Edit Profile Takens, Floris Compute Distance To: Compute Author ID: takens.floris Published as: Takens, F.; Takens, Floris External Links: MGP · Wikidata · GND Documents Indexed: 118 Publications since 1967, including 13 Books Biographic References: 4 Publications all top 5 Co-Authors 65 single-authored 16 Broer, Henk W. 8 Palis, Jacob jun. 8 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 Diks, Cees G. H. 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 White, James H. 1 White, Warren N. 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 91 Publications have been cited 2,997 times in 2,467 Documents Cited by ▼ Year ▼ Detecting strange attractors in turbulence. Zbl 0513.58032Takens, Floris 486 1981 On the nature of turbulence. Zbl 0223.76041Ruelle, David; Takens, Floris 457 1971 Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations. Fractal dimensions and infinitely many attractors. Zbl 0790.58014Palis, Jacob; Takens, Floris 279 1993 Singularities of vector fields. Zbl 0279.58009Takens, Floris 268 1973 Bifurcations and stability of families of diffeomorphisms. Zbl 0518.58031Newhouse, S.; Palis, J.; Takens, F. 140 1983 Note concerning our paper ”On the nature of turbulence”. Commun. math. Phys. 20, 167-192 (1971). Zbl 0227.76084Ruelle, D.; Takens, F. 122 1971 Occurrence of strange Axiom A attractors near quasi periodic flows on \(T^m\), \(m\geq 3\). Zbl 0396.58029Newhouse, S.; Ruelle, D.; Takens, F. 115 1978 Normal forms for certain singularities of vectorfields. Zbl 0266.34046Takens, Floris 89 1973 Unfoldings and bifurcations of quasi-periodic tori. Zbl 0717.58043Broer, H. W.; Huitema, G. B.; Takens, F.; Braaksma, B. L. J. 72 1990 Unfoldings of certain singularities of vectorfields: Generalized Hopf bifurcations. Zbl 0273.35009Takens, Floris 63 1973 A global version of the inverse problem of the calculus of variations. Zbl 0463.58015Takens, Floris 61 1979 On the variational principle for the topological entropy of certain non-compact sets. Zbl 1042.37020Takens, Floris; Verbitskiy, Evgeny 58 2003 Partially hyperbolic fixed points. Zbl 0214.22901Takens, F. 54 1971 Forced oscillations and bifurcations. Zbl 1156.37315Takens, Floris 50 2001 Hyperbolicity and the creation of homoclinic orbits. Zbl 0641.58029Palis, J.; Takens, F. 41 1987 Multifractal analysis of local entropies for expansive homeomorphisms with specification. Zbl 0955.37002Takens, Floris; Verbitski, Evgeny 32 1999 Topological equivalence of normally hyperbolic dynamical systems. Zbl 0391.58015Palis, J.; Takens, F. 26 1977 The minimal number of critical points of a function on a compact manifold and the Lusternik-Schnirelman category. Zbl 0198.56603Takens, F. 25 1968 Generic properties of geodesic flows. Zbl 0225.58006Klingenberg, W.; Takens, F. 24 1972 Orbits with historic behaviour, or nonexistence of averages. Zbl 1147.37013Takens, Floris 22 2008 Heteroclinic attractors: Time averages and moduli of topological conjugacy. Zbl 0801.58030Takens, Floris 22 1994 Structures in dynamics: finite dimensional deterministic studies. Zbl 0746.58002Broer, H. W.; Dumortier, F.; van Strien, S. J.; Takens, F. 22 1991 Constrained equations; a study of implicit differential equations and their discontinuous solutions. Zbl 0386.34003Takens, Floris 22 1976 Homoclinic points in conservative systems. Zbl 0247.58007Takens, Floris 22 1972 Some remarks on the Böhme-Berger bifurcation theorem. Zbl 0237.47032Takens, Floris 21 1972 Dynamical systems and chaos. Zbl 1218.37001Broer, Henk; Takens, Floris 19 2011 Derivations of vector fields. Zbl 0258.58005Takens, Floris 17 1973 Moduli and bifurcations: non-transversal intersections of invariant manifolds of vectorfields. Zbl 0473.58018Takens, Floris 15 1980 Generalized entropies: Rényi and correlation integral approach. Zbl 0943.37004Takens, Floris; Verbitski, Evgeny 