Edit Profile (opens in new tab) Wagener, Florian Co-Author Distance Author ID: wagener.florian Published as: Wagener, Florian; Wagener, F. O. O.; Wagener, Florian O. O.; Wagener, Foo; Wagener, F. more...less External Links: ORCID Documents Indexed: 38 Publications since 1995, including 1 Book and 1 Additional arXiv Preprint 3 Contributions as Editor · 1 Further Contribution Co-Authors: 25 Co-Authors with 30 Joint Publications 564 Co-Co-Authors all top 5 Co-Authors 11 single-authored 8 Broer, Henk W. 5 Hanßmann, Heinz 4 Hommes, Cars H. 3 Diks, Cees G. H. 3 Kiseleva, Tatiana 3 Smrkolj, Grega 2 Brock, William A.“Buz” 2 Gaunersdorfer, Andrea 2 Hinloopen, Jeroen 2 Jorba, Àngel 2 Roussarie, Robert 2 Saleh, Khairul 2 Sorger, Gerhard 2 Takens, Floris 2 Villanueva, Jordi 1 Altaghlibi, Moutaz 1 Bullard, James 1 Dockner, Engelbert J. 1 Feichtinger, Gustav 1 Fruchter, Gila E. 1 Gardini, Laura 1 Grass, Dieter 1 Jørgensen, Steffen 1 Kubin, Ingrid 1 Long, Ngo Van 1 Naudot, Vincent 1 Neck, Reinhard 1 Nishimura, Kazuo 1 Takahashi, Harutaka 1 Thuijsman, Frank 1 Tramontana, Fabio 1 Tuinstra, Jan 1 Wirl, Franz all top 5 Serials 8 Journal of Economic Dynamics & Control 3 Nonlinearity 3 Journal of Optimization Theory and Applications 2 Indagationes Mathematicae. New Series 2 Economic Theory 2 Regular and Chaotic Dynamics 2 Communications in Nonlinear Science and Numerical Simulation 2 Dynamic Games and Applications 1 Archive for Rational Mechanics and Analysis 1 Applied Mathematics and Computation 1 Journal of Differential Equations 1 Journal of Mathematical Economics 1 Mathematics of Operations Research 1 Physica D 1 Resenhas do Instituto do Matemática e Estatística da Universidade de São Paulo 1 Dynamical Systems 1 Computational Management Science 1 International Journal of Applied Mathematics and Statistics 1 Annals of the International Society of Dynamic Games 1 Discrete and Continuous Dynamical Systems. Series S all top 5 Fields 19 Dynamical systems and ergodic theory (37-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Ordinary differential equations (34-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Mechanics of particles and systems (70-XX) 4 General and overarching topics; collections (00-XX) 2 Probability theory and stochastic processes (60-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 344 times in 239 Documents Cited by ▼ Year ▼ Skiba points and heteroclinic bifurcations, with applications to the shallow lake system. Zbl 1178.91031 Wagener, F. O. O. 49 2003 Evolutionary dynamics in markets with many trader types. Zbl 1118.91048 Brock, William A.; Hommes, Cars H.; Wagener, Florian O. O. 39 2005 More hedging instruments may destabilize markets. Zbl 1178.91062 Brock, W. A.; Hommes, C. H.; Wagener, F. O. O. 29 2009 Normal-internal resonances in quasi-periodically forced oscillators: a conservative approach. Zbl 1049.34044 Broer, Henk; Hanßmann, Heinz; Jorba, Ángel; Villanueva, Jordi; Wagener, Florian 25 2003 Bifurcations of optimal vector fields in the shallow lake model. Zbl 1202.91249 Kiseleva, Tatiana; Wagener, F. O. O. 23 2010 Markov perfect Nash equilibria in models with a single capital stock. Zbl 1304.91036 Dockner, Engelbert; Wagener, Florian 19 2014 A note on Gevrey regular KAM theory and the inverse approximation lemma. Zbl 1036.37022 Wagener, Florian 17 2003 A parametrised version of Moser’s modifying terms theorem. Zbl 1214.37023 Wagener, Florian 15 2010 Organising centres in the semi-global analysis of dynamical systems. Zbl 1211.37020 Broer, H. W.; Naudot, V.; Roussarie, R.; Saleh, K.; Wagener, F. O. O. 10 2007 Resonances in skew and reducible quasi-periodic Hopf bifurcations. Zbl 0989.37017 Takens, F.; Wagener, F. O. O. 10 2000 A bifurcation theory for a class of discrete time Markovian stochastic systems. Zbl 1167.37028 Diks, C. G. H.; Wagener, F. O. O. 9 2008 From mind to market: a global, dynamic