## Takens, Floris

Compute Distance To:
 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
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### 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.
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### 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)

### 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 0223.76041
Ruelle, David; Takens, Floris
1971
Detecting strange attractors in turbulence. Zbl 0513.58032
Takens, Floris
1981
Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations. Fractal dimensions and infinitely many attractors. Zbl 0790.58014
Palis, Jacob; Takens, Floris
1993
Singularities of vector fields. Zbl 0279.58009
Takens, Floris
1973
Bifurcations and stability of families of diffeomorphisms. Zbl 0518.58031
Newhouse, S.; Palis, J.; Takens, F.
1983
Occurrence of strange Axiom A attractors near quasi periodic flows on $$T^m$$, $$m\geq 3$$. Zbl 0396.58029
Newhouse, S.; Ruelle, D.; Takens, F.
1978
Note concerning our paper ”On the nature of turbulence”. Commun. math. Phys. 20, 167-192 (1971). Zbl 0227.76084
Ruelle, D.; Takens, F.
1971
Normal forms for certain singularities of vectorfields. Zbl 0266.34046
Takens, Floris
1973
Unfoldings and bifurcations of quasi-periodic tori. Zbl 0717.58043
Broer, H. W.; Huitema, G. B.; Takens, F.; Braaksma, B. L. J.
1990
On the variational principle for the topological entropy of certain non-compact sets. Zbl 1042.37020
Takens, Floris; Verbitskiy, Evgeny
2003
Unfoldings of certain singularities of vectorfields: Generalized Hopf bifurcations. Zbl 0273.35009
Takens, Floris
1973
A global version of the inverse problem of the calculus of variations. Zbl 0463.58015
Takens, Floris
1979
Partially hyperbolic fixed points. Zbl 0214.22901
Takens, F.
1971
Forced oscillations and bifurcations. Zbl 1156.37315
Takens, Floris
2001
Hyperbolicity and the creation of homoclinic orbits. Zbl 0641.58029
Palis, J.; Takens, F.
1987
Multifractal analysis of local entropies for expansive homeomorphisms with specification. Zbl 0955.37002
Takens, Floris; Verbitski, Evgeny
1999
Orbits with historic behaviour, or nonexistence of averages. Zbl 1147.37013
Takens, Floris
2008
Heteroclinic attractors: Time averages and moduli of topological conjugacy. Zbl 0801.58030
Takens, Floris
1994
Topological equivalence of normally hyperbolic dynamical systems. Zbl 0391.58015
Palis, J.; Takens, F.
1977
Generic properties of geodesic flows. Zbl 0225.58006
Klingenberg, W.; Takens, F.
1972
The minimal number of critical points of a function on a compact manifold and the Lusternik-Schnirelman category. Zbl 0198.56603
Takens, F.
1968
Dynamical systems and chaos. Zbl 1218.37001
Broer, Henk; Takens, Floris
2011
Homoclinic points in conservative systems. Zbl 0247.58007
Takens, Floris
1972
Some remarks on the Böhme-Berger bifurcation theorem. Zbl 0237.47032
Takens, Floris
1972
Structures in dynamics: finite dimensional deterministic studies. Zbl 0746.58002
Broer, H. W.; Dumortier, F.; van Strien, S. J.; Takens, F.
1991
Derivations of vector fields. Zbl 0258.58005
Takens, Floris
1973
Constrained equations; a study of implicit differential equations and their discontinuous solutions. Zbl 0386.34003
Takens, Floris
1976
Generalized entropies: Rényi and correlation integral approach. Zbl 0943.37004
Takens, Floris; Verbitski, Evgeny
1998
Stable arcs of diffeomorphisms. Zbl 0339.58008
Newhouse, Sheldon; Palis, Jacob; Takens, Floris
1976
Cycles and measure of bifurcation sets for two-dimensional diffeomorphisms. Zbl 0579.58005
Palis, J.; Takens, F.
1985
Moduli and bifurcations: non-transversal intersections of invariant manifolds of vectorfields. Zbl 0473.58018
Takens, Floris
1980
Limit capacity and Hausdorff dimension of dynamically defined Cantor sets. Zbl 0661.58024
Takens, Floris
1988
Stability of parametrized families of gradient vector fields. Zbl 0533.58018
Palis, J.; Takens, F.
