev, Dmitry V. 1 Wang, Zaihua 1 Willeboordse, Frederick H. 1 Xia, Yibo 1 Xing, Chengyue 1 Yanchuk, Sergiĭ Volodymyrovych 1 Yang, Shi-Xi 1 Zaslavskiĭ, Georgiĭ Moiseevich 1 Zhang, Peilin 1 Zhang, Zhengdi 1 Zheng, YuanGuang 1 Zheng, Zhigang all top 5 Cited in 24 Serials 9 Chaos 6 Physica D 4 Nonlinearity 4 Journal of Nonlinear Science 3 Chaos, Solitons and Fractals 2 Communications in Mathematical Physics 2 Theoretical and Mathematical Physics 2 Annales de l’Institut Fourier 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Physics 1 Journal of Differential Equations 1 Transactions of the American Mathematical Society 1 Journal of Difference Equations and Applications 1 Nonlinear Dynamics 1 Discrete Dynamics in Nature and Society 1 Regular and Chaotic Dynamics 1 Communications in Nonlinear Science and Numerical Simulation 1 SIAM Journal on Applied Dynamical Systems 1 Journal of Statistical Mechanics: Theory and Experiment 1 Acta Mechanica Sinica 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Science China. Technological Sciences 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 23 Fields 29 Dynamical systems and ergodic theory (37-XX) 21 Ordinary differential equations (34-XX) 12 Difference and functional equations (39-XX) 9 Mechanics of particles and systems (70-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Partial differential equations (35-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Biology and other natural sciences (92-XX) 2 Operator theory (47-XX) 2 Numerical analysis (65-XX) 2 Fluid mechanics (76-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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