14 1998 Limit capacity and Hausdorff dimension of dynamically defined Cantor sets. Zbl 0661.58024Takens, Floris 14 1988 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 14 1985 Stable arcs of diffeomorphisms. Zbl 0339.58008Newhouse, Sheldon; Palis, Jacob; Takens, Floris 12 1976 Stability of parametrized families of gradient vector fields. Zbl 0533.58018Palis, J.; Takens, F. 11 1983 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 Hamiltonian systems: Generic properties of closed orbits and local perturbations. Zbl 0191.21602Takens, Floris 10 1970 Motion under the influence of a strong constraining force. Zbl 0458.58010Takens, Floris 9 1980 Symmetries, conservation laws and variational principles. Zbl 0368.49019Takens, Floris 9 1977 On Zeeman’s tolerance stability conjecture. Zbl 0217.48303Takens, F. 9 1971 Geometry of KAM tori for nearly integrable Hamiltonian systems. Zbl 1131.37057Broer, Henk; Cushman, Richard; Fassó, Francesco; Takens, Floris 8 2007 Detecting nonlinearities in stationary time series. Zbl 0871.62078Takens, Floris 8 1993 Rotation intervals of endomorphisms of the circle. Zbl 0605.58027Bamon, R.; Malta, I. P.; Pacifico, M. J.; Takens, F. 8 1984 Characterization of a differentiable structure by its group of diffeomorphisms. Zbl 0447.58002Takens, Floris 8 1979 Global phenomena in bifurcations of dynamical systems with simple recurrence. Zbl 0419.58012Takens, F. 8 1979 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 A note on sufficiency of jets. Zbl 0231.58008Takens, Floris 7 1971 Preliminaries of dynamical systems theory. Zbl 1241.37004Broer, H. W.; Takens, F. 6 2010 Dynamical systems and chaos. Zbl 1283.37001Broer, Henk; Takens, Floris 6 2009 Intermittency and weak Gibbs states. Zbl 1005.37007Maes, Christian; Redig, Frank; Takens, Floris; van Moffaert, Annelies; Verbitski, Evgeny 6 2000 Abundance of generic homoclinic tangencies in real-analytic families of diffeomorphisms. Zbl 0772.58037Takens, Floris 6 1992 Mechanical and gradient systems; local perturbations and generic properties. Zbl 0572.58008Takens, Floris 6 1983 Constrained differential equations. Zbl 0331.34001Takens, Floris 6 1975 A nonstabilizable jet of a singularity of a vector field. Zbl 0283.58009Takens, Floris 6 1973 A \(C^ i\) counterexample to Moser’s twist theorem. Zbl 0235.58009Takens, Floris 6 1971 Unicity of KAM tori. Zbl 1130.37376Broer, Henk; Takens, Floris 5 2007 Multiplications in solenoids as hyperbolic attractors. Zbl 1074.37019Takens, Floris 5 2005 General multifractal analysis of local entropies. Zbl 0964.37012Takens, Floris; Verbitski, Evgeny 5 2000 Integrable and non-integrable deformations of the skew Hopf bifurcation. Zbl 1012.37031Broer, H. W.; Takens, F.; Wagener, F. O. O. 5 1999 A non-stabilizable jet of a singularity of a vector field; the analytic case. Zbl 0569.58003Takens, Floris 5 1984 Implicit differential equations; some open problems. Zbl 0354.34017Takens, Floris 5 1976 Singularities of functions and vectorfields. Zbl 0237.58012Takens, Floris 5 1972 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 The reconstruction theorem for endomorphisms. Zbl 1032.37012Takens, Floris 4 2002 Mixed spectra and rotational symmetry. Zbl 0789.58050Broer, Henk; Takens, Floris 4 1993 Vector fields with no nonwandering points. Zbl 0339.58009Takens, Floris; White, Warren 4 1976 Tolerance stability. Zbl 0321.54022Takens, Floris 4 1975 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 Spatio-temporal chaos: a solvable model. Zbl 0894.58032Diks, C.; Takens, F.; DeGoede, J. 3 1997 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 Height functions on surfaces with three critical points. Zbl 0311.57022Banchoff, Thomas; Takens, Floris 3 1975 Local invariant manifolds and normal forms. Zbl 1248.37005Takens, Floris; Vanderbauwhede, André 2 2010 