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Takens, Floris

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Author ID: takens.floris Recent zbMATH articles by "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

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

Publications by Year

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 0513.58032
Takens, Floris
486
1981
On the nature of turbulence. Zbl 0223.76041
Ruelle, David; Takens, Floris
457
1971
Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations. Fractal dimensions and infinitely many attractors. Zbl 0790.58014
Palis, Jacob; Takens, Floris
279
1993
Singularities of vector fields. Zbl 0279.58009
Takens, Floris
268
1973
Bifurcations and stability of families of diffeomorphisms. Zbl 0518.58031
Newhouse, S.; Palis, J.; Takens, F.
140
1983
Note concerning our paper ”On the nature of turbulence”. Commun. math. Phys. 20, 167-192 (1971). Zbl 0227.76084
Ruelle, D.; Takens, F.
122
1971
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.
115
1978
Normal forms for certain singularities of vectorfields. Zbl 0266.34046
Takens, Floris
89
1973
Unfoldings and bifurcations of quasi-periodic tori. Zbl 0717.58043
Broer, H. W.; Huitema, G. B.; Takens, F.; Braaksma, B. L. J.
72
1990
Unfoldings of certain singularities of vectorfields: Generalized Hopf bifurcations. Zbl 0273.35009
Takens, Floris
63
1973
A global version of the inverse problem of the calculus of variations. Zbl 0463.58015
Takens, Floris
61
1979
On the variational principle for the topological entropy of certain non-compact sets. Zbl 1042.37020
Takens, Floris; Verbitskiy, Evgeny
58
2003
Partially hyperbolic fixed points. Zbl 0214.22901
Takens, F.
54
1971
Forced oscillations and bifurcations. Zbl 1156.37315
Takens, Floris
50
2001
Hyperbolicity and the creation of homoclinic orbits. Zbl 0641.58029
Palis, J.; Takens, F.
41
1987
Multifractal analysis of local entropies for expansive homeomorphisms with specification. Zbl 0955.37002
Takens, Floris; Verbitski, Evgeny
32
1999
Topological equivalence of normally hyperbolic dynamical systems. Zbl 0391.58015
Palis, J.; Takens, F.
26
1977
The minimal number of critical points of a function on a compact manifold and the Lusternik-Schnirelman category. Zbl 0198.56603
Takens, F.
25
1968
Generic properties of geodesic flows. Zbl 0225.58006
Klingenberg, W.; Takens, F.
24
1972
Orbits with historic behaviour, or nonexistence of averages. Zbl 1147.37013
Takens, Floris
22
2008
Heteroclinic attractors: Time averages and moduli of topological conjugacy. Zbl 0801.58030
Takens, Floris
22
1994
Structures in dynamics: finite dimensional deterministic studies. Zbl 0746.58002
Broer, 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 0386.34003
Takens, Floris
22
1976
Homoclinic points in conservative systems. Zbl 0247.58007
Takens, Floris
22
1972
Some remarks on the Böhme-Berger bifurcation theorem. Zbl 0237.47032
Takens, Floris
21
1972
Dynamical systems and chaos. Zbl 1218.37001
Broer, Henk; Takens, Floris
19
2011
Derivations of vector fields. Zbl 0258.58005
Takens, Floris
17
1973
Moduli and bifurcations: non-transversal intersections of invariant manifolds of vectorfields. Zbl 0473.58018
Takens, Floris
15
1980
Generalized entropies: Rényi and correlation integral approach. Zbl 0943.37004
Takens, Floris; Verbitski, Evgeny
14
1998
Limit capacity and Hausdorff dimension of dynamically defined Cantor sets. Zbl 0661.58024
Takens, Floris
14
1988
Cycles and measure of bifurcation sets for two-dimensional diffeomorphisms. Zbl 0579.58005
Palis, J.; Takens, F.
14
1985
On the numerical determination of the dimension of an attractor. Zbl 0561.58027
Takens, Floris
14
1985
Stable arcs of diffeomorphisms. Zbl 0339.58008
Newhouse, Sheldon; Palis, Jacob; Takens, Floris
12
1976
Stability of parametrized families of gradient vector fields. Zbl 0533.58018
Palis, J.; Takens, F.
11
1983
Resonances in skew and reducible quasi-periodic Hopf bifurcations. Zbl 0989.37017
Takens, F.; Wagener, F. O. O.
10
2000
Formally symmetric normal forms and genericity. Zbl 0704.58047
Broer, H. W.; Takens, F.