1983
On the numerical determination of the dimension of an attractor. Zbl 0561.58027
Takens, Floris
1985
Hamiltonian systems: Generic properties of closed orbits and local perturbations. Zbl 0191.21602
Takens, Floris
1970
Resonances in skew and reducible quasi-periodic Hopf bifurcations. Zbl 0989.37017
Takens, F.; Wagener, F. O. O.
2000
Formally symmetric normal forms and genericity. Zbl 0704.58047
Broer, H. W.; Takens, F.
1989
The Lusternik-Schnirelman categories of a product space. Zbl 0198.28302
Takens, F.
1970
Global phenomena in bifurcations of dynamical systems with simple recurrence. Zbl 0419.58012
Takens, F.
1979
Rotation intervals of endomorphisms of the circle. Zbl 0605.58027
Bamon, R.; Malta, I. P.; Pacifico, M. J.; Takens, F.
1984
On Zeeman’s tolerance stability conjecture. Zbl 0217.48303
Takens, F.
1971
A note on sufficiency of jets. Zbl 0231.58008
Takens, Floris
1971
Characterization of a differentiable structure by its group of diffeomorphisms. Zbl 0447.58002
Takens, Floris
1979
Detecting nonlinearities in stationary time series. Zbl 0871.62078
Takens, Floris
1993
Geometry of KAM tori for nearly integrable Hamiltonian systems. Zbl 1131.37057
Broer, Henk; Cushman, Richard; Fassó, Francesco; Takens, Floris
2007
Dynamical systems and chaos. Zbl 1283.37001
Broer, Henk; Takens, Floris
2009
Transitions from periodic to strange attractors in constrained equations. Zbl 0637.58018
Takens, F.
1987
Distinguishing deterministic and random systems. Zbl 0532.58017
Takens, F.
1983
Symmetries, conservation laws and variational principles. Zbl 0368.49019
Takens, Floris
1977
Intermittency and weak Gibbs states. Zbl 1005.37007
Maes, Christian; Redig, Frank; Takens, Floris; van Moffaert, Annelies; Verbitski, Evgeny
2000
General multifractal analysis of local entropies. Zbl 0964.37012
Takens, Floris; Verbitski, Evgeny
2000
Multiplications in solenoids as hyperbolic attractors. Zbl 1074.37019
Takens, Floris
2005
Abundance of generic homoclinic tangencies in real-analytic families of diffeomorphisms. Zbl 0772.58037
Takens, Floris
1992
Constrained differential equations. Zbl 0331.34001
Takens, Floris
1975
Mechanical and gradient systems; local perturbations and generic properties. Zbl 0572.58008
Takens, Floris
1983
Integrable and non-integrable deformations of the skew Hopf bifurcation. Zbl 1012.37031
Broer, H. W.; Takens, F.; Wagener, F. O. O.
1999
A $$C^ i$$ counterexample to Moser’s twist theorem. Zbl 0235.58009
Takens, Floris
1971
Preliminaries of dynamical systems theory. Zbl 1241.37004
Broer, H. W.; Takens, F.
2010
Unicity of KAM tori. Zbl 1130.37376
Broer, Henk; Takens, Floris
2007
Tolerance stability. Zbl 0321.54022
Takens, Floris
1975
Vector fields with no nonwandering points. Zbl 0339.58009
Takens, Floris; White, Warren
1976
The reconstruction theorem for endomorphisms. Zbl 1032.37012
Takens, Floris
2002
Singularities of functions and vectorfields. Zbl 0237.58012
Takens, Floris
1972
Motion under the influence of a strong constraining force. Zbl 0458.58010
Takens, Floris
1980
Reconstruction theory and nonlinear time series analysis. Zbl 1260.37057
Takens, Floris
2010
Global properties of integrable Hamiltonian systems. Zbl 1229.37052
Lukina, O. V.; Takens, F.; Broer, H. W.
2008
Mixed spectra and rotational symmetry. Zbl 0789.58050
Broer, Henk; Takens, Floris
1993
Implicit differential equations; some open problems. Zbl 0354.34017
Takens, Floris
1976
Homoclinic bifurcations and hyperbolic dynamics. 16th Brazilian colloquium on mathematics (16e colóquio Brasileiro de matemática), held in Rio de Janeiro, Brasil 1987. Zbl 0696.58001
Palis, Jacob jun.; Takens, Floris
1987
A non-stabilizable jet of a singularity of a vector field; the analytic case. Zbl 0569.58003
Takens, Floris
1984
Rényi entropies of aperiodic dynamical systems. Zbl 1044.37005
Takens, Floris; Verbitskiy, Evgeny
2002
Multifractal analysis of dimensions and entropies. Zbl 0970.37002
Takens, F.; Verbitski, E.
