Edit Profile (opens in new tab) Takens, Floris Compute Distance To: Compute Author ID: takens.floris Published as: Takens, Floris; Takens, F. External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 111 Publications since 1967, including 6 Books 7 Contributions as Editor Biographic References: 4 Publications Co-Authors: 45 Co-Authors with 50 Joint Publications 844 Co-Co-Authors all top 5 Co-Authors 65 single-authored 16 Broer, Henk W. 8 Palis, Jacob jun. 5 Verbitski, Evgeny 3 Newhouse, Sheldon E. 3 Ruelle, David Pierre 2 Braaksma, Boele L. J. 2 Dumortier, Freddy 2 Hasselblatt, Boris 2 Pacifico, Maria José 2 Wagener, Florian 1 Bakker, R. R. 1 Bamón, Rodrigo 1 Banchoff, Thomas F. 1 Booij, Leo H. D. J. 1 Coenen, Anton M. L. 1 Cushman, Richard H. 1 de Korte, R. J. 1 de la Harpe, Pierre 1 DeGoede, Jacob 1 Fassò, Francesco 1 Hoveijn, Igor 1 Huitema, G. B. 1 Klingenberg, Wilhelm P. A. 1 Looijenga, Eduard J. N. 1 Lukina, Olga 1 Maes, Christian 1 Malta, Iaci 1 Posthumus, Rense A. 1 Redig, Frank 1 Schouten, J. C. 1 Siersma, Dirk 1 Stoyanov, Luchezar N. 1 Tavares Camacho, Maria Isabel 1 Van de Craats, Jan 1 van den Bleek, C. M. 1 van den Broek, Philip L. C. 1 van Egmond, Jan 1 van Gils, Stephan A. 1 Van Moffaert, Annelies 1 van Rijn, Clementina M. 1 van Strien, Sebastian J. 1 Vanderbauwhede, Andre L. 1 Verbitskij, E. A. 1 Verbitskiy, Evgeny A. 1 White, James H. all top 5 Serials 5 Ergodic Theory and Dynamical Systems 4 Communications in Mathematical Physics 4 Nonlinearity 4 Inventiones Mathematicae 3 Boletim da Sociedade Brasileira de Matemática 3 Mathematische Annalen 3 Topology 3 Boletim da Sociedade Brasileira de Matemática. Nova Série 3 Regular and Chaotic Dynamics 3 Nieuw Archief voor Wiskunde. Vijfde Serie 2 Compositio Mathematica 2 Publications Mathématiques 2 Physica D 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Annals of Mathematics. Second Series 2 Lecture Notes in Mathematics 2 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae 1 Archive for Rational Mechanics and Analysis 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematical Notes 1 Periodica Mathematica Hungarica 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Fundamenta Mathematicae 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Journal of Differential Geometry 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Topology and its Applications 1 Mitteilungen der Mathematischen Gesellschaft in Hamburg 1 Nieuw Archief voor Wiskunde. Derde Serie 1 Bulletin de la Société Mathématique de Belgique. Série A 1 Nieuw Archief voor Wiskunde. Vierde Serie 1 Fractals 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Bulletin of the American Mathematical Society 1 Applied Mathematical Sciences 1 Cambridge Studies in Advanced Mathematics 1 Epsilon Uitgaven 1 Progress in Nonlinear Differential Equations and Their Applications all top 5 Fields 86 Dynamical systems and ergodic theory (37-XX) 23 Global analysis, analysis on manifolds (58-XX) 18 Ordinary differential equations (34-XX) 11 Manifolds and cell complexes (57-XX) 10 General and overarching topics; collections (00-XX) 6 Differential geometry (53-XX) 6 General topology (54-XX) 5 Measure and integration (28-XX) 5 Mechanics of particles and systems (70-XX) 4 History and biography (01-XX) 4 Statistics (62-XX) 4 Fluid mechanics (76-XX) 2 Partial differential equations (35-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Operator theory (47-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 90 Publications have been cited 2,954 times in 2,459 Documents Cited by ▼ Year ▼ On the nature of turbulence. Zbl 0223.76041Ruelle, David; Takens, Floris 473 1971 Detecting strange attractors in turbulence. Zbl 0513.58032Takens, Floris 375 1981 Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations. Fractal dimensions and infinitely many attractors. Zbl 0790.58014Palis, Jacob; Takens, Floris 