10
1989
The Lusternik-Schnirelman categories of a product space. Zbl 0198.28302
Takens, F.
10
1970
Hamiltonian systems: Generic properties of closed orbits and local perturbations. Zbl 0191.21602
Takens, Floris
10
1970
Motion under the influence of a strong constraining force. Zbl 0458.58010
Takens, Floris
9
1980
Symmetries, conservation laws and variational principles. Zbl 0368.49019
Takens, Floris
9
1977
On Zeeman’s tolerance stability conjecture. Zbl 0217.48303
Takens, F.
9
1971
Geometry of KAM tori for nearly integrable Hamiltonian systems. Zbl 1131.37057
Broer, Henk; Cushman, Richard; Fassó, Francesco; Takens, Floris
8
2007
Detecting nonlinearities in stationary time series. Zbl 0871.62078
Takens, Floris
8
1993
Rotation intervals of endomorphisms of the circle. Zbl 0605.58027
Bamon, R.; Malta, I. P.; Pacifico, M. J.; Takens, F.
8
1984
Characterization of a differentiable structure by its group of diffeomorphisms. Zbl 0447.58002
Takens, Floris
8
1979
Global phenomena in bifurcations of dynamical systems with simple recurrence. Zbl 0419.58012
Takens, F.
8
1979
Transitions from periodic to strange attractors in constrained equations. Zbl 0637.58018
Takens, F.
7
1987
Distinguishing deterministic and random systems. Zbl 0532.58017
Takens, F.
7
1983
A note on sufficiency of jets. Zbl 0231.58008
Takens, Floris
7
1971
Preliminaries of dynamical systems theory. Zbl 1241.37004
Broer, H. W.; Takens, F.
6
2010
Dynamical systems and chaos. Zbl 1283.37001
Broer, Henk; Takens, Floris
6
2009
Intermittency and weak Gibbs states. Zbl 1005.37007
Maes, Christian; Redig, Frank; Takens, Floris; van Moffaert, Annelies; Verbitski, Evgeny
6
2000
Abundance of generic homoclinic tangencies in real-analytic families of diffeomorphisms. Zbl 0772.58037
Takens, Floris
6
1992
Mechanical and gradient systems; local perturbations and generic properties. Zbl 0572.58008
Takens, Floris
6
1983
Constrained differential equations. Zbl 0331.34001
Takens, Floris
6
1975
A nonstabilizable jet of a singularity of a vector field. Zbl 0283.58009
Takens, Floris
6
1973
A \(C^ i\) counterexample to Moser’s twist theorem. Zbl 0235.58009
Takens, Floris
6
1971
Unicity of KAM tori. Zbl 1130.37376
Broer, Henk; Takens, Floris
5
2007
Multiplications in solenoids as hyperbolic attractors. Zbl 1074.37019
Takens, Floris
5
2005
General multifractal analysis of local entropies. Zbl 0964.37012
Takens, Floris; Verbitski, Evgeny
5
2000
Integrable and non-integrable deformations of the skew Hopf bifurcation. Zbl 1012.37031
Broer, H. W.; Takens, F.; Wagener, F. O. O.
5
1999
A non-stabilizable jet of a singularity of a vector field; the analytic case. Zbl 0569.58003
Takens, Floris
5
1984
Implicit differential equations; some open problems. Zbl 0354.34017
Takens, Floris
5
1976
Singularities of functions and vectorfields. Zbl 0237.58012
Takens, Floris
5
1972
Reconstruction theory and nonlinear time series analysis. Zbl 1260.37057
Takens, Floris
4
2010
Global properties of integrable Hamiltonian systems. Zbl 1229.37052
Lukina, O. V.; Takens, F.; Broer, H. W.
4
2008
The reconstruction theorem for endomorphisms. Zbl 1032.37012
Takens, Floris
4
2002
Mixed spectra and rotational symmetry. Zbl 0789.58050
Broer, Henk; Takens, Floris
4
1993
Vector fields with no nonwandering points. Zbl 0339.58009
Takens, Floris; White, Warren
4
1976
Tolerance stability. Zbl 0321.54022
Takens, Floris
4
1975
Rényi entropies of aperiodic dynamical systems. Zbl 1044.37005
Takens, Floris; Verbitskiy, Evgeny
3
2002
Multifractal analysis of dimensions and entropies. Zbl 0970.37002
Takens, F.; Verbitski, E.
