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Eckmann, Jean-Pierre

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Author ID: eckmann.jean-pierre Recent zbMATH articles by "Eckmann, Jean-Pierre"
Published as: Eckmann, J.-P.; Eckmann, Jean-Pierre; Eckmann, J. P.; Eckmann, J. P; Eckmann, J-P
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Documents Indexed: 125 Publications since 1968, including 8 Books

Publications by Year

Citations contained in zbMATH Open

109 Publications have been cited 2,705 times in 2,210 Documents Cited by Year
Ergodic theory of chaos and strange attractors. Zbl 0989.37516
Eckmann, J. P.; Ruelle, D.
760
1985
Iterated maps on the interval as dynamical systems. Zbl 0458.58002
Collet, Pierre; Eckmann, Jean-Pierre
287
1980
On the abundance of aperiodic behaviour for maps on the interval. Zbl 0441.58011
Collet, P.; Eckmann, J.-P.
148
1980
Roads to turbulence in dissipative dynamical systems. Zbl 1114.37301
Eckmann, J.-P.
83
1981
Non-equilibrium statistical mechanics of anharmonic chains coupled to two heat baths at different temperatures. Zbl 0932.60103
Eckmann, J.-P.; Pillet, C.-A.; Rey-Bellet, L.
76
1999
Universal properties of maps on an interval. Zbl 0455.58024
Collet, P.; Eckmann, J.-P.; Lanford, O. E. III
65
1980
Instabilities and fronts in extended systems. Zbl 0732.35074
Collet, Pierre; Eckmann, Jean-Pierre
62
1990
A global attracting set for the Kuramoto-Sivashinsky equation. Zbl 0777.35073
Collet, Pierre; Eckmann, Jean-Pierre; Epstein, Henri; Stubbe, Joachim
62
1993
Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems. Zbl 0759.58030
Eckmann, J.-P.; Ruelle, D.
53
1992
The time dependent amplitude equation for the Swift-Hohenberg problem. Zbl 0756.35096
Collet, P.; Eckmann, J.-P.
52
1990
Positive Liapunov exponents and absolute continuity for maps of the interval. Zbl 0532.28014
Collet, P.; Eckmann, J.-P.
51
1983
Properties of continuous maps of the interval to itself. Zbl 0456.58016
Collet, P.; Eckmann, J.-P.
49
1980
Non-equilibrium statistical mechanics of strongly anharmonic chains of oscillators. Zbl 1044.82008
Eckmann, J.-P.; Hairer, M.
40
2000
Spectral properties of hypoelliptic operators. Zbl 1040.35016
Eckmann, J.-P.; Hairer, M.
35
2003
Nonequilibrium energy profiles for a class of 1-D models. Zbl 1113.82066
Eckmann, J.-P.; Young, L.-S
33
2006
Period doubling bifurcations for families of maps on \(R^ n\). Zbl 0521.58041
Collet, P.; Eckmann, J.-P.; Koch, H.
33
1981
Uniqueness of the invariant measure for a stochastic PDE driven by degenerate noise. Zbl 0983.60058
Eckmann, J.-P.; Hairer, M.
33
2001
A computer-assisted proof of universality for area-preserving maps. Zbl 0528.58033
Eckmann, J.-P.; Koch, H.; Wittwer, P.
30
1984
Entropy production in nonlinear, thermally driven Hamiltonian systems. Zbl 0964.82051
Eckmann, Jean-Pierre; Pillet, Claude-Alain; Rey-Bellet, Luc
30
1999
Analyticity for the Kuramoto-Sivashinsky equation. Zbl 0785.35093
Collet, P.; Eckmann, J.-P.; Epstein, H.; Stubbe, J.
29
1993
An application of modular Hilbert algebras: Duality for free Bose fields. Zbl 0262.46068
Eckmann, Jean-Pierre; Osterwalder, Konrad
27
1973
Computer methods and Borel summability applied to Feigenbaum’s equation. Zbl 0598.58040
Eckmann, Jean-Pierre; Wittwer, Peter
25
1985
A complete proof of the Feigenbaum conjectures. Zbl 0683.46052
Eckmann, Jean-Pierre; Wittwer, Peter
24
1987
Propagating fronts and the center manifold theorem. Zbl 0790.34045
Eckmann, J.-P.; Wayne, C. E.
23
1991
Space-time behaviour in problems of hydrodynamic type: A case study. Zbl 0757.35059
Collet, P.; Eckmann, J.-P.
21
1992
Coarsening by Ginzburg-Landau dynamics. Zbl 1057.35508
Eckmann, J.-P.; Rougemont, J.
20
1998
Invariant measures for stochastic partial differential equations in unbounded domains. Zbl 0970.60071
Eckmann, J.-P.; Hairer, M.
18
2001
Computing the topological entropy of maps. Zbl 0529.58029
Collet, P.; Crutchfield, J. P.; Eckmann, J.-P.
17
1983
The existence of dendritic fronts. Zbl 0711.35061
Collet, P.; Eckmann, J. P
16
1986
On the abundance of aperiodic behaviour for maps on the unit interval. Zbl 0465.58018
Collet, P.; Eckmann, J.-P.
16
1980
Temperature profiles in Hamiltonian heat conduction. Zbl 1136.82368
Eckmann, J.-P.; Young, L.-S.