283 1993 Singularities of vector fields. Zbl 0279.58009Takens, Floris 280 1973 Bifurcations and stability of families of diffeomorphisms. Zbl 0518.58031Newhouse, S.; Palis, J.; Takens, F. 148 1983 Occurrence of strange Axiom A attractors near quasi periodic flows on \(T^m\), \(m\geq 3\). Zbl 0396.58029Newhouse, S.; Ruelle, D.; Takens, F. 124 1978 Note concerning our paper ”On the nature of turbulence”. Commun. math. Phys. 20, 167-192 (1971). Zbl 0227.76084Ruelle, D.; Takens, F. 113 1971 Normal forms for certain singularities of vectorfields. Zbl 0266.34046Takens, Floris 92 1973 Unfoldings and bifurcations of quasi-periodic tori. Zbl 0717.58043Broer, H. W.; Huitema, G. B.; Takens, F.; Braaksma, B. L. J. 77 1990 On the variational principle for the topological entropy of certain non-compact sets. Zbl 1042.37020Takens, Floris; Verbitskiy, Evgeny 70 2003 Unfoldings of certain singularities of vectorfields: Generalized Hopf bifurcations. Zbl 0273.35009Takens, Floris 65 1973 A global version of the inverse problem of the calculus of variations. Zbl 0463.58015Takens, Floris 62 1979 Partially hyperbolic fixed points. Zbl 0214.22901Takens, F. 60 1971 Forced oscillations and bifurcations. Zbl 1156.37315Takens, Floris 51 2001 Hyperbolicity and the creation of homoclinic orbits. Zbl 0641.58029Palis, J.; Takens, F. 43 1987 Multifractal analysis of local entropies for expansive homeomorphisms with specification. Zbl 0955.37002Takens, Floris; Verbitski, Evgeny 35 1999 Orbits with historic behaviour, or nonexistence of averages. Zbl 1147.37013Takens, Floris 30 2008 Heteroclinic attractors: Time averages and moduli of topological conjugacy. Zbl 0801.58030Takens, Floris 29 1994 Topological equivalence of normally hyperbolic dynamical systems. Zbl 0391.58015Palis, J.; Takens, F. 28 1977 Generic properties of geodesic flows. Zbl 0225.58006Klingenberg, W.; Takens, F. 27 1972 The minimal number of critical points of a function on a compact manifold and the Lusternik-Schnirelman category. Zbl 0198.56603Takens, F. 25 1968 Dynamical systems and chaos. Zbl 1218.37001Broer, Henk; Takens, Floris 23 2011 Homoclinic points in conservative systems. Zbl 0247.58007Takens, Floris 23 1972 Some remarks on the Böhme-Berger bifurcation theorem. Zbl 0237.47032Takens, Floris 21 1972 Structures in dynamics: finite dimensional deterministic studies. Zbl 0746.58002Broer, H. W.; Dumortier, F.; van Strien, S. J.; Takens, F. 18 1991 Derivations of vector fields. Zbl 0258.58005Takens, Floris 17 1973 Constrained equations; a study of implicit differential equations and their discontinuous solutions. Zbl 0386.34003Takens, Floris 15 1976 Generalized entropies: Rényi and correlation integral approach. Zbl 0943.37004Takens, Floris; Verbitski, Evgeny 15 1998 Stable arcs of diffeomorphisms. Zbl 0339.58008Newhouse, Sheldon; Palis, Jacob; Takens, Floris 14 1976 Cycles and measure of bifurcation sets for two-dimensional diffeomorphisms. Zbl 0579.58005Palis, J.; Takens, F. 14 1985 Moduli and bifurcations: non-transversal intersections of invariant manifolds of vectorfields. Zbl 0473.58018Takens, Floris 14 1980 Limit capacity and Hausdorff dimension of dynamically defined Cantor sets. Zbl 0661.58024Takens, Floris 13 1988 Stability of parametrized families of gradient vector fields. Zbl 0533.58018Palis, J.; Takens, F. 12 1983 On the numerical determination of the dimension of an attractor. Zbl 0561.58027Takens, Floris 11 1985 Hamiltonian systems: Generic properties of closed orbits and local perturbations. Zbl 0191.21602Takens, Floris 11 1970 Resonances in skew and reducible quasi-periodic Hopf bifurcations. Zbl 0989.37017Takens, F.; Wagener, F. O. O. 10 2000 Formally symmetric normal forms and genericity. Zbl 0704.58047Broer, H. W.; Takens, F. 10 1989 The Lusternik-Schnirelman categories of a product space. Zbl 0198.28302Takens, F. 10 