3
2000
Spatio-temporal chaos: a solvable model. Zbl 0894.58032
Diks, 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 0696.58001
Palis, Jacob jun.; Takens, Floris
3
1987
Height functions on surfaces with three critical points. Zbl 0311.57022
Banchoff, Thomas; Takens, Floris
3
1975
Local invariant manifolds and normal forms. Zbl 1248.37005
Takens, Floris; Vanderbauwhede, André
2
2010
Handbook of dynamical systems. Volume 3. Zbl 1216.37002
Broer, Henk (ed.); Hasselblatt, Boris (ed.); Takens, Floris (ed.)
2
2010
Homoclinic tangencies: Moduli and topology of separatrices. Zbl 0783.58051
Posthumus, Rense A.; Takens, Floris
2
1993
Dynamical systems and bifurcations. Proceedings of a Workshop held in Groningen, The Netherlands, April 16-20, 1984. Zbl 0552.00007
Braaksma, B. L. J. (ed.); Broer, H. W. (ed.); Takens, F. (ed.)
2
1985
Moduli of singularities of vector fields. Zbl 0526.58037
Takens, Floris
2
1984
Geometric aspects of non-linear R.L.C. networks. Zbl 0335.34025
Takens, Floris
2
1975
Characterization of compactness for symplectic manifolds. Zbl 0378.58004
Dumortier, F.; Takens, F.
2
1973
Morse theory of double normals of immersions. Zbl 0228.58007
Takens, Floris; White, James
2
1971
Handbook of dynamical systems. Volume 3. Reprint of the 2010 hardback edition. Zbl 1349.37002
Broer, Henk (ed.); Hasselblatt, Boris (ed.); Takens, Floris (ed.)
1
2016
Generalized entropies. Zbl 0929.37001
Verbitskij, E. A.; Takens, F.
1
1998
Chaos in systems beyond hyperbolicity. Zbl 0921.58040
Takens, F.
1
1997
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.
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
Broer, H. W. (ed.); van Gils, S. A. (ed.); Hoveijn, I. (ed.); Takens, F. (ed.)
1
1996
Reduction entropy. Zbl 0885.58041
Takens, Floris
1
1995
Singularities of gradient vector fields and moduli. Zbl 0614.58033
Takens, Floris
1
1985
Symmetries, conservation laws and symplectic structures; elementary systems. Zbl 0417.70007
Takens, F.
1
1979
Handbook of dynamical systems. Volume 3. Reprint of the 2010 hardback edition. Zbl 1349.37002
Broer, Henk (ed.); Hasselblatt, Boris (ed.); Takens, Floris (ed.)
1
2016
Dynamical systems and chaos. Zbl 1218.37001
Broer, Henk; Takens, Floris
19
2011
Preliminaries of dynamical systems theory. Zbl 1241.37004
Broer, H. W.; Takens, F.
6
2010
Reconstruction theory and nonlinear time series analysis. Zbl 1260.37057
Takens, Floris
4
2010
Local invariant manifolds and normal forms. Zbl 1248.37005
Takens, Floris; Vanderbauwhede, André
2
2010
Handbook of dynamical systems. Volume 3. Zbl 1216.37002
Broer, Henk (ed.); Hasselblatt, Boris (ed.); Takens, Floris (ed.)
2
2010
Dynamical systems and chaos. Zbl 1283.37001
Broer, Henk; Takens, Floris
6
2009
Orbits with historic behaviour, or nonexistence of averages. Zbl 1147.37013
Takens, Floris
22
2008
Global properties of integrable Hamiltonian systems. Zbl 1229.37052
Lukina, O. V.; Takens, F.; Broer, H. W.
4
2008
Geometry of KAM tori for nearly integrable Hamiltonian systems. Zbl 1131.37057
Broer, Henk; Cushman, Richard; Fassó, Francesco; Takens, Floris
8
2007
Unicity of KAM tori. Zbl 1130.37376
Broer, Henk; Takens, Floris
5
2007
Multiplications in solenoids as hyperbolic attractors. Zbl 1074.37019
Takens, Floris
5
2005
On the variational principle for the topological entropy of certain non-compact sets. Zbl 1042.37020
Takens, Floris; Verbitskiy, Evgeny
58
2003
The reconstruction theorem for endomorphisms. Zbl 1032.37012
Takens, Floris
4
2002
Rényi entropies of aperiodic dynamical systems. Zbl 1044.37005
Takens, Floris; Verbitskiy, Evgeny
3
2002
Forced oscillations and bifurcations. Zbl 1156.37315
Takens, Floris
50
2001
Resonances in skew and reducible quasi-periodic Hopf bifurcations. Zbl 0989.37017
Takens, F.; Wagener, F. O. O.