15
2004
Extensive properties of the complex Ginzburg-Landau equation. Zbl 0920.35071
Collet, Pierre; Eckmann, Jean-Pierre
15
1999
The nonlinear stability of front solutions for parabolic partial differential equations. Zbl 0817.35036
Eckmann, Jean-Pierre; Wayne, C. Eugene
15
1994
Iterated maps on the interval as dynamical systems. Reprint of the 1980 original. Zbl 1192.37003
Collet, Pierre; Eckmann, Jean-Pierre
15
2009
On universality for area-preserving maps of the plane. Zbl 1194.37050
Collet, P.; Eckmann, J.-P.; Koch, H.
14
1981
Remarks on bootstrap percolation in metric networks. Zbl 1168.82014
Tlusty, T.; Eckmann, J-P
13
2009
Entropy of dialogues creates coherent structures in e-mail traffic. Zbl 1072.37516
Eckmann, Jean-Pierre; Moses, Elisha; Sergi, Danilo
13
2004
Non-equilibrium steady state and subgeometric ergodicity for a chain of three coupled rotors. Zbl 1328.82029
Cuneo, N.; Eckmann, J.-P.; Poquet, C.
12
2015
Geometric stability analysis for periodic solutions of the Swift-Hohenberg equation. Zbl 0912.35140
Eckmann, Jean-Pierre; Wayne, C. Eugene; Wittwer, Peter
12
1997
Route to chaos with special emphasis on period doubling. Zbl 0616.58032
Eckmann, J. P.
12
1983
The definition and measurement of the topological entropy per unit volume in parabolic PDEs. Zbl 0984.37095
Collet, P.; Eckmann, J.-P.
12
1999
Hypercontractivity for anharmonic oscillators. Zbl 0285.47032
Eckmann, J.-P.; Pearson, D.
12
1974
Intermittency in the presence of noise. Zbl 0476.76075
Eckmann, J.-P.; Thomas, L.; Wittwer, P.
11
1981
A model with persistent vacuum. Zbl 0203.27901
Eckmann, J.-P.
11
1970
A model of heat conduction. Zbl 1247.80006
Collet, P.; Eckmann, J.-P.
11
2009
Quasi-free generalized K-flows. Zbl 0385.46036
Emch, Gerard G.; Albeverio, Sergio; Eckmann, Jean-Pierre
10
1978
Non-equilibrium steady states for chains of four rotors. Zbl 1343.60092
Cuneo, N.; Eckmann, J.-P.
10
2016
Resonances for intermittent systems. Zbl 0673.58030
Baladi, V.; Eckmann, J.-P.; Ruelle, D.
10
1989
Unitary equivalence of local algebras in the quasifree representation. Zbl 0287.46077
Eckmann, J.-P.; Fröhlich, J.
10
1974
Resonances in dynamical systems. Zbl 0726.70017
Eckmann, J.-P.
9
1989
Concepts and results in chaotic dynamics. A short course. Zbl 1107.37001
Collet, Pierre; Eckmann, Jean-Pierre
9
2006
Large deviations theory for Markov jump models of chemical reaction networks. Zbl 1410.60034
Agazzi, Andrea; Dembo, Amir; Eckmann, Jean-Pierre
9
2018
The stability of modulated fronts. Zbl 0711.35062
Collet, Pierre; Eckmann, Jean-Pierre
8
1987
\(q\)-analysis of fractal sets. Zbl 0949.28007
Erzan, Ayşe; Eckmann, Jean-Pierre
8
1997
Spectral duality for planar billiards. Zbl 0834.35096
Eckmann, Jean-Pierre; Pillet, Claude-Alain
8
1995
Non-equilibrium steady states for networks of oscillators. Zbl 1397.82033
Cuneo, Noé; Eckmann, Jean-Pierre; Hairer, Martin; Rey-Bellet, Luc
8
2018
Fixed points of Feigenbaum’s type for the equation \(f^ p(\lambda x)\equiv \lambda f(x)\). Zbl 0565.58031
Eckmann, J.-P.; Epstein, H.; Wittwer, P.
8
1984
Study of the iterations of a mapping associated to a spin glass model. Zbl 0553.60099
Collet, P.; Eckmann, J.-P.; Glaser, V.; Martin, A.
8
1984
Porosities and dimensions of measures. Zbl 1022.28002
Eckmann, Jean-Pierre; Järvenpää, Esa; Järvenpää, Maarit
8
2000
Bounds on the unstable eigenvalue for period doubling. Zbl 0704.58040
Eckmann, J.-P.; Epstein, H.
7
1990
Solutions without phase-slip for the Ginsburg-Landau equation. Zbl 0748.35044
Collet, P.; Eckmann, J.-P.
7
1992
Liapunov spectra for infinite chains of nonlinear oscillators. Zbl 1084.37500
Eckmann, Jean-Pierre; Wayne, C. Eugene
7
1988
On the existence of fixed points of the composition operator for circle maps. Zbl 0603.58004
Eckmann, J.-P.; Epstein, H.
7
1986
Non-linear stability of modulated fronts for the Swift-Hohenberg equation. Zbl 0994.35057
Eckmann, J.-P.; Schneider, G.