1970 Global phenomena in bifurcations of dynamical systems with simple recurrence. Zbl 0419.58012Takens, F. 8 1979 Rotation intervals of endomorphisms of the circle. Zbl 0605.58027Bamon, R.; Malta, I. P.; Pacifico, M. J.; Takens, F. 8 1984 On Zeeman’s tolerance stability conjecture. Zbl 0217.48303Takens, F. 8 1971 A note on sufficiency of jets. Zbl 0231.58008Takens, Floris 8 1971 Characterization of a differentiable structure by its group of diffeomorphisms. Zbl 0447.58002Takens, Floris 8 1979 Detecting nonlinearities in stationary time series. Zbl 0871.62078Takens, Floris 8 1993 Geometry of KAM tori for nearly integrable Hamiltonian systems. Zbl 1131.37057Broer, Henk; Cushman, Richard; Fassó, Francesco; Takens, Floris 8 2007 Dynamical systems and chaos. Zbl 1283.37001Broer, Henk; Takens, Floris 7 2009 Transitions from periodic to strange attractors in constrained equations. Zbl 0637.58018Takens, F. 7 1987 Distinguishing deterministic and random systems. Zbl 0532.58017Takens, F. 7 1983 Symmetries, conservation laws and variational principles. Zbl 0368.49019Takens, Floris 6 1977 Intermittency and weak Gibbs states. Zbl 1005.37007Maes, Christian; Redig, Frank; Takens, Floris; van Moffaert, Annelies; Verbitski, Evgeny 6 2000 General multifractal analysis of local entropies. Zbl 0964.37012Takens, Floris; Verbitski, Evgeny 6 2000 Multiplications in solenoids as hyperbolic attractors. Zbl 1074.37019Takens, Floris 6 2005 Abundance of generic homoclinic tangencies in real-analytic families of diffeomorphisms. Zbl 0772.58037Takens, Floris 6 1992 Constrained differential equations. Zbl 0331.34001Takens, Floris 5 1975 Mechanical and gradient systems; local perturbations and generic properties. Zbl 0572.58008Takens, Floris 5 1983 Integrable and non-integrable deformations of the skew Hopf bifurcation. Zbl 1012.37031Broer, H. W.; Takens, F.; Wagener, F. O. O. 5 1999 A \(C^ i\) counterexample to Moser’s twist theorem. Zbl 0235.58009Takens, Floris 5 1971 Preliminaries of dynamical systems theory. Zbl 1241.37004Broer, H. W.; Takens, F. 5 2010 Unicity of KAM tori. Zbl 1130.37376Broer, Henk; Takens, Floris 5 2007 Tolerance stability. Zbl 0321.54022Takens, Floris 4 1975 Vector fields with no nonwandering points. Zbl 0339.58009Takens, Floris; White, Warren 4 1976 The reconstruction theorem for endomorphisms. Zbl 1032.37012Takens, Floris 4 2002 Singularities of functions and vectorfields. Zbl 0237.58012Takens, Floris 4 1972 Motion under the influence of a strong constraining force. Zbl 0458.58010Takens, Floris 4 1980 Reconstruction theory and nonlinear time series analysis. Zbl 1260.37057Takens, Floris 4 2010 Global properties of integrable Hamiltonian systems. Zbl 1229.37052Lukina, O. V.; Takens, F.; Broer, H. W. 4 2008 Mixed spectra and rotational symmetry. Zbl 0789.58050Broer, Henk; Takens, Floris 4 1993 Implicit differential equations; some open problems. Zbl 0354.34017Takens, Floris 3 1976 Homoclinic bifurcations and hyperbolic dynamics. 16th Brazilian colloquium on mathematics (16e colóquio Brasileiro de matemática), held in Rio de Janeiro, Brasil 1987. Zbl 0696.58001Palis, Jacob jun.; Takens, Floris 3 1987 A non-stabilizable jet of a singularity of a vector field; the analytic case. Zbl 0569.58003Takens, Floris 3 1984 Rényi entropies of aperiodic dynamical systems. Zbl 1044.37005Takens, Floris; Verbitskiy, Evgeny 3 2002 Multifractal analysis of dimensions and entropies. Zbl 0970.37002Takens, F.; Verbitski, E. 3 2000 Height functions on surfaces with three critical points. Zbl 0311.57022Banchoff, Thomas; Takens, Floris 3 1975 Geometric aspects of non-linear R.L.C. networks. Zbl 0335.34025Takens, Floris 2 1975 Characterization of compactness for symplectic manifolds. Zbl 0378.58004Dumortier, F.; Takens, F. 2 1973 Handbook of dynamical systems. Volume 3. Zbl 1216.37002 2 2010 Moduli of singularities of vector fields. Zbl 