Handbook of dynamical systems. Volume 3. Zbl 1216.37002Broer, Henk (ed.); Hasselblatt, Boris (ed.); Takens, Floris (ed.) 2 2010 Homoclinic tangencies: Moduli and topology of separatrices. Zbl 0783.58051Posthumus, Rense A.; Takens, Floris 2 1993 Dynamical systems and bifurcations. Proceedings of a Workshop held in Groningen, The Netherlands, April 16-20, 1984. Zbl 0552.00007Braaksma, B. L. J. (ed.); Broer, H. W. (ed.); Takens, F. (ed.) 2 1985 Moduli of singularities of vector fields. Zbl 0526.58037Takens, Floris 2 1984 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 Morse theory of double normals of immersions. Zbl 0228.58007Takens, Floris; White, James 2 1971 Handbook of dynamical systems. Volume 3. Reprint of the 2010 hardback edition. Zbl 1349.37002Broer, Henk (ed.); Hasselblatt, Boris (ed.); Takens, Floris (ed.) 1 2016 Generalized entropies. Zbl 0929.37001Verbitskij, E. A.; Takens, F. 1 1998 Chaos in systems beyond hyperbolicity. Zbl 0921.58040Takens, F. 1 1997 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 0830.00032Broer, H. W. (ed.); van Gils, S. A. (ed.); Hoveijn, I. (ed.); Takens, F. (ed.) 1 1996 Reduction entropy. Zbl 0885.58041Takens, Floris 1 1995 Singularities of gradient vector fields and moduli. Zbl 0614.58033Takens, Floris 1 1985 Symmetries, conservation laws and symplectic structures; elementary systems. Zbl 0417.70007Takens, F. 1 1979 Handbook of dynamical systems. Volume 3. Reprint of the 2010 hardback edition. Zbl 1349.37002Broer, Henk (ed.); Hasselblatt, Boris (ed.); Takens, Floris (ed.) 1 2016 Dynamical systems and chaos. Zbl 1218.37001Broer, Henk; Takens, Floris 19 2011 Preliminaries of dynamical systems theory. Zbl 1241.37004Broer, H. W.; Takens, F. 6 2010 Reconstruction theory and nonlinear time series analysis. Zbl 1260.37057Takens, Floris 4 2010 Local invariant manifolds and normal forms. Zbl 1248.37005Takens, Floris; Vanderbauwhede, André 2 2010 Handbook of dynamical systems. Volume 3. Zbl 1216.37002Broer, Henk (ed.); Hasselblatt, Boris (ed.); Takens, Floris (ed.) 2 2010 Dynamical systems and chaos. Zbl 1283.37001Broer, Henk; Takens, Floris 6 2009 Orbits with historic behaviour, or nonexistence of averages. Zbl 1147.37013Takens, Floris 22 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 5 2005 On the variational principle for the topological entropy of certain non-compact sets. Zbl 1042.37020Takens, Floris; Verbitskiy, Evgeny 58 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 50 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 5 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 32 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 14 1998 Generalized entropies. Zbl 0929.37001Verbitskij, E. A.; Takens, F. 1 1998 Spatio-temporal chaos: a solvable model. Zbl 0894.58032Diks, C.; Takens, F.; DeGoede, J. 3 1997 Chaos in systems beyond hyperbolicity. Zbl 0921.58040Takens, F. 1 1997 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 0830.00032Broer, H. W. (ed.); van Gils, S. A. (ed.); Hoveijn, I. (ed.); Takens, F. (ed.) 1 1996 Reduction entropy. Zbl 0885.58041Takens, Floris 1 1995 Heteroclinic attractors: Time averages and moduli of topological conjugacy. Zbl 0801.58030Takens, Floris 22 1994 Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations. Fractal dimensions and infinitely many attractors. Zbl 0790.58014Palis, Jacob; Takens, Floris 279 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. 22 1991 Unfoldings and bifurcations of quasi-periodic tori. Zbl 0717.58043Broer, H. W.; Huitema, G. B.; Takens, F.; Braaksma, B. L. J. 72 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 14 1988 Hyperbolicity and the creation of homoclinic orbits. Zbl 0641.58029Palis, J.; Takens, F. 41 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 14 1985 Dynamical systems and bifurcations. Proceedings of a Workshop held in Groningen, The Netherlands, April 16-20, 1984. Zbl 0552.00007Braaksma, B. L. J. (ed.); Broer, H. W. (ed.); Takens, F. (ed.) 