7
2002
Zeta functions with Dirichlet and Neumann boundary conditions for exterior domains. Zbl 0871.35070
Eckmann, J.-P.; Pillet, C.-A.
6
1997
Memory effects in nonequilibrium transport for deterministic Hamiltonian systems. Zbl 1113.82067
Eckmann, Jean-Pierre; Mejía-Monasterio, Carlos; Zabey, Emmanuel
6
2006
The existence of dendritic fronts. Zbl 0629.35062
Collet, P.; Eckmann, J.-P.
6
1986
Nonlinear stability of bifurcating front solutions for the Taylor-Couette problem. Zbl 0967.35109
Eckmann, J.-P.; Schneider, G.
6
2000
The Maslov-WKB method for the (an-) harmonic oscillator. Zbl 0332.34053
Eckmann, J.-P.; Seneor, R.
5
1976
Lyapunov exponents. Proceedings of a conference, held in Oberwolfach, Germany, May 28-June 2, 1990. Zbl 0733.00015
Arnold, Ludwig (ed.); Crauel, Hans (ed.); Eckmann, Jean-Pierre (ed.)
5
1991
Lyapunov modes in hard-disk systems. Zbl 1074.82002
Eckmann, Jean-Pierre; Forster, Christina; Posch, Harald A.; Zabey, Emmanuel
5
2005
Normal forms for parabolic partial differential equations. Zbl 0791.35057
Eckmann, J.-P.; Epstein, H.; Wayne, C. E.
5
1993
The colored Hofstadter butterfly for the honeycomb lattice. Zbl 1296.82003
Agazzi, A.; Eckmann, J.-P.; Graf, G. M.
4
2014
Topological entropy and \(\varepsilon\)-entropy for damped hyperbolic equations. Zbl 0963.37020
Collet, P.; Eckmann, J.-P.
4
2000
Strange heat flux in (an)harmonic networks. Zbl 1060.82038
Eckmann, J.-P.; Zabey, E.
4
2004
A note on the power spectrum of the iterates of Feigenbaum’s function. Zbl 0477.39002
Collet, P.; Eckmann, J.-P.; Thomas, L.
4
1981
Controllability for chains of dynamical scatterers. Zbl 1119.70019
Eckmann, Jean-Pierre; Jacquet, Philippe
4
2007
Front solutions for the Ginzburg-Landau equation. Zbl 0773.35072
Eckmann, J.-P.; Gallay, Th.
4
1993
Transport properties of the Lorentz gas in terms of periodic orbits. Zbl 0905.58048
Cvitanović, Predrag; Eckmann, Jean-Pierre; Gaspard, Pierre
4
1995
A spin-glass model with random couplings. Zbl 0553.60098
Collet, P.; Eckmann, J.-P.
4
1984
Controlling general polynomial networks. Zbl 1294.82025
Cuneo, N.; Eckmann, J.-P.
4
2014
Superdiffusive heat transport in a class of deterministic one-dimensional many-particle Lorentz gases. Zbl 1180.82149
Collet, Pierre; Eckmann, Jean-Pierre; Mejía-Monasterio, Carlos
3
2009
Hydrodynamic Lyapunov modes in translation-invariant systems. Zbl 1038.37042
Eckmann, Jean-Pierre; Gat, Omri
3
2000
Phase slips and the Eckhaus instability. Zbl 0846.35032
Eckmann, J.-P.; Gallay, Th.; Wayne, C. E.
3
1995
Imitation and contrarian behaviour: hyperbolic bubbles, crashes and chaos. Zbl 1405.91405
Corcos, A.; Eckmann, J.-P.; Malaspinas, A.; Malevergne, Y.; Sornette, D.
3
2002
On the geometry of chemical reaction networks: Lyapunov function and large deviations. Zbl 1401.60042
Agazzi, A.; Dembo, A.; Eckmann, J.-P.
3
2018
Dual fronts propagating into an unstable state. Zbl 0810.35035
Elmer, F. J.; Eckmann, J.-P.; Hartsleben, G.
3
1994
The number of large graphs with a positive density of triangles. Zbl 1011.05028
Collet, P.; Eckmann, J.-P.
3
2002
A rigorous upper bound on the propagation speed for the Swift-Hohenberg and related equations. Zbl 1124.35322
Collet, P.; Eckmann, J.-P.
3
2002
Rattling and freezing in a 1D transport model. Zbl 1207.82040
Eckmann, Jean-Pierre; Young, Lai-Sang
3
2011
Trees of nuclei and bounds on the number of triangulations of the 3-ball. Zbl 1317.57013
Collet, P.; Eckmann, J.-P.; Younan, M.
3
2014
Liapunov multipliers and decay of correlations in dynamical systems. Zbl 1157.37306
Collet, P.; Eckmann, J.-P.
3
2004
The generation of spatio-temporal chaos in large aspect ratio hydrodynamics. Zbl 0743.76034
Eckmann, J.-P.; Procaccia, I.
2
1991
Addendum: Ergodic theory of chaos and strange attractors. Zbl 1396.37043
Eckmann, J. P.; Ruelle, D.
2
1985
Scaling of Mandelbrot sets generated by critical point preperiodicity. Zbl 0587.30027
Eckmann, J.-P.; Epstein, H.