2000
Height functions on surfaces with three critical points. Zbl 0311.57022
Banchoff, Thomas; Takens, Floris
1975
Geometric aspects of non-linear R.L.C. networks. Zbl 0335.34025
Takens, Floris
1975
Characterization of compactness for symplectic manifolds. Zbl 0378.58004
Dumortier, F.; Takens, F.
1973
Handbook of dynamical systems. Volume 3. Zbl 1216.37002
2010
Moduli of singularities of vector fields. Zbl 0526.58037
Takens, Floris
1984
Dynamical systems and bifurcations. Proceedings of a Workshop held in Groningen, The Netherlands, April 16-20, 1984. Zbl 0552.00007
1985
Homoclinic tangencies: Moduli and topology of separatrices. Zbl 0783.58051
Posthumus, Rense A.; Takens, Floris
1993
Morse theory of double normals of immersions. Zbl 0228.58007
Takens, Floris; White, James
1971
A nonstabilizable jet of a singularity of a vector field. Zbl 0283.58009
Takens, Floris
1973
Local invariant manifolds and normal forms. Zbl 1248.37005
Takens, Floris; Vanderbauwhede, André
2010
Symmetries, conservation laws and symplectic structures; elementary systems. Zbl 0417.70007
Takens, F.
1979
Singularities of gradient vector fields and moduli. Zbl 0614.58033
Takens, Floris
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
1996
Geometry Symposium, Utrecht 1980. Proceedings of a Symposium Held at the University of Utrecht, The Netherlands, August 27-29, 1980. Zbl 0465.00016
1981
Handbook of dynamical systems. Volume 3. Reprint of the 2010 hardback edition. Zbl 1349.37002
2016
Neural networks for prediction and control of chaotic fluidized bed hydrodynamics: A first step. Zbl 0907.76069
Bakker, R.; de Korte, R. J.; Schouten, J. C.; van den Bleek, C. M.; Takens, F.
1997
Generalized entropies. Zbl 0929.37001
Verbitskij, E. A.; Takens, F.
1998
Reduction entropy. Zbl 0885.58041
Takens, Floris
1995
Handbook of dynamical systems. Volume 3. Reprint of the 2010 hardback edition. Zbl 1349.37002
2016
Dynamical systems and chaos. Zbl 1218.37001
Broer, Henk; Takens, Floris
2011
Preliminaries of dynamical systems theory. Zbl 1241.37004
Broer, H. W.; Takens, F.
2010
Reconstruction theory and nonlinear time series analysis. Zbl 1260.37057
Takens, Floris
2010
Handbook of dynamical systems. Volume 3. Zbl 1216.37002
2010
Local invariant manifolds and normal forms. Zbl 1248.37005
Takens, Floris; Vanderbauwhede, André
2010
Dynamical systems and chaos. Zbl 1283.37001
Broer, Henk; Takens, Floris
2009
Orbits with historic behaviour, or nonexistence of averages. Zbl 1147.37013
Takens, Floris
2008
Global properties of integrable Hamiltonian systems. Zbl 1229.37052
Lukina, O. V.; Takens, F.; Broer, H. W.
2008
Geometry of KAM tori for nearly integrable Hamiltonian systems. Zbl 1131.37057
Broer, Henk; Cushman, Richard; Fassó, Francesco; Takens, Floris
2007
Unicity of KAM tori. Zbl 1130.37376
Broer, Henk; Takens, Floris
2007
Multiplications in solenoids as hyperbolic attractors. Zbl 1074.37019
Takens, Floris
2005
On the variational principle for the topological entropy of certain non-compact sets. Zbl 1042.37020
Takens, Floris; Verbitskiy, Evgeny
2003
The reconstruction theorem for endomorphisms. Zbl 1032.37012
Takens, Floris
2002
Rényi entropies of aperiodic dynamical systems. Zbl 1044.37005
Takens, Floris; Verbitskiy, Evgeny
2002
Forced oscillations and bifurcations. Zbl 1156.37315
Takens, Floris
2001
Resonances in skew and reducible quasi-periodic Hopf bifurcations. Zbl 0989.37017
Takens, F.; Wagener, F. O. O.