0526.58037Takens, Floris 2 1984 Dynamical systems and bifurcations. Proceedings of a Workshop held in Groningen, The Netherlands, April 16-20, 1984. Zbl 0552.00007 2 1985 Homoclinic tangencies: Moduli and topology of separatrices. Zbl 0783.58051Posthumus, Rense A.; Takens, Floris 2 1993 Morse theory of double normals of immersions. Zbl 0228.58007Takens, Floris; White, James 2 1971 A nonstabilizable jet of a singularity of a vector field. Zbl 0283.58009Takens, Floris 2 1973 Local invariant manifolds and normal forms. Zbl 1248.37005Takens, Floris; Vanderbauwhede, André 2 2010 Symmetries, conservation laws and symplectic structures; elementary systems. Zbl 0417.70007Takens, F. 1 1979 Singularities of gradient vector fields and moduli. Zbl 0614.58033Takens, Floris 1 1985 Nonlinear dynamical systems and chaos. Proceedings of the dynamical systems conference, held at the University of Groningen, Netherlands in Dec. 1995, in honour of Johann Bernoulli. Zbl 0830.00032 1 1996 Geometry Symposium, Utrecht 1980. Proceedings of a Symposium Held at the University of Utrecht, The Netherlands, August 27-29, 1980. Zbl 0465.00016 1 1981 Handbook of dynamical systems. Volume 3. Reprint of the 2010 hardback edition. Zbl 1349.37002 1 2016 Neural networks for prediction and control of chaotic fluidized bed hydrodynamics: A first step. Zbl 0907.76069Bakker, R.; de Korte, R. J.; Schouten, J. C.; van den Bleek, C. M.; Takens, F. 1 1997 Generalized entropies. Zbl 0929.37001Verbitskij, E. A.; Takens, F. 1 1998 Reduction entropy. Zbl 0885.58041Takens, Floris 1 1995 Handbook of dynamical systems. Volume 3. Reprint of the 2010 hardback edition. Zbl 1349.37002 1 2016 Dynamical systems and chaos. Zbl 1218.37001Broer, Henk; Takens, Floris 23 2011 Preliminaries of dynamical systems theory. Zbl 1241.37004Broer, H. W.; Takens, F. 5 2010 Reconstruction theory and nonlinear time series analysis. Zbl 1260.37057Takens, Floris 4 2010 Handbook of dynamical systems. Volume 3. Zbl 1216.37002 2 2010 Local invariant manifolds and normal forms. Zbl 1248.37005Takens, Floris; Vanderbauwhede, André 2 2010 Dynamical systems and chaos. Zbl 1283.37001Broer, Henk; Takens, Floris 7 2009 Orbits with historic behaviour, or nonexistence of averages. Zbl 1147.37013Takens, Floris 30 2008 Global properties of integrable Hamiltonian systems. Zbl 1229.37052Lukina, O. V.; Takens, F.; Broer, H. W. 4 2008 Geometry of KAM tori for nearly integrable Hamiltonian systems. Zbl 1131.37057Broer, Henk; Cushman, Richard; Fassó, Francesco; Takens, Floris 8 2007 Unicity of KAM tori. Zbl 1130.37376Broer, Henk; Takens, Floris 5 2007 Multiplications in solenoids as hyperbolic attractors. Zbl 1074.37019Takens, Floris 6 2005 On the variational principle for the topological entropy of certain non-compact sets. Zbl 1042.37020Takens, Floris; Verbitskiy, Evgeny 70 2003 The reconstruction theorem for endomorphisms. Zbl 1032.37012Takens, Floris 4 2002 Rényi entropies of aperiodic dynamical systems. Zbl 1044.37005Takens, Floris; Verbitskiy, Evgeny 3 2002 Forced oscillations and bifurcations. Zbl 1156.37315Takens, Floris 51 2001 Resonances in skew and reducible quasi-periodic Hopf bifurcations. Zbl 0989.37017Takens, F.; Wagener, F. O. O. 10 2000 Intermittency and weak Gibbs states. Zbl 1005.37007Maes, Christian; Redig, Frank; Takens, Floris; van Moffaert, Annelies; Verbitski, Evgeny 6 2000 General multifractal analysis of local entropies. Zbl 0964.37012Takens, Floris; Verbitski, Evgeny 6 2000 Multifractal analysis of dimensions and entropies. Zbl 0970.37002Takens, F.; Verbitski, E. 3 2000 Multifractal analysis of local entropies for expansive homeomorphisms with specification. Zbl 0955.37002Takens, Floris; Verbitski, Evgeny 35 1999 Integrable and non-integrable deformations of the skew Hopf bifurcation. Zbl 1012.37031Broer, H. W.; Takens, F.; Wagener, F. O. O. 5 1999 Generalized