2
1985
The largest Lyapunov exponent for random matrices and directed polymers in a random environment. Zbl 0673.60066
Eckmann, J.-P.; Wayne, C. E.
2
1989
How do oscillating fronts form? Zbl 0697.35063
Collet, P.; Eckmann, J.-P.
2
1986
Representations of the CCR in the \((\phi^ 4)_ 3\) model: Independence of space cutoff. Zbl 0227.46075
Eckmann, Jean-Pierre
2
1972
Energy dissipation in Hamiltonian chains of rotators. Zbl 1456.37065
Cuneo, Noé; Eckmann, Jean-Pierre; Wayne, C. Eugene
1
2017
The onset of spatio-temporal chaos in extended physical systems. Zbl 1082.37505
Eckmann, J.-P.; Procaccia, I.
1
1991
Large deviations theory for Markov jump models of chemical reaction networks. Zbl 1410.60034
Agazzi, Andrea; Dembo, Amir; Eckmann, Jean-Pierre
9
2018
Non-equilibrium steady states for networks of oscillators. Zbl 1397.82033
Cuneo, Noé; Eckmann, Jean-Pierre; Hairer, Martin; Rey-Bellet, Luc
8
2018
On the geometry of chemical reaction networks: Lyapunov function and large deviations. Zbl 1401.60042
Agazzi, A.; Dembo, A.; Eckmann, J.-P.
3
2018
Energy dissipation in Hamiltonian chains of rotators. Zbl 1456.37065
Cuneo, Noé; Eckmann, Jean-Pierre; Wayne, C. Eugene
1
2017
Non-equilibrium steady states for chains of four rotors. Zbl 1343.60092
Cuneo, N.; Eckmann, J.-P.
10
2016
Non-equilibrium steady state and subgeometric ergodicity for a chain of three coupled rotors. Zbl 1328.82029
Cuneo, N.; Eckmann, J.-P.; Poquet, C.
12
2015
The colored Hofstadter butterfly for the honeycomb lattice. Zbl 1296.82003
Agazzi, A.; Eckmann, J.-P.; Graf, G. M.
4
2014
Controlling general polynomial networks. Zbl 1294.82025
Cuneo, N.; Eckmann, J.-P.
4
2014
Trees of nuclei and bounds on the number of triangulations of the 3-ball. Zbl 1317.57013
Collet, P.; Eckmann, J.-P.; Younan, M.
3
2014
Noise and topology in driven systems – an application to interface dynamics. Zbl 1261.37035
Barnes, Stewart E.; Eckmann, Jean-Pierre; Giamarchi, Thierry; Lecomte, Vivien
1
2012
Rattling and freezing in a 1D transport model. Zbl 1207.82040
Eckmann, Jean-Pierre; Young, Lai-Sang
3
2011
Iterated maps on the interval as dynamical systems. Reprint of the 1980 original. Zbl 1192.37003
Collet, Pierre; Eckmann, Jean-Pierre
15
2009
Remarks on bootstrap percolation in metric networks. Zbl 1168.82014
Tlusty, T.; Eckmann, J-P
13
2009
A model of heat conduction. Zbl 1247.80006
Collet, P.; Eckmann, J.-P.
11
2009
Superdiffusive heat transport in a class of deterministic one-dimensional many-particle Lorentz gases. Zbl 1180.82149
Collet, Pierre; Eckmann, Jean-Pierre; Mejía-Monasterio, Carlos
3
2009
Controllability for chains of dynamical scatterers. Zbl 1119.70019
Eckmann, Jean-Pierre; Jacquet, Philippe
4
2007
A topological glass. Zbl 1208.82066
Eckmann, Jean-Pierre
1
2007
Nonequilibrium energy profiles for a class of 1-D models. Zbl 1113.82066
Eckmann, J.-P.; Young, L.-S
33
2006
Concepts and results in chaotic dynamics. A short course. Zbl 1107.37001
Collet, Pierre; Eckmann, Jean-Pierre
9
2006
Memory effects in nonequilibrium transport for deterministic Hamiltonian systems. Zbl 1113.82067
Eckmann, Jean-Pierre; Mejía-Monasterio, Carlos; Zabey, Emmanuel
6
2006
Lyapunov modes in hard-disk systems. Zbl 1074.82002
Eckmann, Jean-Pierre; Forster, Christina; Posch, Harald A.; Zabey, Emmanuel
5
2005
Dynamics of triangulations. Zbl 1090.60061
Collet, P.; Eckmann, J.-P.
1
2005
Temperature profiles in Hamiltonian heat conduction. Zbl 1136.82368
Eckmann, J.-P.; Young, L.-S.
15
2004
Entropy of dialogues creates coherent structures in e-mail traffic. Zbl 1072.37516
Eckmann, Jean-Pierre; Moses, Elisha; Sergi, Danilo
13
2004
Strange heat flux in (an)harmonic networks. Zbl 1060.82038
Eckmann, J.-P.; Zabey, E.
4
2004
Liapunov multipliers and decay of correlations in dynamical systems. Zbl 1157.37306
Collet, P.; Eckmann, J.-P.
3
2004
Non-vanishing profiles for the Kuramoto-Sivashinsky equation on the infinite line. Zbl 1052.35072
van Baalen, G.; Eckmann, J.-P.