analysis of R&D. Zbl 1402.91322 Hinloopen, Jeroen; Smrkolj, Grega; Wagener, Florian 9 2013 On learning equilibria. Zbl 1276.91077 Tuinstra, Jan; Wagener, Florian O. O. 8 2007 Skiba points for small discount rates. Zbl 1181.49028 Wagener, F. O. O. 7 2006 Semi-global analysis of periodic and quasi-periodic normal-internal \(k : 1\) and \(k : 2\) resonances. Zbl 1207.34047 Saleh, K.; Wagener, Foo 7 2010 On the quasi-periodic \(d\)-fold degenerate bifurcation. Zbl 1080.37065 Wagener, Florian 6 2005 Consistency of linear forecasts in a nonlinear stochastic economy. Zbl 1296.91196 Hommes, Cars; Sorger, Gerhard; Wagener, Florian 6 2013 Bifurcations of optimal vector fields. Zbl 1371.37100 Kiseleva, Tatiana; Wagener, Florian 6 2015 Dynamic R&D with spillovers: a comment. Zbl 1401.91045 Smrkolj, Grega; Wagener, Florian 6 2016 Persistence properties of normally hyperbolic Tori. Zbl 1400.37067 Broer, Henk; Hanßmann, Heinz; Wagener, Florian 6 2018 Quasi-periodic stability of subfamilies of an unfolded skew Hopf bifurcation. Zbl 0957.37042 Broer, H. W.; Wagener, F. O. O. 5 2000 Semi-local analysis of the \(k:1\) and \(k:2\) resonances in quasi-periodically forced systems. Zbl 0998.37010 Wagener, Florian 5 2001 Integrable and non-integrable deformations of the skew Hopf bifurcation. Zbl 1012.37031 Broer, H. W.; Takens, F.; Wagener, F. O. O. 5 1999 A study of the Bogdanov-Takens bifurcation. Zbl 0848.34022 Roussarie, R.; Wagener, F. 4 1995 On the Leitmann equivalent problem approach. Zbl 1178.49027 Wagener, F. O. O. 4 2009 Phenomenological and ratio bifurcations of a class of discrete time stochastic processes. Zbl 1243.37046 Diks, C. G. H.; Wagener, F. O. O. 3 2011 On the skew Hopf bifurcation. Zbl 0929.34033 Wagener, Florian O. O. 3 1998 Research and development cooperatives and market collusion: a global dynamic approach. Zbl 1412.91063 Hinloopen, Jeroen; Smrkolj, Grega; Wagener, Florian 3 2017 Normal resonances in a double Hopf bifurcation. Zbl 1461.37051 Broer, Henk; Hanßmann, Heinz; Wagener, Florian 2 2021 Avoiding an ecological regime shift is sound economic policy. Zbl 1402.91549 Heijnen, P.; Wagener, F. O. O. 2 2013 Small-noise asymptotics of Hamilton-Jacobi-Bellman equations and bifurcations of stochastic optimal control problems. Zbl 1334.93181 Grass, Dieter; Kiseleva, Tatiana; Wagener, Florian 1 2015 Foreword to the special issue on “Dynamic models in economics and finance”. Zbl 07263302 1 2018 Normal resonances in a double Hopf bifurcation. Zbl 1461.37051 Broer, Henk; Hanßmann, Heinz; Wagener, Florian 2 2021 Persistence properties of normally hyperbolic Tori. Zbl 1400.37067 Broer, Henk; Hanßmann, Heinz; Wagener, Florian 6 2018 Foreword to the special issue on “Dynamic models in economics and finance”. Zbl 07263302 1 2018 Research and development cooperatives and market collusion: a global dynamic approach. Zbl 1412.91063 Hinloopen, Jeroen; Smrkolj, Grega; Wagener, Florian 3 2017 Dynamic R&D with spillovers: a comment. Zbl 1401.91045 Smrkolj, Grega; Wagener, Florian 6 2016 Bifurcations of optimal vector fields. Zbl 1371.37100 Kiseleva, Tatiana; Wagener, Florian 6 2015 Small-noise asymptotics of Hamilton-Jacobi-Bellman equations and bifurcations of stochastic optimal control problems. Zbl 1334.93181 Grass, Dieter; Kiseleva, Tatiana; Wagener, Florian 1 2015 Markov perfect Nash equilibria in models with a single capital stock. Zbl 1304.91036 Dockner, Engelbert; Wagener, Florian 19 2014 From mind to market: a global, dynamic analysis of R&D. Zbl 1402.91322 Hinloopen, Jeroen; Smrkolj, Grega; Wagener, Florian 9 2013 Consistency of linear forecasts in a nonlinear stochastic economy. Zbl 1296.91196 Hommes, Cars; Sorger, Gerhard; Wagener, Florian 6 2013 Avoiding an ecological regime shift is sound economic policy. Zbl 1402.91549 Heijnen, P.; Wagener, F. O. O. 2 2013 Phenomenological and ratio bifurcations of a class of discrete time