entropies: Rényi and correlation integral approach. Zbl 0943.37004Takens, Floris; Verbitski, Evgeny 15 1998 Generalized entropies. Zbl 0929.37001Verbitskij, E. A.; Takens, F. 1 1998 Neural networks for prediction and control of chaotic fluidized bed hydrodynamics: A first step. Zbl 0907.76069Bakker, R.; de Korte, R. J.; Schouten, J. C.; van den Bleek, C. M.; Takens, F. 1 1997 Nonlinear dynamical systems and chaos. Proceedings of the dynamical systems conference, held at the University of Groningen, Netherlands in Dec. 1995, in honour of Johann Bernoulli. Zbl 0830.00032 1 1996 Reduction entropy. Zbl 0885.58041Takens, Floris 1 1995 Heteroclinic attractors: Time averages and moduli of topological conjugacy. Zbl 0801.58030Takens, Floris 29 1994 Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations. Fractal dimensions and infinitely many attractors. Zbl 0790.58014Palis, Jacob; Takens, Floris 283 1993 Detecting nonlinearities in stationary time series. Zbl 0871.62078Takens, Floris 8 1993 Mixed spectra and rotational symmetry. Zbl 0789.58050Broer, Henk; Takens, Floris 4 1993 Homoclinic tangencies: Moduli and topology of separatrices. Zbl 0783.58051Posthumus, Rense A.; Takens, Floris 2 1993 Abundance of generic homoclinic tangencies in real-analytic families of diffeomorphisms. Zbl 0772.58037Takens, Floris 6 1992 Structures in dynamics: finite dimensional deterministic studies. Zbl 0746.58002Broer, H. W.; Dumortier, F.; van Strien, S. J.; Takens, F. 18 1991 Unfoldings and bifurcations of quasi-periodic tori. Zbl 0717.58043Broer, H. W.; Huitema, G. B.; Takens, F.; Braaksma, B. L. J. 77 1990 Formally symmetric normal forms and genericity. Zbl 0704.58047Broer, H. W.; Takens, F. 10 1989 Limit capacity and Hausdorff dimension of dynamically defined Cantor sets. Zbl 0661.58024Takens, Floris 13 1988 Hyperbolicity and the creation of homoclinic orbits. Zbl 0641.58029Palis, J.; Takens, F. 43 1987 Transitions from periodic to strange attractors in constrained equations. Zbl 0637.58018Takens, F. 7 1987 Homoclinic bifurcations and hyperbolic dynamics. 16th Brazilian colloquium on mathematics (16e colóquio Brasileiro de matemática), held in Rio de Janeiro, Brasil 1987. Zbl 0696.58001Palis, Jacob jun.; Takens, Floris 3 1987 Cycles and measure of bifurcation sets for two-dimensional diffeomorphisms. Zbl 0579.58005Palis, J.; Takens, F. 14 1985 On the numerical determination of the dimension of an attractor. Zbl 0561.58027Takens, Floris 11 1985 Dynamical systems and bifurcations. Proceedings of a Workshop held in Groningen, The Netherlands, April 16-20, 1984. Zbl 0552.00007 2 1985 Singularities of gradient vector fields and moduli. Zbl 0614.58033Takens, Floris 1 1985 Rotation intervals of endomorphisms of the circle. Zbl 0605.58027Bamon, R.; Malta, I. P.; Pacifico, M. J.; Takens, F. 8 1984 A non-stabilizable jet of a singularity of a vector field; the analytic case. Zbl 0569.58003Takens, Floris 3 1984 Moduli of singularities of vector fields. Zbl 0526.58037Takens, Floris 2 1984 Bifurcations and stability of families of diffeomorphisms. Zbl 0518.58031Newhouse, S.; Palis, J.; Takens, F. 148 1983 Stability of parametrized families of gradient vector fields. Zbl 0533.58018Palis, J.; Takens, F. 12 1983 Distinguishing deterministic and random systems. Zbl 0532.58017Takens, F. 7 1983 Mechanical and gradient systems; local perturbations and generic properties. Zbl 0572.58008Takens, Floris 5 1983 Detecting strange attractors in turbulence. Zbl 0513.58032Takens, Floris 375 1981 Geometry Symposium, Utrecht 1980. Proceedings of a Symposium Held at the University of Utrecht, The Netherlands, August 27-29, 1980. Zbl 0465.00016 1 1981 Moduli and bifurcations: non-transversal intersections of invariant manifolds of vectorfields. Zbl 0473.58018Takens, Floris 14 1980 Motion under the influence of a strong constraining force. Zbl 