2000
Intermittency and weak Gibbs states. Zbl 1005.37007
Maes, Christian; Redig, Frank; Takens, Floris; van Moffaert, Annelies; Verbitski, Evgeny
2000
General multifractal analysis of local entropies. Zbl 0964.37012
Takens, Floris; Verbitski, Evgeny
2000
Multifractal analysis of dimensions and entropies. Zbl 0970.37002
Takens, F.; Verbitski, E.
2000
Multifractal analysis of local entropies for expansive homeomorphisms with specification. Zbl 0955.37002
Takens, Floris; Verbitski, Evgeny
1999
Integrable and non-integrable deformations of the skew Hopf bifurcation. Zbl 1012.37031
Broer, H. W.; Takens, F.; Wagener, F. O. O.
1999
Generalized entropies: Rényi and correlation integral approach. Zbl 0943.37004
Takens, Floris; Verbitski, Evgeny
1998
Generalized entropies. Zbl 0929.37001
Verbitskij, E. A.; Takens, F.
1998
Neural networks for prediction and control of chaotic fluidized bed hydrodynamics: A first step. Zbl 0907.76069
Bakker, R.; de Korte, R. J.; Schouten, J. C.; van den Bleek, C. M.; Takens, F.
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
1996
Reduction entropy. Zbl 0885.58041
Takens, Floris
1995
Heteroclinic attractors: Time averages and moduli of topological conjugacy. Zbl 0801.58030
Takens, Floris
1994
Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations. Fractal dimensions and infinitely many attractors. Zbl 0790.58014
Palis, Jacob; Takens, Floris
1993
Detecting nonlinearities in stationary time series. Zbl 0871.62078
Takens, Floris
1993
Mixed spectra and rotational symmetry. Zbl 0789.58050
Broer, Henk; Takens, Floris
1993
Homoclinic tangencies: Moduli and topology of separatrices. Zbl 0783.58051
Posthumus, Rense A.; Takens, Floris
1993
Abundance of generic homoclinic tangencies in real-analytic families of diffeomorphisms. Zbl 0772.58037
Takens, Floris
1992
Structures in dynamics: finite dimensional deterministic studies. Zbl 0746.58002
Broer, H. W.; Dumortier, F.; van Strien, S. J.; Takens, F.
1991
Unfoldings and bifurcations of quasi-periodic tori. Zbl 0717.58043
Broer, H. W.; Huitema, G. B.; Takens, F.; Braaksma, B. L. J.
1990
Formally symmetric normal forms and genericity. Zbl 0704.58047
Broer, H. W.; Takens, F.
1989
Limit capacity and Hausdorff dimension of dynamically defined Cantor sets. Zbl 0661.58024
Takens, Floris
1988
Hyperbolicity and the creation of homoclinic orbits. Zbl 0641.58029
Palis, J.; Takens, F.
1987
Transitions from periodic to strange attractors in constrained equations. Zbl 0637.58018
Takens, F.
1987
Homoclinic bifurcations and hyperbolic dynamics. 16th Brazilian colloquium on mathematics (16e colóquio Brasileiro de matemática), held in Rio de Janeiro, Brasil 1987. Zbl 0696.58001
Palis, Jacob jun.; Takens, Floris
1987
Cycles and measure of bifurcation sets for two-dimensional diffeomorphisms. Zbl 0579.58005
Palis, J.; Takens, F.
1985
On the numerical determination of the dimension of an attractor. Zbl 0561.58027
Takens, Floris
1985
Dynamical systems and bifurcations. Proceedings of a Workshop held in Groningen, The Netherlands, April 16-20, 1984. Zbl 0552.00007
1985
Singularities of gradient vector fields and moduli. Zbl 0614.58033
Takens, Floris
1985
Rotation intervals of endomorphisms of the circle. Zbl 0605.58027
Bamon, R.; Malta, I. P.; Pacifico, M. J.; Takens, F.
1984
A non-stabilizable jet of a singularity of a vector field; the analytic case. Zbl 0569.58003
Takens, Floris
1984
Moduli of singularities of vector fields. Zbl 0526.58037
Takens, Floris
1984
Bifurcations and stability of families of diffeomorphisms. Zbl 0518.58031
Newhouse, S.; Palis, J.; Takens, F.
1983
Stability of parametrized families of gradient vector fields. Zbl 0533.58018
Palis, J.; Takens, F.
1983
Distinguishing deterministic and random systems. Zbl 0532.58017
Takens, F.