stochastic processes. Zbl 1243.37046 Diks, C. G. H.; Wagener, F. O. O. 3 2011 Bifurcations of optimal vector fields in the shallow lake model. Zbl 1202.91249 Kiseleva, Tatiana; Wagener, F. O. O. 23 2010 A parametrised version of Moser’s modifying terms theorem. Zbl 1214.37023 Wagener, Florian 15 2010 Semi-global analysis of periodic and quasi-periodic normal-internal \(k : 1\) and \(k : 2\) resonances. Zbl 1207.34047 Saleh, K.; Wagener, Foo 7 2010 More hedging instruments may destabilize markets. Zbl 1178.91062 Brock, W. A.; Hommes, C. H.; Wagener, F. O. O. 29 2009 On the Leitmann equivalent problem approach. Zbl 1178.49027 Wagener, F. O. O. 4 2009 A bifurcation theory for a class of discrete time Markovian stochastic systems. Zbl 1167.37028 Diks, C. G. H.; Wagener, F. O. O. 9 2008 Organising centres in the semi-global analysis of dynamical systems. Zbl 1211.37020 Broer, H. W.; Naudot, V.; Roussarie, R.; Saleh, K.; Wagener, F. O. O. 10 2007 On learning equilibria. Zbl 1276.91077 Tuinstra, Jan; Wagener, Florian O. O. 8 2007 Skiba points for small discount rates. Zbl 1181.49028 Wagener, F. O. O. 7 2006 Evolutionary dynamics in markets with many trader types. Zbl 1118.91048 Brock, William A.; Hommes, Cars H.; Wagener, Florian O. O. 39 2005 On the quasi-periodic \(d\)-fold degenerate bifurcation. Zbl 1080.37065 Wagener, Florian 6 2005 Skiba points and heteroclinic bifurcations, with applications to the shallow lake system. Zbl 1178.91031 Wagener, F. O. O. 49 2003 Normal-internal resonances in quasi-periodically forced oscillators: a conservative approach. Zbl 1049.34044 Broer, Henk; Hanßmann, Heinz; Jorba, Ángel; Villanueva, Jordi; Wagener, Florian 25 2003 A note on Gevrey regular KAM theory and the inverse approximation lemma. Zbl 1036.37022 Wagener, Florian 17 2003 Semi-local analysis of the \(k:1\) and \(k:2\) resonances in quasi-periodically forced systems. Zbl 0998.37010 Wagener, Florian 5 2001 Resonances in skew and reducible quasi-periodic Hopf bifurcations. Zbl 0989.37017 Takens, F.; Wagener, F. O. O. 10 2000 Quasi-periodic stability of subfamilies of an unfolded skew Hopf bifurcation. Zbl 0957.37042 Broer, H. W.; Wagener, F. O. O. 5 2000 Integrable and non-integrable deformations of the skew Hopf bifurcation. Zbl 1012.37031 Broer, H. W.; Takens, F.; Wagener, F. O. O. 5 1999 On the skew Hopf bifurcation. Zbl 0929.34033 Wagener, Florian O. O. 3 1998 A study of the Bogdanov-Takens bifurcation. Zbl 0848.34022 Roussarie, R.; Wagener, F. 4 1995 all cited Publications top 5 cited Publications all top 5 Cited by 321 Authors 18 Broer, Henk W. 15 Wagener, Florian 14 Feichtinger, Gustav 12 Grass, Dieter 11 Hanßmann, Heinz 11 Kort, Peter M. 10 Seidl, Andrea 9 Caulkins, Jonathan P. 9 Westerhoff, Frank H. 8 Hartl, Richard F. 7 Xu, Junxiang 7 Zhang, Dongfeng 6 Hommes, Cars H. 5 Anufriev, Mikhail 5 Evstigneev, Igor V. 5 Hens, Thorsten 5 Sevryuk, Mikhail Borisovich 5 Si, Wen 4 Bondarev, Anton 4 Haro, Àlex 4 Inaba, Naohiko 4 Kiseleva, Tatiana 4 Si, Jianguo 4 Wrzaczek, Stefan 3 Amir, Rabah 3 Bottazzi, Giulio 3 Branch, William A. 3 Dawid, Herbert 3 Engwerda, Jacob Christiaan 3 Evans, George W. II 3 Gentile, Guido 3 Kamiyama, Kyohei 3 Marsili, Matteo 3 McGough, Bruce 3 Reddy, Puduru Viswanadha 3 Schenk-Hoppé, Klaus Reiner 3 Schmitt, Noemi 3 Schumacher, Johannes M. 3 Sekikawa, Munehisa 3 Simó, Carles 3 Tragler, Gernot 3 Tramontana, Fabio 3 Vegter, Gert 3 Vitolo, Renato 3 Wirl, Franz 2 Agliari, Anna 2 Alonso, Diego M. 2 Bäcker, Arnd 2 Bartaloni, Francesco 2 Battiston, Stefano 2 Belkov, Sergei 2 Colombo, Luca 2 Coqueret, Guillaume 2 De Zeeuw, Aart J. 2 Dechert, W. Davis 2 Dieci, Roberto 2 Diks, Cees G. H. 2 El Ouardighi, Fouad 2 Endo, Tetsuro 2 Foster, Andrew D. 2 Hinloopen, Jeroen 2 Holtman, Sijbo J. 2 Ketzmerick, Roland 2 Kirby, Natasha 2 Kuznetsov, Yuri Alexandrovich 2 Labrecciosa, Paola 2 Lange, Steffen 2 Lillo, Fabrizio 2 Liu, Yang 2 