0458.58010Takens, Floris 4 1980 A global version of the inverse problem of the calculus of variations. Zbl 0463.58015Takens, Floris 62 1979 Global phenomena in bifurcations of dynamical systems with simple recurrence. Zbl 0419.58012Takens, F. 8 1979 Characterization of a differentiable structure by its group of diffeomorphisms. Zbl 0447.58002Takens, Floris 8 1979 Symmetries, conservation laws and symplectic structures; elementary systems. Zbl 0417.70007Takens, F. 1 1979 Occurrence of strange Axiom A attractors near quasi periodic flows on \(T^m\), \(m\geq 3\). Zbl 0396.58029Newhouse, S.; Ruelle, D.; Takens, F. 124 1978 Topological equivalence of normally hyperbolic dynamical systems. Zbl 0391.58015Palis, J.; Takens, F. 28 1977 Symmetries, conservation laws and variational principles. Zbl 0368.49019Takens, Floris 6 1977 Constrained equations; a study of implicit differential equations and their discontinuous solutions. Zbl 0386.34003Takens, Floris 15 1976 Stable arcs of diffeomorphisms. Zbl 0339.58008Newhouse, Sheldon; Palis, Jacob; Takens, Floris 14 1976 Vector fields with no nonwandering points. Zbl 0339.58009Takens, Floris; White, Warren 4 1976 Implicit differential equations; some open problems. Zbl 0354.34017Takens, Floris 3 1976 Constrained differential equations. Zbl 0331.34001Takens, Floris 5 1975 Tolerance stability. Zbl 0321.54022Takens, Floris 4 1975 Height functions on surfaces with three critical points. Zbl 0311.57022Banchoff, Thomas; Takens, Floris 3 1975 Geometric aspects of non-linear R.L.C. networks. Zbl 0335.34025Takens, Floris 2 1975 Singularities of vector fields. Zbl 0279.58009Takens, Floris 280 1973 Normal forms for certain singularities of vectorfields. Zbl 0266.34046Takens, Floris 92 1973 Unfoldings of certain singularities of vectorfields: Generalized Hopf bifurcations. Zbl 0273.35009Takens, Floris 65 1973 Derivations of vector fields. Zbl 0258.58005Takens, Floris 17 1973 Characterization of compactness for symplectic manifolds. Zbl 0378.58004Dumortier, F.; Takens, F. 2 1973 A nonstabilizable jet of a singularity of a vector field. Zbl 0283.58009Takens, Floris 2 1973 Generic properties of geodesic flows. Zbl 0225.58006Klingenberg, W.; Takens, F. 27 1972 Homoclinic points in conservative systems. Zbl 0247.58007Takens, Floris 23 1972 Some remarks on the Böhme-Berger bifurcation theorem. Zbl 0237.47032Takens, Floris 21 1972 Singularities of functions and vectorfields. Zbl 0237.58012Takens, Floris 4 1972 On the nature of turbulence. Zbl 0223.76041Ruelle, David; Takens, Floris 473 1971 Note concerning our paper ”On the nature of turbulence”. Commun. math. Phys. 20, 167-192 (1971). Zbl 0227.76084Ruelle, D.; Takens, F. 113 1971 Partially hyperbolic fixed points. Zbl 0214.22901Takens, F. 60 1971 On Zeeman’s tolerance stability conjecture. Zbl 0217.48303Takens, F. 8 1971 A note on sufficiency of jets. Zbl 0231.58008Takens, Floris 8 1971 A \(C^ i\) counterexample to Moser’s twist theorem. Zbl 0235.58009Takens, Floris 5 1971 Morse theory of double normals of immersions. Zbl 0228.58007Takens, Floris; White, James 2 1971 Hamiltonian systems: Generic properties of closed orbits and local perturbations. Zbl 0191.21602Takens, Floris 11 1970 The Lusternik-Schnirelman categories of a product space. Zbl 0198.28302Takens, F. 10 1970 The minimal number of critical points of a function on a compact manifold and the Lusternik-Schnirelman category. Zbl 0198.56603Takens, F. 25 1968 all cited Publications top 5 cited Publications all top 5 Cited by 3,243 Authors 35 Broer, Henk W. 21 Yu, Pei 18 Mesón, Alejandro M. 18 Takens, Floris 18 Vericat, Fernando 15 Díaz, Lorenzo Justiniano 15 Hanßmann, Heinz 14 Morales, Carlos Arnoldo 14 Yorke, James Alan 13 Dumortier, Freddy 13 Moreira, Carlos Gustavo Tamm de Araujo 13 Rybicki, Sławomir Maciej 12 Barreira, Luis Manuel 12 Turaev, Dmitry V. 11 Bonatti, Christian 11 