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 5 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. 140 1983 Stability of parametrized families of gradient vector fields. Zbl 0533.58018Palis, J.; Takens, F. 11 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 6 1983 Detecting strange attractors in turbulence. Zbl 0513.58032Takens, Floris 486 1981 Moduli and bifurcations: non-transversal intersections of invariant manifolds of vectorfields. Zbl 0473.58018Takens, Floris 15 1980 Motion under the influence of a strong constraining force. Zbl 0458.58010Takens, Floris 9 1980 A global version of the inverse problem of the calculus of variations. Zbl 0463.58015Takens, Floris 61 1979 Characterization of a differentiable structure by its group of diffeomorphisms. Zbl 0447.58002Takens, Floris 8 1979 Global phenomena in bifurcations of dynamical systems with simple recurrence. Zbl 0419.58012Takens, F. 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. 115 1978 Topological equivalence of normally hyperbolic dynamical systems. Zbl 0391.58015Palis, J.; Takens, F. 26 1977 Symmetries, conservation laws and variational principles. Zbl 0368.49019Takens, Floris 9 1977 Constrained equations; a study of implicit differential equations and their discontinuous solutions. Zbl 0386.34003Takens, Floris 22 1976 Stable arcs of diffeomorphisms. Zbl 0339.58008Newhouse, Sheldon; Palis, Jacob; Takens, Floris 12 1976 Implicit differential equations; some open problems. Zbl 0354.34017Takens, Floris 5 1976 Vector fields with no nonwandering points. Zbl 0339.58009Takens, Floris; White, Warren 4 1976 Constrained differential equations. Zbl 0331.34001Takens, Floris 6 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 268 1973 Normal forms for certain singularities of vectorfields. Zbl 0266.34046Takens, Floris 89 1973 Unfoldings of certain singularities of vectorfields: Generalized Hopf bifurcations. Zbl 0273.35009Takens, Floris 63 1973 Derivations of vector fields. Zbl 0258.58005Takens, Floris 17 1973 A nonstabilizable jet of a singularity of a vector field. Zbl 0283.58009Takens, Floris 6 1973 Characterization of compactness for symplectic manifolds. Zbl 0378.58004Dumortier, F.; Takens, F. 2 1973 Generic properties of geodesic flows. Zbl 0225.58006Klingenberg, W.; Takens, F. 24 1972 Homoclinic points in conservative systems. Zbl 0247.58007Takens, Floris 22 1972 Some remarks on the Böhme-Berger bifurcation theorem. Zbl 0237.47032Takens, Floris 21 1972 Singularities of functions and vectorfields. Zbl 0237.58012Takens, Floris 5 1972 On the nature of turbulence. Zbl 0223.76041Ruelle, David; Takens, Floris 457 1971 Note concerning our paper ”On the nature of turbulence”. Commun. math. Phys. 20, 167-192 (1971). Zbl 0227.76084Ruelle, D.; Takens, F. 122 1971 Partially hyperbolic fixed points. Zbl 0214.22901Takens, F. 54 1971 On Zeeman’s tolerance stability conjecture. Zbl 0217.48303Takens, F. 9 1971 A note on sufficiency of jets. Zbl 0231.58008Takens, Floris 7 1971 A \(C^ i\) counterexample to Moser’s twist theorem. Zbl 0235.58009Takens, Floris 6 1971 Morse theory of double normals of immersions. Zbl 0228.58007Takens, Floris; White, James 2 1971 The Lusternik-Schnirelman categories of a product space. Zbl 0198.28302Takens, F. 10 1970 Hamiltonian systems: Generic properties of closed orbits and local perturbations. Zbl 0191.21602Takens, Floris 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 3,448 Authors 38 Broer, Henk W. 21 Yu, Pei 18 Takens, Floris 16 Hanßmann, Heinz 16 Yorke, James Alan 15 Díaz, Lorenzo Justiniano 14 Morales, Carlos Arnoldo 13 Dumortier, Freddy 13 Mesón, Alejandro M. 13 Rybicki, Sławomir Maciej 13 Vericat, Fernando 12 Barreira, Luis