1983
Mechanical and gradient systems; local perturbations and generic properties. Zbl 0572.58008
Takens, Floris
1983
Detecting strange attractors in turbulence. Zbl 0513.58032
Takens, Floris
1981
Geometry Symposium, Utrecht 1980. Proceedings of a Symposium Held at the University of Utrecht, The Netherlands, August 27-29, 1980. Zbl 0465.00016
1981
Moduli and bifurcations: non-transversal intersections of invariant manifolds of vectorfields. Zbl 0473.58018
Takens, Floris
1980
Motion under the influence of a strong constraining force. Zbl 0458.58010
Takens, Floris
1980
A global version of the inverse problem of the calculus of variations. Zbl 0463.58015
Takens, Floris
1979
Global phenomena in bifurcations of dynamical systems with simple recurrence. Zbl 0419.58012
Takens, F.
1979
Characterization of a differentiable structure by its group of diffeomorphisms. Zbl 0447.58002
Takens, Floris
1979
Symmetries, conservation laws and symplectic structures; elementary systems. Zbl 0417.70007
Takens, F.
1979
Occurrence of strange Axiom A attractors near quasi periodic flows on $$T^m$$, $$m\geq 3$$. Zbl 0396.58029
Newhouse, S.; Ruelle, D.; Takens, F.
1978
Topological equivalence of normally hyperbolic dynamical systems. Zbl 0391.58015
Palis, J.; Takens, F.
1977
Symmetries, conservation laws and variational principles. Zbl 0368.49019
Takens, Floris
1977
Constrained equations; a study of implicit differential equations and their discontinuous solutions. Zbl 0386.34003
Takens, Floris
1976
Stable arcs of diffeomorphisms. Zbl 0339.58008
Newhouse, Sheldon; Palis, Jacob; Takens, Floris
1976
Vector fields with no nonwandering points. Zbl 0339.58009
Takens, Floris; White, Warren
1976
Implicit differential equations; some open problems. Zbl 0354.34017
Takens, Floris
1976
Constrained differential equations. Zbl 0331.34001
Takens, Floris
1975
Tolerance stability. Zbl 0321.54022
Takens, Floris
1975
Height functions on surfaces with three critical points. Zbl 0311.57022
Banchoff, Thomas; Takens, Floris
1975
Geometric aspects of non-linear R.L.C. networks. Zbl 0335.34025
Takens, Floris
1975
Singularities of vector fields. Zbl 0279.58009
Takens, Floris
1973
Normal forms for certain singularities of vectorfields. Zbl 0266.34046
Takens, Floris
1973
Unfoldings of certain singularities of vectorfields: Generalized Hopf bifurcations. Zbl 0273.35009
Takens, Floris
1973
Derivations of vector fields. Zbl 0258.58005
Takens, Floris
1973
Characterization of compactness for symplectic manifolds. Zbl 0378.58004
Dumortier, F.; Takens, F.
1973
A nonstabilizable jet of a singularity of a vector field. Zbl 0283.58009
Takens, Floris
1973
Generic properties of geodesic flows. Zbl 0225.58006
Klingenberg, W.; Takens, F.
1972
Homoclinic points in conservative systems. Zbl 0247.58007
Takens, Floris
1972
Some remarks on the Böhme-Berger bifurcation theorem. Zbl 0237.47032
Takens, Floris
1972
Singularities of functions and vectorfields. Zbl 0237.58012
Takens, Floris
1972
On the nature of turbulence. Zbl 0223.76041
Ruelle, David; Takens, Floris
1971
Note concerning our paper ”On the nature of turbulence”. Commun. math. Phys. 20, 167-192 (1971). Zbl 0227.76084
Ruelle, D.; Takens, F.
1971
Partially hyperbolic fixed points. Zbl 0214.22901
Takens, F.
1971
On Zeeman’s tolerance stability conjecture. Zbl 0217.48303
Takens, F.
1971
A note on sufficiency of jets. Zbl 0231.58008
Takens, Floris
1971
A $$C^ i$$ counterexample to Moser’s twist theorem. Zbl 0235.58009
Takens, Floris
1971
Morse theory of double normals of immersions. Zbl 0228.58007
Takens, Floris; White, James
1971
Hamiltonian systems: Generic properties of closed orbits and local perturbations. Zbl 0191.21602
Takens, Floris
1970
The Lusternik-Schnirelman categories of a product space. Zbl 0198.28302
Takens, F.
1970
The minimal number of critical points of a function on a compact manifold and the Lusternik-Schnirelman category. Zbl 0198.56603
Takens, F.
1968
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
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### 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
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### 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)

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