10
2000
Intermittency and weak Gibbs states. Zbl 1005.37007
Maes, Christian; Redig, Frank; Takens, Floris; van Moffaert, Annelies; Verbitski, Evgeny
6
2000
General multifractal analysis of local entropies. Zbl 0964.37012
Takens, Floris; Verbitski, Evgeny
5
2000
Multifractal analysis of dimensions and entropies. Zbl 0970.37002
Takens, F.; Verbitski, E.
3
2000
Multifractal analysis of local entropies for expansive homeomorphisms with specification. Zbl 0955.37002
Takens, Floris; Verbitski, Evgeny
32
1999
Integrable and non-integrable deformations of the skew Hopf bifurcation. Zbl 1012.37031
Broer, H. W.; Takens, F.; Wagener, F. O. O.
5
1999
Generalized entropies: Rényi and correlation integral approach. Zbl 0943.37004
Takens, Floris; Verbitski, Evgeny
14
1998
Generalized entropies. Zbl 0929.37001
Verbitskij, E. A.; Takens, F.
1
1998
Spatio-temporal chaos: a solvable model. Zbl 0894.58032
Diks, C.; Takens, F.; DeGoede, J.
3
1997
Chaos in systems beyond hyperbolicity. Zbl 0921.58040
Takens, F.
1
1997
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.
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
Broer, H. W. (ed.); van Gils, S. A. (ed.); Hoveijn, I. (ed.); Takens, F. (ed.)
1
1996
Reduction entropy. Zbl 0885.58041
Takens, Floris
1
1995
Heteroclinic attractors: Time averages and moduli of topological conjugacy. Zbl 0801.58030
Takens, Floris
22
1994
Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations. Fractal dimensions and infinitely many attractors. Zbl 0790.58014
Palis, Jacob; Takens, Floris
279
1993
Detecting nonlinearities in stationary time series. Zbl 0871.62078
Takens, Floris
8
1993
Mixed spectra and rotational symmetry. Zbl 0789.58050
Broer, Henk; Takens, Floris
4
1993
Homoclinic tangencies: Moduli and topology of separatrices. Zbl 0783.58051
Posthumus, Rense A.; Takens, Floris
2
1993
Abundance of generic homoclinic tangencies in real-analytic families of diffeomorphisms. Zbl 0772.58037
Takens, Floris
6
1992
Structures in dynamics: finite dimensional deterministic studies. Zbl 0746.58002
Broer, H. W.; Dumortier, F.; van Strien, S. J.; Takens, F.
22
1991
Unfoldings and bifurcations of quasi-periodic tori. Zbl 0717.58043
Broer, H. W.; Huitema, G. B.; Takens, F.; Braaksma, B. L. J.
72
1990
Formally symmetric normal forms and genericity. Zbl 0704.58047
Broer, H. W.; Takens, F.
10
1989
Limit capacity and Hausdorff dimension of dynamically defined Cantor sets. Zbl 0661.58024
Takens, Floris
14
1988
Hyperbolicity and the creation of homoclinic orbits. Zbl 0641.58029
Palis, J.; Takens, F.
41
1987
Transitions from periodic to strange attractors in constrained equations. Zbl 0637.58018
Takens, 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 0696.58001
Palis, Jacob jun.; Takens, Floris
3
1987
Cycles and measure of bifurcation sets for two-dimensional diffeomorphisms. Zbl 0579.58005
Palis, J.; Takens, F.
14
1985
On the numerical determination of the dimension of an attractor. Zbl 0561.58027
Takens, Floris
14
1985
Dynamical systems and bifurcations. Proceedings of a Workshop held in Groningen, The Netherlands, April 16-20, 1984. Zbl 0552.00007
Braaksma, B. L. J. (ed.); Broer, H. W. (ed.); Takens, F. (ed.)
2
1985
Singularities of gradient vector fields and moduli. Zbl 0614.58033
Takens, Floris
1
1985
Rotation intervals of endomorphisms of the circle. Zbl 0605.58027
Bamon, 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 0569.58003
Takens, Floris
5
1984
Moduli of singularities of vector fields. Zbl 0526.58037
Takens, Floris
2
1984
Bifurcations and stability of families of diffeomorphisms. Zbl 0518.58031
Newhouse, S.; Palis, J.; Takens, F.
140
1983
Stability of parametrized families of gradient vector fields. Zbl 0533.58018
Palis, J.; Takens, F.