1
2004
Spectral properties of hypoelliptic operators. Zbl 1040.35016
Eckmann, J.-P.; Hairer, M.
35
2003
Non-linear stability of modulated fronts for the Swift-Hohenberg equation. Zbl 0994.35057
Eckmann, J.-P.; Schneider, G.
7
2002
Imitation and contrarian behaviour: hyperbolic bubbles, crashes and chaos. Zbl 1405.91405
Corcos, A.; Eckmann, J.-P.; Malaspinas, A.; Malevergne, Y.; Sornette, D.
3
2002
The number of large graphs with a positive density of triangles. Zbl 1011.05028
Collet, P.; Eckmann, J.-P.
3
2002
A rigorous upper bound on the propagation speed for the Swift-Hohenberg and related equations. Zbl 1124.35322
Collet, P.; Eckmann, J.-P.
3
2002
Nonequilibrium steady states. Zbl 1001.82073
Eckmann, J.-P.
1
2002
Uniqueness of the invariant measure for a stochastic PDE driven by degenerate noise. Zbl 0983.60058
Eckmann, J.-P.; Hairer, M.
33
2001
Invariant measures for stochastic partial differential equations in unbounded domains. Zbl 0970.60071
Eckmann, J.-P.; Hairer, M.
18
2001
Non-equilibrium statistical mechanics of strongly anharmonic chains of oscillators. Zbl 1044.82008
Eckmann, J.-P.; Hairer, M.
40
2000
Porosities and dimensions of measures. Zbl 1022.28002
Eckmann, Jean-Pierre; Järvenpää, Esa; Järvenpää, Maarit
8
2000
Nonlinear stability of bifurcating front solutions for the Taylor-Couette problem. Zbl 0967.35109
Eckmann, J.-P.; Schneider, G.
6
2000
Topological entropy and \(\varepsilon\)-entropy for damped hyperbolic equations. Zbl 0963.37020
Collet, P.; Eckmann, J.-P.
4
2000
Hydrodynamic Lyapunov modes in translation-invariant systems. Zbl 1038.37042
Eckmann, Jean-Pierre; Gat, Omri
3
2000
Non-equilibrium statistical mechanics of anharmonic chains coupled to two heat baths at different temperatures. Zbl 0932.60103
Eckmann, J.-P.; Pillet, C.-A.; Rey-Bellet, L.
76
1999
Entropy production in nonlinear, thermally driven Hamiltonian systems. Zbl 0964.82051
Eckmann, Jean-Pierre; Pillet, Claude-Alain; Rey-Bellet, Luc
30
1999
Extensive properties of the complex Ginzburg-Landau equation. Zbl 0920.35071
Collet, Pierre; Eckmann, Jean-Pierre
15
1999
The definition and measurement of the topological entropy per unit volume in parabolic PDEs. Zbl 0984.37095
Collet, P.; Eckmann, J.-P.
12
1999
Coarsening by Ginzburg-Landau dynamics. Zbl 1057.35508
Eckmann, J.-P.; Rougemont, J.
20
1998
Geometric stability analysis for periodic solutions of the Swift-Hohenberg equation. Zbl 0912.35140
Eckmann, Jean-Pierre; Wayne, C. Eugene; Wittwer, Peter
12
1997
\(q\)-analysis of fractal sets. Zbl 0949.28007
Erzan, Ayşe; Eckmann, Jean-Pierre
8
1997
Zeta functions with Dirichlet and Neumann boundary conditions for exterior domains. Zbl 0871.35070
Eckmann, J.-P.; Pillet, C.-A.
6
1997
Oscillations of observables in 1-dimensional lattice systems. Zbl 0897.70004
Collet, Pierre; Eckmann, Jean-Pierre
1
1997
Spectral duality for planar billiards. Zbl 0834.35096
Eckmann, Jean-Pierre; Pillet, Claude-Alain
8
1995
Transport properties of the Lorentz gas in terms of periodic orbits. Zbl 0905.58048
Cvitanović, Predrag; Eckmann, Jean-Pierre; Gaspard, Pierre
4
1995
Phase slips and the Eckhaus instability. Zbl 0846.35032
Eckmann, J.-P.; Gallay, Th.; Wayne, C. E.
3
1995
Scattering phases and density of states for exterior domains. Zbl 0834.35095
Eckmann, J.-P.; Pillet, C.-A.
1
1995
The nonlinear stability of front solutions for parabolic partial differential equations. Zbl 0817.35036
Eckmann, Jean-Pierre; Wayne, C. Eugene
15
1994
Dual fronts propagating into an unstable state. Zbl 0810.35035
Elmer, F. J.; Eckmann, J.-P.; Hartsleben, G.
3
1994
A global attracting set for the Kuramoto-Sivashinsky equation. Zbl 0777.35073
Collet, Pierre; Eckmann, Jean-Pierre; Epstein, Henri; Stubbe, Joachim
62
1993
Analyticity for the Kuramoto-Sivashinsky equation. Zbl 0785.35093
Collet, P.; Eckmann, J.-P.; Epstein, H.; Stubbe, J.
29
1993
Normal forms for parabolic partial differential equations. Zbl 0791.35057
Eckmann, J.-P.; Epstein, H.; Wayne, C. E.