Manuel 12 Moreira, Carlos Gustavo Tamm de Araujo 11 Bonatti, Christian 11 Mees, Alistair I. 11 Turaev, Dmitry V. 10 Gonchenko, Sergey V. 10 Gorodetski, Anton 10 Iooss, Gérard 10 Li, Feng 10 Osinga, Hinke Maria 10 Pacifico, Maria José 10 Tian, Xueting 10 Tresser, Charles 9 Bonckaert, Patrick 9 Grebogi, Celso 9 Holmes, Philip J. 9 Judd, Kevin 9 Krauskopf, Bernd 9 Lai, Yingcheng 9 Li, Weigu 9 Llibre, Jaume 9 Palis, Jacob jun. 9 Roussarie, Robert 9 Shang, Pengjian 9 Wu, Yusen 8 Aihara, Kazuyuki 8 Chen, Ercai 8 Chen, Guanrong 8 Chen, Zhimin 8 Crovisier, Sylvain 8 de la Llave, Rafael 8 El Naschie, Mohamed Saladin 8 Guckenheimer, John M. 8 Kiriki, Shin 8 Kuznetsov, Sergey P. 8 Letellier, Christophe 8 Ott, Edward 8 Palese, Marcella 8 Ruelle, David Pierre 8 Simó, Carles 8 Small, Michael 7 Araújo, Vítor 7 Broomhead, David S. 7 Brunton, Steven L. 7 Damanik, David 7 Efstathiou, Konstantinos 7 Guo, Shangjiang 7 Haro, Àlex 7 Homburg, Ale Jan 7 Krupka, Demeter 7 Liu, Yirong 7 Misiurewicz, Michał 7 Naudot, Vincent 7 Price, W. Geraint 7 Sevryuk, Mikhail Borisovich 7 Shilnikov, Leonid Pavlovich 7 Simpson, David John Warwick 7 Sotomayor, Jorge 7 Viana, Marcelo 6 Berger, Pierre 6 Cao, Yongluo 6 Casdagli, Martin C. 6 Farmer, James Doyne 6 Gasull, Armengol 6 Giannakis, Dimitrios 6 Hommes, Cars H. 6 Kurths, Jürgen 6 Lamb, Jeroen S. W. 6 Rams, Michał 6 Rossi, Olga 6 Sterk, Alef E. 6 Teixeira, Marco Antonio 6 van Strien, Sebastian J. 6 Vegter, Gert 6 Wang, Qiudong 5 Anderson, Ian M. 5 Ashwin, Peter 5 Blokh, Alexander M. 5 Campbell, Sue Ann 5 Chow, Shuinee 5 de Carvalho Braga, Denis 5 Gao, Jianbo 5 Gelfert, Katrin Grit 5 Ghil, Michael 5 Giné, Jaume 5 Huseyin, Koncay 5 Ibáñez, Santiago 5 Ilyashenko, Yulij Sergeevich 5 Jiang, Kan ...and 3,348 more Authors all top 5 Cited in 360 Serials 256 Physica D 118 Chaos, Solitons and Fractals 117 Journal of Differential Equations 105 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 75 Ergodic Theory and Dynamical Systems 63 Communications in Mathematical Physics 61 Chaos 50 Journal of Fluid Mechanics 50 Journal of Mathematical Analysis and Applications 45 Transactions of the American Mathematical Society 36 Physics Letters. A 32 Nonlinear Dynamics 30 Applied Mathematics and Computation 29 Journal of Dynamics and Differential Equations 28 Communications in Nonlinear Science and Numerical Simulation 26 Proceedings of the American Mathematical Society 25 Discrete and Continuous Dynamical Systems 24 Journal of Statistical Physics 23 Inventiones Mathematicae 23 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 23 Nonlinear Analysis. Theory, Methods & Applications 22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 21 Regular and Chaotic Dynamics 21 Dynamical Systems 20 Functional Analysis and its Applications 19 Archive for Rational Mechanics and Analysis 17 Journal of Nonlinear Science 16 Bulletin of Mathematical Biology 16 Mathematische Zeitschrift 16 SIAM Journal on Applied Dynamical Systems 15 Journal of Mathematical Physics 15 Advances in Mathematics 15 Annales de l’Institut Fourier 15 Journal of Mathematical Sciences (New York) 15 Journal of Difference Equations and Applications 15 Qualitative Theory of Dynamical Systems 14 Physica A 14 Indagationes Mathematicae. New Series 13 Topology and its Applications 13 Mathematical and Computer Modelling 12 Nonlinearity 12 Publications Mathématiques 12 Journal of Economic Dynamics & Control 12 Dynamics and Stability of Systems 11 Journal of Computational Physics 11 Journal of Mathematical Biology 11 Mathematical Biosciences 11 Journal of Geometry and Physics 11 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 11 Differential Geometry and its Applications 11 Boletim da Sociedade Brasileira de Matemática. Nova Série 11 Discrete and Continuous Dynamical Systems. Series B 11 Journal of Dynamical