Liu, Zhiying 2 Malinowska, Agnieszka Barbara 2 Marmi, Stefano 2 Massetti, Jessica Elisa 2 Moiola, Jorge Luis 2 Moser, Elke 2 Naimzada, Ahmad K. 2 O’Donnell, S. I. 2 Onken, Franziska 2 Pecora, Nicolò 2 Plexousakis, Michael 2 Revel, Gustavo 2 Rosser, John Barkley jun. 2 Smrkolj, Grega 2 Torres, Delfim Fernando Marado 2 Xepapadeas, Anastasios 2 Xu, Kaifei 2 You, Jiangong 2 Zhu, Mei 1 Abraham, Ralph Herman 1 Aihara, Kazuyuki 1 Antoci, Angelo 1 Arifovic, Jasmina 1 Asheim, Geir B. 1 Banerjee, Kuntal 1 Bartuccelli, Michele V. 1 Benchekroun, Hassan 1 Bodnar, Marek 1 Bramati, Maria Caterina 1 Brock, William A.“Buz” 1 Caccioli, Fabio ...and 221 more Authors all top 5 Cited in 79 Serials 50 Journal of Economic Dynamics & Control 11 Journal of Differential Equations 11 Journal of Optimization Theory and Applications 10 Economic Theory 9 Journal of Mathematical Economics 9 Physica D 8 Regular and Chaotic Dynamics 8 Dynamic Games and Applications 7 Journal of Economic Theory 5 Applied Mathematics and Computation 5 Indagationes Mathematicae. New Series 5 Journal of Difference Equations and Applications 4 Acta Applicandae Mathematicae 4 Chaos 4 Discrete Dynamics in Nature and Society 3 Economics Letters 3 Quantitative Finance 3 Journal of Industrial and Management Optimization 2 Nonlinearity 2 Mathematics of Operations Research 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Ergodic Theory and Dynamical Systems 2 Annals of Operations Research 2 European Journal of Operational Research 2 Computational Economics 2 Macroeconomic Dynamics 2 CEJOR. Central European Journal of Operations Research 2 Qualitative Theory of Dynamical Systems 2 Dynamical Systems 2 Decisions in Economics and Finance 2 SIAM Journal on Applied Dynamical Systems 1 Communications in Mathematical Physics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Physics Letters. A 1 Bulletin of Mathematical Biology 1 Reviews in Mathematical Physics 1 Archivum Mathematicum 1 Automatica 1 Journal of Environmental Economics and Management 1 Memoirs of the American Mathematical Society 1 Metroeconomica 1 Operations Research 1 Opsearch 1 Quarterly of Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Operations Research Letters 1 Applied Mathematics and Mechanics. (English Edition) 1 Mathematical and Computer Modelling 1 Neural Computation 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 Nonlinear Dynamics 1 New Journal of Physics 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 International Game Theory Review 1 Far East Journal of Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Advanced Nonlinear Studies 1 OR Spectrum 1 Communications on Pure and Applied Analysis 1 Computational Management Science 1 Advances in Difference Equations 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Biological Dynamics 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Mathematics and Financial Economics 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis & PDE 1 Annals of Finance 1 Statistics & Risk Modeling 1 Journal of Dynamics and Games 1 Economic Theory Bulletin all top 5 Cited in 26 Fields 146 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 76 Dynamical systems and ergodic theory (37-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 35 Ordinary differential equations (34-XX) 33 Mechanics of particles and systems (70-XX) 16 Operations research, mathematical programming (90-XX) 12 Systems theory; control (93-XX) 11 Biology and other natural sciences (92-XX) 8 Numerical analysis (65-XX) 5 Partial differential equations (35-XX) 5 Difference and functional equations (39-XX) 5 Probability theory and stochastic processes (60-XX) 5 Computer science (68-XX) 4 Statistics (62-XX) 3 Operator theory (47-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Information and communication theory, circuits (94-XX) 2 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year