11
1983
Distinguishing deterministic and random systems. Zbl 0532.58017
Takens, F.
7
1983
Mechanical and gradient systems; local perturbations and generic properties. Zbl 0572.58008
Takens, Floris
6
1983
Detecting strange attractors in turbulence. Zbl 0513.58032
Takens, Floris
486
1981
Moduli and bifurcations: non-transversal intersections of invariant manifolds of vectorfields. Zbl 0473.58018
Takens, Floris
15
1980
Motion under the influence of a strong constraining force. Zbl 0458.58010
Takens, Floris
9
1980
A global version of the inverse problem of the calculus of variations. Zbl 0463.58015
Takens, Floris
61
1979
Characterization of a differentiable structure by its group of diffeomorphisms. Zbl 0447.58002
Takens, Floris
8
1979
Global phenomena in bifurcations of dynamical systems with simple recurrence. Zbl 0419.58012
Takens, F.
8
1979
Symmetries, conservation laws and symplectic structures; elementary systems. Zbl 0417.70007
Takens, F.
1
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.
115
1978
Topological equivalence of normally hyperbolic dynamical systems. Zbl 0391.58015
Palis, J.; Takens, F.
26
1977
Symmetries, conservation laws and variational principles. Zbl 0368.49019
Takens, Floris
9
1977
Constrained equations; a study of implicit differential equations and their discontinuous solutions. Zbl 0386.34003
Takens, Floris
22
1976
Stable arcs of diffeomorphisms. Zbl 0339.58008
Newhouse, Sheldon; Palis, Jacob; Takens, Floris
12
1976
Implicit differential equations; some open problems. Zbl 0354.34017
Takens, Floris
5
1976
Vector fields with no nonwandering points. Zbl 0339.58009
Takens, Floris; White, Warren
4
1976
Constrained differential equations. Zbl 0331.34001
Takens, Floris
6
1975
Tolerance stability. Zbl 0321.54022
Takens, Floris
4
1975
Height functions on surfaces with three critical points. Zbl 0311.57022
Banchoff, Thomas; Takens, Floris
3
1975
Geometric aspects of non-linear R.L.C. networks. Zbl 0335.34025
Takens, Floris
2
1975
Singularities of vector fields. Zbl 0279.58009
Takens, Floris
268
1973
Normal forms for certain singularities of vectorfields. Zbl 0266.34046
Takens, Floris
89
1973
Unfoldings of certain singularities of vectorfields: Generalized Hopf bifurcations. Zbl 0273.35009
Takens, Floris
63
1973
Derivations of vector fields. Zbl 0258.58005
Takens, Floris
17
1973
A nonstabilizable jet of a singularity of a vector field. Zbl 0283.58009
Takens, Floris
6
1973
Characterization of compactness for symplectic manifolds. Zbl 0378.58004
Dumortier, F.; Takens, F.
2
1973
Generic properties of geodesic flows. Zbl 0225.58006
Klingenberg, W.; Takens, F.
24
1972
Homoclinic points in conservative systems. Zbl 0247.58007
Takens, Floris
22
1972
Some remarks on the Böhme-Berger bifurcation theorem. Zbl 0237.47032
Takens, Floris
21
1972
Singularities of functions and vectorfields. Zbl 0237.58012
Takens, Floris
5
1972
On the nature of turbulence. Zbl 0223.76041
Ruelle, David; Takens, Floris
457
1971
Note concerning our paper ”On the nature of turbulence”. Commun. math. Phys. 20, 167-192 (1971). Zbl 0227.76084
Ruelle, D.; Takens, F.
122
1971
Partially hyperbolic fixed points. Zbl 0214.22901
Takens, F.
54
1971
On Zeeman’s tolerance stability conjecture. Zbl 0217.48303
Takens, F.
9
1971
A note on sufficiency of jets. Zbl 0231.58008
Takens, Floris
7
1971
A \(C^ i\) counterexample to Moser’s twist theorem. Zbl 0235.58009
Takens, Floris
6
1971
Morse theory of double normals of immersions. Zbl 0228.58007
Takens, Floris; White, James
2
1971
The Lusternik-Schnirelman categories of a product space. Zbl 0198.28302
Takens, F.
10
1970
Hamiltonian systems: Generic properties of closed orbits and local perturbations. Zbl 0191.21602
Takens, Floris
10
1970
The minimal number of critical points of a function on a compact manifold and the Lusternik-Schnirelman category. Zbl 0198.56603
Takens, F.
25
1968
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)

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