Tian, Xueting 10 Gonchenko, Sergey V. 10 Gorodetskii, Anton Semenovich 10 Iooss, Gérard 10 Kiriki, Shin 10 Li, Feng 10 Osinga, Hinke Maria 10 Pacifico, Maria José 10 Palis, Jacob jun. 10 Roussarie, Robert 10 Tresser, Charles 10 Wu, Yusen 9 Araújo, Vítor 9 Bonckaert, Patrick 9 Brunton, Steven L. 9 Chen, Ercai 9 de la Llave, Rafael 9 Grebogi, Celso 9 Holmes, Philip J. 9 Krauskopf, Bernd 9 Lai, Yingcheng 9 Letellier, Christophe 9 Li, Weigu 9 Llibre, Jaume 9 Sevryuk, Mikhail Borisovich 8 Chen, Zhimin 8 Crovisier, Sylvain 8 Damanik, David 8 Guckenheimer, John M. 8 Guo, Shangjiang 8 Kuznetsov, Sergey P. 8 Naudot, Vincent 8 Palese, Marcella 8 Pochinka, Olga Vital’evna 8 Ruelle, David Pierre 8 Simó, Carles 8 Small, Michael 7 Aihara, Kazuyuki 7 Chen, Guanrong 7 El Naschie, Mohamed Saladin 7 Haro, Àlex 7 Homburg, Ale Jan 7 Jiang, Kan 7 Krupka, Demeter 7 Li, Larry Kin Bong 7 Liu, Yirong 7 Mello, Luis Fernando O. 7 Misiurewicz, Michał 7 Nozdrinova, Elena V. 7 Ott, Edward 7 Price, W. Geraint 7 Rams, Michał 7 Shilnikov, Leonid Pavlovich 7 Simpson, David John Warwick 7 Teixeira, Marco Antonio 7 Viana, Marcelo 6 Algaba, Antonio 6 Berger, Pierre 6 Campbell, Sue Ann 6 Cao, Yongluo 6 de Carvalho Braga, Denis 6 Efstathiou, Konstantinos 6 Farmer, James Doyne 6 Giannakis, Dimitrios 6 Giné, Jaume 6 Hommes, Cars H. 6 Ilyashenko, Yulij Sergeevich 6 Kutz, J. Nathan 6 Nakano, Yushi 6 Remizov, Alexey O. 6 Rodrigues, Alexandre A. P. 6 Rossi, Olga 6 Sataev, Igor’ Rustamovich 6 Soma, Teruhiko 6 Sotomayor, Jorge 6 Sterk, Alef E. 6 van Strien, Sebastian J. 6 Varandas, Paulo 6 Vegter, Gert 6 Wang, Qiudong 6 Zhuzhoma, Evgeniĭ Viktorovich 5 Ashwin, Peter 5 Bessa, Mário 5 Blokh, Alexander M. 5 Casdagli, Martin C. ...and 3,143 more Authors all top 5 Cited in 386 Serials 203 Physica D 114 Journal of Differential Equations 113 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 95 Chaos, Solitons and Fractals 79 Ergodic Theory and Dynamical Systems 69 Chaos 64 Communications in Mathematical Physics 56 Journal of Fluid Mechanics 46 Transactions of the American Mathematical Society 42 Journal of Mathematical Analysis and Applications 33 Nonlinear Dynamics 32 Journal of Dynamics and Differential Equations 32 Discrete and Continuous Dynamical Systems 28 Applied Mathematics and Computation 27 Communications in Nonlinear Science and Numerical Simulation 26 Journal of Statistical Physics 26 Proceedings of the American Mathematical Society 24 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 24 Regular and Chaotic Dynamics 23 Inventiones Mathematicae 22 Dynamical Systems 21 Nonlinearity 20 Functional Analysis and its Applications 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 Journal of Nonlinear Science 20 Qualitative Theory of Dynamical Systems 19 Archive for Rational Mechanics and Analysis 18 Advances in Mathematics 18 Mathematische Zeitschrift 18 SIAM Journal on Applied Dynamical Systems 18 Nonlinear Analysis. Theory, Methods & Applications 17 Journal of Difference Equations and Applications 16 Bulletin of Mathematical Biology 16 Indagationes Mathematicae. New Series 16 Journal of Mathematical Sciences (New York) 15 Journal of Mathematical Physics 15 Annales de l’Institut Fourier 15 Discrete and Continuous Dynamical Systems. Series B 15 Journal of Dynamical Systems and Geometric Theories 14 Physics Letters. A 13 Topology and its Applications 12 Publications Mathématiques 12 Journal of Economic Dynamics & Control 12 Dynamics and Stability of Systems 11 Journal of Mathematical Biology 11 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 11 Mathematical and Computer Modelling 11 Differential Geometry and its Applications 11 Boletim da Sociedade Brasileira de Matemática. Nova Série 11 Journal of Dynamical and Control Systems 10 Biological Cybernetics 10 Journal of Computational Physics 10 Mathematical Biosciences 10 Physica A 