5
1993
Front solutions for the Ginzburg-Landau equation. Zbl 0773.35072
Eckmann, J.-P.; Gallay, Th.
4
1993
Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems. Zbl 0759.58030
Eckmann, J.-P.; Ruelle, D.
53
1992
Space-time behaviour in problems of hydrodynamic type: A case study. Zbl 0757.35059
Collet, P.; Eckmann, J.-P.
21
1992
Solutions without phase-slip for the Ginsburg-Landau equation. Zbl 0748.35044
Collet, P.; Eckmann, J.-P.
7
1992
Propagating fronts and the center manifold theorem. Zbl 0790.34045
Eckmann, J.-P.; Wayne, C. E.
23
1991
Lyapunov exponents. Proceedings of a conference, held in Oberwolfach, Germany, May 28-June 2, 1990. Zbl 0733.00015
Arnold, Ludwig; Crauel, Hans; Eckmann, Jean-Pierre
5
1991
The generation of spatio-temporal chaos in large aspect ratio hydrodynamics. Zbl 0743.76034
Eckmann, J.-P.; Procaccia, I.
2
1991
The onset of spatio-temporal chaos in extended physical systems. Zbl 1082.37505
Eckmann, J.-P.; Procaccia, I.
1
1991
Instabilities and fronts in extended systems. Zbl 0732.35074
Collet, Pierre; Eckmann, Jean-Pierre
62
1990
The time dependent amplitude equation for the Swift-Hohenberg problem. Zbl 0756.35096
Collet, P.; Eckmann, J.-P.
52
1990
Bounds on the unstable eigenvalue for period doubling. Zbl 0704.58040
Eckmann, J.-P.; Epstein, H.
7
1990
Resonances for intermittent systems. Zbl 0673.58030
Baladi, V.; Eckmann, J.-P.; Ruelle, D.
10
1989
Resonances in dynamical systems. Zbl 0726.70017
Eckmann, J.-P.
9
1989
The largest Lyapunov exponent for random matrices and directed polymers in a random environment. Zbl 0673.60066
Eckmann, J.-P.; Wayne, C. E.
2
1989
Liapunov spectra for infinite chains of nonlinear oscillators. Zbl 1084.37500
Eckmann, Jean-Pierre; Wayne, C. Eugene
7
1988
A complete proof of the Feigenbaum conjectures. Zbl 0683.46052
Eckmann, Jean-Pierre; Wittwer, Peter
24
1987
The stability of modulated fronts. Zbl 0711.35062
Collet, Pierre; Eckmann, Jean-Pierre
8
1987
The existence of dendritic fronts. Zbl 0711.35061
Collet, P.; Eckmann, J. P
16
1986
On the existence of fixed points of the composition operator for circle maps. Zbl 0603.58004
Eckmann, J.-P.; Epstein, H.
7
1986
The existence of dendritic fronts. Zbl 0629.35062
Collet, P.; Eckmann, J.-P.
6
1986
How do oscillating fronts form? Zbl 0697.35063
Collet, P.; Eckmann, J.-P.
2
1986
Multiplicative and additive renormalization. Zbl 0697.30025
Eckmann, J.-P.; Wittwer, P.
1
1986
Ergodic theory of chaos and strange attractors. Zbl 0989.37516
Eckmann, J. P.; Ruelle, D.
760
1985
Computer methods and Borel summability applied to Feigenbaum’s equation. Zbl 0598.58040
Eckmann, Jean-Pierre; Wittwer, Peter
25
1985
Addendum: Ergodic theory of chaos and strange attractors. Zbl 1396.37043
Eckmann, J. P.; Ruelle, D.
2
1985
Scaling of Mandelbrot sets generated by critical point preperiodicity. Zbl 0587.30027
Eckmann, J.-P.; Epstein, H.
2
1985
A computer-assisted proof of universality for area-preserving maps. Zbl 0528.58033
Eckmann, J.-P.; Koch, H.; Wittwer, P.
30
1984
Fixed points of Feigenbaum’s type for the equation \(f^ p(\lambda x)\equiv \lambda f(x)\). Zbl 0565.58031
Eckmann, J.-P.; Epstein, H.; Wittwer, P.
8
1984
Study of the iterations of a mapping associated to a spin glass model. Zbl 0553.60099
Collet, P.; Eckmann, J.-P.; Glaser, V.; Martin, A.
8
1984
A spin-glass model with random couplings. Zbl 0553.60098
Collet, P.; Eckmann, J.-P.
4
1984
Positive Liapunov exponents and absolute continuity for maps of the interval. Zbl 0532.28014
Collet, P.; Eckmann, J.-P.
51
1983
Computing the topological entropy of maps. Zbl 0529.58029
Collet, P.; Crutchfield, J. P.; Eckmann, J.-P.
17
1983
Route to chaos with special emphasis on period doubling. Zbl 0616.58032
Eckmann, J. P.
12
1983
Roads to turbulence in dissipative dynamical systems. Zbl 1114.37301
Eckmann, J.-P.
83
1981
Period doubling bifurcations for families of maps on \(R^ n\). Zbl 0521.58041
Collet, P.; Eckmann, J.-P.; Koch, H.