Systems and Geometric Theories 10 Biological Cybernetics 10 Computers & Mathematics with Applications 10 Journal of Dynamical and Control Systems 9 Journal of the Franklin Institute 9 Mathematical Proceedings of the Cambridge Philosophical Society 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Mathematische Annalen 9 Meccanica 8 Israel Journal of Mathematics 8 Boletim da Sociedade Brasileira de Matemática 8 Monatshefte für Mathematik 8 Systems & Control Letters 8 Acta Applicandae Mathematicae 8 Mathematical Problems in Engineering 7 Bulletin of the American Mathematical Society. New Series 7 Nonlinear Analysis. Real World Applications 6 Computer Methods in Applied Mechanics and Engineering 6 International Journal of Systems Science 6 Physics Reports 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 Neural Computation 6 Applied Mathematical Modelling 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Physics of Fluids 6 Differential Equations 6 Advances in Difference Equations 6 Discrete and Continuous Dynamical Systems. Series S 6 Journal of Theoretical Biology 5 Journal of Applied Mathematics and Mechanics 5 Mathematical Notes 5 Reports on Mathematical Physics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Czechoslovak Mathematical Journal 5 Journal of Economic Theory 5 Journal of Soviet Mathematics 5 Japan Journal of Applied Mathematics 5 Applied Mathematics Letters 5 The Journal of Geometric Analysis 5 Bulletin des Sciences Mathématiques 5 Abstract and Applied Analysis 5 Acta Mathematica Sinica. English Series 4 Rocky Mountain Journal of Mathematics 4 The Mathematical Intelligencer ...and 260 more Serials all top 5 Cited in 55 Fields 1,478 Dynamical systems and ergodic theory (37-XX) 531 Ordinary differential equations (34-XX) 242 Fluid mechanics (76-XX) 206 Biology and other natural sciences (92-XX) 184 Global analysis, analysis on manifolds (58-XX) 156 Mechanics of particles and systems (70-XX) 136 Statistics (62-XX) 130 Partial differential equations (35-XX) 124 Measure and integration (28-XX) 91 Systems theory; control (93-XX) 80 Numerical analysis (65-XX) 79 Manifolds and cell complexes (57-XX) 68 Differential geometry (53-XX) 68 Statistical mechanics, structure of matter (82-XX) 67 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 66 Probability theory and stochastic processes (60-XX) 62 Information and communication theory, circuits (94-XX) 55 General topology (54-XX) 48 Computer science (68-XX) 45 Quantum theory (81-XX) 36 Operator theory (47-XX) 33 Algebraic topology (55-XX) 27 Operations research, mathematical programming (90-XX) 26 Several complex variables and analytic spaces (32-XX) 26 Mechanics of deformable solids (74-XX) 26 Classical thermodynamics, heat transfer (80-XX) 25 Difference and functional equations (39-XX) 23 Geophysics (86-XX) 22 Nonassociative rings and algebras (17-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 20 Real functions (26-XX) 17 Number theory (11-XX) 16 Optics, electromagnetic theory (78-XX) 14 Functional analysis (46-XX) 12 Algebraic geometry (14-XX) 11 General and overarching topics; collections (00-XX) 11 Topological groups, Lie groups (22-XX) 11 Functions of a complex variable (30-XX) 11 Relativity and gravitational theory (83-XX) 10 History and biography (01-XX) 9 Group theory and generalizations (20-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Mathematical logic and foundations (03-XX) 5 Astronomy and astrophysics (85-XX) 4 Combinatorics (05-XX) 4 Commutative algebra (13-XX) 4 Associative rings and algebras (16-XX) 4 Category theory; homological algebra (18-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Special functions (33-XX) 3 Convex and discrete geometry (52-XX) 2 Geometry (51-XX) 1 Field theory and polynomials (12-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.