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 Discrete and Continuous Dynamical Systems. Series S 9 Israel Journal of Mathematics 9 Mathematical Proceedings of the Cambridge Philosophical Society 9 Mathematische Annalen 9 Meccanica 8 Computers & Mathematics with Applications 8 Journal of the Franklin Institute 8 Boletim da Sociedade Brasileira de Matemática 8 Monatshefte für Mathematik 8 Acta Applicandae Mathematicae 8 Mathematical Problems in Engineering 7 Physics Reports 7 Journal of Geometry and Physics 7 Bulletin of the American Mathematical Society. New Series 6 Computer Methods in Applied Mechanics and Engineering 6 International Journal of Systems Science 6 Theoretical and Mathematical Physics 6 Ukrainian Mathematical Journal 6 Physics of Fluids, A 6 Journal of Computational and Applied Mathematics 6 Manuscripta Mathematica 6 Mathematics and Computers in Simulation 6 Systems & Control Letters 6 Neural Computation 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Physics of Fluids 6 Differential Equations 6 Advances in Difference Equations 5 Journal of Applied Mathematics and Mechanics 5 Mathematical Notes 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Compositio Mathematica 5 Czechoslovak Mathematical Journal 5 Journal of Economic Theory 5 Journal of Soviet Mathematics 5 Japan Journal of Applied Mathematics 5 The Journal of Geometric Analysis 5 Applied Mathematical Modelling 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Vestnik St. Petersburg University. Mathematics 5 Fractals 5 Bulletin des Sciences Mathématiques 5 Abstract and Applied Analysis 5 Acta Mathematica Sinica. English Series 5 Annales Henri Poincaré ...and 286 more Serials all top 5 Cited in 54 Fields 1,481 Dynamical systems and ergodic theory (37-XX) 542 Ordinary differential equations (34-XX) 254 Fluid mechanics (76-XX) 192 Biology and other natural sciences (92-XX) 182 Global analysis, analysis on manifolds (58-XX) 154 Mechanics of particles and systems (70-XX) 131 Partial differential equations (35-XX) 127 Measure and integration (28-XX) 115 Statistics (62-XX) 86 Manifolds and cell complexes (57-XX) 79 Systems theory; control (93-XX) 75 Numerical analysis (65-XX) 69 Differential geometry (53-XX) 62 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 61 Statistical mechanics, structure of matter (82-XX) 57 Probability theory and stochastic processes (60-XX) 53 General topology (54-XX) 51 Computer science (68-XX) 51 Information and communication theory, circuits (94-XX) 39 Operator theory (47-XX) 39 Quantum theory (81-XX) 35 Algebraic topology (55-XX) 28 Several complex variables and analytic spaces (32-XX) 27 Number theory (11-XX) 24 Difference and functional equations (39-XX) 24 Classical thermodynamics, heat transfer (80-XX) 23 Nonassociative rings and algebras (17-XX) 23 Mechanics of deformable solids (74-XX) 21 Real functions (26-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 21 Geophysics (86-XX) 15 Operations research, mathematical programming (90-XX) 14 Functional analysis (46-XX) 14 Optics, electromagnetic theory (78-XX) 13 Algebraic geometry (14-XX) 13 Relativity and gravitational theory (83-XX) 12 General and overarching topics; collections (00-XX) 12 History and biography (01-XX) 12 Topological groups, Lie groups (22-XX) 10 Group theory and generalizations (20-XX) 10 Functions of a complex variable (30-XX) 6 Mathematical logic and foundations (03-XX) 5 Astronomy and astrophysics (85-XX) 4 Combinatorics (05-XX) 4 Commutative algebra (13-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Associative rings and algebras (16-XX) 4 Category theory; homological algebra (18-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Special functions (33-XX) 3 Convex and discrete geometry (52-XX) 2 Geometry (51-XX) 1 Abstract harmonic analysis (43-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.