33
1981
On universality for area-preserving maps of the plane. Zbl 1194.37050
Collet, P.; Eckmann, J.-P.; Koch, H.
14
1981
Intermittency in the presence of noise. Zbl 0476.76075
Eckmann, J.-P.; Thomas, L.; Wittwer, P.
11
1981
A note on the power spectrum of the iterates of Feigenbaum’s function. Zbl 0477.39002
Collet, P.; Eckmann, J.-P.; Thomas, L.
4
1981
Iterated maps on the interval as dynamical systems. Zbl 0458.58002
Collet, Pierre; Eckmann, Jean-Pierre
287
1980
On the abundance of aperiodic behaviour for maps on the interval. Zbl 0441.58011
Collet, P.; Eckmann, J.-P.
148
1980
Universal properties of maps on an interval. Zbl 0455.58024
Collet, P.; Eckmann, J.-P.; Lanford, O. E. III
65
1980
Properties of continuous maps of the interval to itself. Zbl 0456.58016
Collet, P.; Eckmann, J.-P.
49
1980
...and 9 more Documents
all top 5

Cited by 2,939 Authors

40 Eckmann, Jean-Pierre
25 Young, Lai-Sang
24 Schneider, Guido
18 Collet, Pierre
15 Mireles-James, Jason D.
14 Hairer, Martin
13 Leonel, Edson Denner
12 Blömker, Dirk
12 Chen, Lansun
12 Gallavotti, Giovanni M.
12 Lucarini, Valerio
12 Tresser, Charles
12 Yorke, James Alan
11 Carroll, Thomas L.
11 Misiurewicz, Michał
11 Scheel, Arnd
11 van Strien, Sebastian J.
10 Albeverio, Sergio A.
10 Mielke, Alexander
10 Przytycki, Feliks
10 Yang, Xiaosong
9 Barnsley, Michael Fielding
9 Bollt, Erik M.
9 Cao, Kefei
9 Chekroun, Mickaël D.
9 de la Llave, Rafael
9 Gaspard, Pierre
9 Ghil, Michael
9 Kukavica, Igor
9 Ruelle, David Pierre
9 Wayne, Clarence Eugene
8 Derrida, Bernard
8 Kurths, Jürgen
8 Lebowitz, Joel Louis
8 Mattingly, Jonathan Christopher
8 Mihailescu, Eugen Gh.
8 Titi, Edriss Saleh
8 Wang, Xingyuan
8 Zelik, Sergey V.
7 Brucks, Karen M.
7 Gallay, Thierry
7 Gardini, Laura
7 Huang, Yan
7 Kupiainen, Antti
7 Lessard, Jean-Philippe
7 Levin, Genadi M.
7 Martens, Marco
7 Melbourne, Ian
7 Nusse, Helena Engelina
7 Peng, Shouli
7 Pesin, Yakov Borisovich
7 Potapov, Alexei B.
7 Stoltz, Gabriel
7 Świątek, Grzegorz
7 Vaienti, Sandro
6 Amigó, José María
6 Antoniou, Ioannis E.
6 Arneodo, Alain
6 Bountis, Tassos C.
6 Bricmont, Jean
6 Bruin, Henk
6 Caldas, Iberê L.
6 Celletti, Alessandra
6 Gao, Shujing
6 Giberti, Claudio
6 Grebogi, Celso
6 Holzer, Matt
6 Ivanov, Anatoli F.
6 Kantz, Holger
6 Koch, Hans-Friedrich
6 Kuznetsov, Sergey P.
6 Letellier, Christophe
6 Lin, Kevin K.
6 Lyubich, Mikhail Yur’evich
6 Morriss, Gary P.
6 Nowicki, Tomasz
6 Politi, Antonio Z.
6 Robinson, James Cooper
6 Rondoni, Lamberto
6 Sornette, Didier
6 Tél, Tamás
6 Wang, Bixiang
5 Abarbanel, Henry D. I.
5 Baptista, Murilo S.
5 Block, Louis Stuart
5 Bunimovich, Leonid Abramovich
5 Cencini, Massimo
5 Chen, Guanrong
5 Cosnard, Michel Y.
5 Danca, Marius-Florin
5 Duan, Jinqiao
5 Düll, Wolf-Patrick
5 Dymov, Andrey V.
5 Epstein, Henri
5 Ershov, Sergey V.
5 Faranda, Davide
5 Faye, Grégory
5 Gaidashev, Denis G.
5 Giona, Massimiliano
5 Glendinning, Paul Alexander
...and 2,839 more Authors
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Cited in 343 Serials

210 Physica D
181 Journal of Statistical Physics
137 Communications in Mathematical Physics
136 Chaos
109 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
100 Chaos, Solitons and Fractals
42 Ergodic Theory and Dynamical Systems
41 Journal of Differential Equations
40 Journal of Mathematical Physics
30 Journal of Nonlinear Science
26 Nonlinear Dynamics
25 Transactions of the American Mathematical Society
23 Journal of Mathematical Analysis and Applications
23 Discrete and Continuous Dynamical Systems
22 Physics Letters. A
20 Journal of Dynamics and Differential Equations
19 Communications in Nonlinear Science and Numerical Simulation
18 Applied Mathematics and Computation
17 Stochastic Processes and their Applications
17 Physics of Fluids
16 Journal of Mathematical Biology
16 Physica A
16 Journal of Functional Analysis
16 Nonlinear Analysis. Theory, Methods & Applications
15 Topology and its Applications
14 Journal of Fluid Mechanics
13 Inventiones Mathematicae
11 Communications on Pure and Applied Mathematics
11 Nonlinearity
11 Advances in Mathematics
11 Proceedings of the American Mathematical Society
10 International Journal of Theoretical Physics
10 Israel Journal of Mathematics
10 The Annals of Probability
10 Journal of Economic Theory
10 Annales de l’Institut Henri Poincaré. Physique Théorique
10 Discrete and Continuous Dynamical Systems. Series B
9 Letters in Mathematical Physics
9 Mathematical Biosciences
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Stochastic Analysis and Applications
9 Physical Review Letters
9 Nonlinear Analysis. Real World Applications
9 Entropy
9 SIAM Journal on Applied Dynamical Systems
8 International Journal of Modern Physics B
8 Journal of Computational Physics
8 Mathematical Methods in the Applied Sciences
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 Bulletin of Mathematical Biology
8 Advances in Applied Mathematics
8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
8 Journal of Difference Equations and Applications
8 Mathematical Problems in Engineering
8 Journal of Statistical Mechanics: Theory and Experiment
7 Physics Reports
7 Journal of Economic Dynamics & Control
7 Bulletin of the American Mathematical Society. New Series
7 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
7 Annales Henri Poincaré
7 Stochastics and Dynamics
6 Archive for Rational Mechanics and Analysis
6 Biological Cybernetics
6 Computers & Mathematics with Applications
6 Reviews in Mathematical Physics
6 Probability Theory and Related Fields
6 Communications in Partial Differential Equations
6 SIAM Journal on Mathematical Analysis
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Proceedings of the Steklov Institute of Mathematics
6 Journal of Theoretical Biology
5 Theoretical Population Biology
5 Applied Mathematics Letters
5 Dynamics and Stability of Systems
5 The Annals of Applied Probability
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
5 Celestial Mechanics and Dynamical Astronomy
5 Economic Theory
5 International Journal of Modern Physics C
5 Advances in Complex Systems
4 Journal of the Franklin Institute
4 Annales de l’Institut Fourier
4 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
4 Journal of Computational and Applied Mathematics
4 Journal of Soviet Mathematics
4 Memoirs of the American Mathematical Society
4 Theoretical Computer Science
4 Applied Numerical Mathematics
4 Economics Letters
4 European Journal of Operational Research
4 Pattern Recognition
4 Indagationes Mathematicae. New Series
4 Acta Mathematica Sinica. English Series
4 Science China. Mathematics
3 Modern Physics Letters B
3 Bulletin of the Australian Mathematical Society
3 Geophysical and Astrophysical Fluid Dynamics
3 General Relativity and Gravitation
3 Journal d’Analyse Mathématique
...and 243 more Serials
all top 5

Cited in 56 Fields

1,282 Dynamical systems and ergodic theory (37-XX)
368 Partial differential equations (35-XX)
267 Statistical mechanics, structure of matter (82-XX)
245 Ordinary differential equations (34-XX)
234 Probability theory and stochastic processes (60-XX)
171 Biology and other natural sciences (92-XX)
168 Fluid mechanics (76-XX)
115 Numerical analysis (65-XX)
103 Quantum theory (81-XX)
83 Measure and integration (28-XX)
81 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
79 Statistics (62-XX)
76 Difference and functional equations (39-XX)
74 Systems theory; control (93-XX)
70 Mechanics of particles and systems (70-XX)
66 Operator theory (47-XX)
62 Information and communication theory, circuits (94-XX)
61 General topology (54-XX)
54 Functional analysis (46-XX)
52 Computer science (68-XX)
51 Real functions (26-XX)
41 Global analysis, analysis on manifolds (58-XX)
36 Classical thermodynamics, heat transfer (80-XX)
34 Geophysics (86-XX)
28 Combinatorics (05-XX)
23 Functions of a complex variable (30-XX)
18 Optics, electromagnetic theory (78-XX)
16 Operations research, mathematical programming (90-XX)
15 Mechanics of deformable solids (74-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
12 Number theory (11-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
12 Relativity and gravitational theory (83-XX)
11 Approximations and expansions (41-XX)
11 Calculus of variations and optimal control; optimization (49-XX)
11 Manifolds and cell complexes (57-XX)
9 Differential geometry (53-XX)
7 Topological groups, Lie groups (22-XX)
6 General and overarching topics; collections (00-XX)
6 Mathematical logic and foundations (03-XX)
6 Integral equations (45-XX)
6 Astronomy and astrophysics (85-XX)
5 History and biography (01-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Convex and discrete geometry (52-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
3 Special functions (33-XX)
3 Abstract harmonic analysis (43-XX)
2 Algebraic geometry (14-XX)
2 Nonassociative rings and algebras (17-XX)
2 Sequences, series, summability (40-XX)
2 Integral transforms, operational calculus (44-XX)
2 Algebraic topology (55-XX)
1 Associative rings and algebras (16-XX)
1 Group theory and generalizations (20-XX)
1 Potential theory (31-XX)

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