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Author ID: iooss.gerard Recent zbMATH articles by "Iooss, Gérard"
Published as: Iooss, Gérard; Iooss, G.; Iooss, Gerard
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Serials

15 Archive for Rational Mechanics and Analysis
9 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
7 Physica D
7 Journal of Mathematical Fluid Mechanics
5 Comptes Rendus de l’Académie des Sciences. Série I
4 Journal of Differential Equations
4 European Journal of Mechanics. B. Fluids
3 Communications in Mathematical Physics
3 Nonlinearity
3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
2 Monatshefte für Mathematik
2 Journal de Mécanique Théorique et Appliquée
2 Journal of Nonlinear Science
2 Chaos
2 European Journal of Mechanics. B. Fluids
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Comptes Rendus. Mécanique. Académie des Sciences, Paris
2 Advanced Series in Nonlinear Dynamics
2 Undergraduate Texts in Mathematics
1 Archives of Mechanics
1 Journal of Fluid Mechanics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Physics of Fluids, A
1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII
1 Mathematics and Computers in Simulation
1 Memoirs of the American Mathematical Society
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Japan Journal of Applied Mathematics
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 La Recherche Aérospatiale
1 SIAM Journal on Mathematical Analysis
1 Journal of Dynamics and Differential Equations
1 Documenta Mathematica
1 Far East Journal of Applied Mathematics
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Physical Review Letters
1 SIAM Journal on Applied Dynamical Systems
1 Journal de Mécanique
1 Applied Mathematical Sciences
1 CISM International Centre for Mechanical Sciences. Courses and Lectures
1 North-Holland Mathematics Studies
1 Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics
1 Nonlinear Analysis. Theory, Methods & Applications
1 Universitext
1 Interaction of Mechanics and Mathematics

Publications by Year

Citations contained in zbMATH Open

103 Publications have been cited 2,019 times in 1,340 Documents Cited by Year
A simple global characterization for normal forms of singular vector fields. Zbl 0633.58020
Elphick, C.; Tirapegui, E.; Brachet, M. E.; Coullet, P.; Iooss, G.
149
1987
Local bifurcations, center manifolds, and normal forms in infinite-dimensional dynamical systems. Zbl 1230.34002
Haragus, Mariana; Iooss, Gérard
130
2011
Center manifold theory in infinite dimensions. Zbl 0751.58025
Vanderbauwhede, A.; Iooss, G.
114
1992
Bifurcation of maps and applications. Zbl 0408.58019
Iooss, G.
113
1979
Elementary stability and bifurcation theory. Zbl 0443.34001
Iooss, Gerard; Joseph, Daniel D.
97
1980
Perturbed homoclinic solutions in reversible 1:1 resonance vector fields. Zbl 0792.34044
Iooss, G.; Pérouème, M. C.
91
1993
Water waves for small surface tension: An approach via normal form. Zbl 0767.76004
Iooss, Gérard; Kirchgässner, Klaus
72
1992
The Couette-Taylor problem. Zbl 0817.76001
Chossat, Pascal; Iooss, Gérard
72
1994
Topics in bifurcation theory and applications. 2nd ed. Zbl 0968.34027
Iooss, G.; Adelmeyer, M.
64
1998
Elementary stability and bifurcation theory. (Ehlementarnaya teoriya ustojchivosti i bifurkatsij). Transl. from the English. Zbl 0525.34001
Iooss, G.; Joseph, D. D.
58
1983
Standing waves on an infinitely deep perfect fluid under gravity. Zbl 1176.76017
Iooss, G.; Plotnikov, P. I.; Toland, J. F.
57
2005
Travelling waves in a chain of coupled nonlinear oscillators. Zbl 0956.37055
Iooss, Gérard; Kirchgässner, Klaus
57
2000
Travelling waves in the Fermi-Pasta-Ulam lattice. Zbl 0960.37038
Iooss, Gérard
44
2000
Elementary stability and bifurcation theory. 2nd ed. Zbl 0691.34002
Iooss, Gérard; Joseph, Daniel D.
40
1990
Bifurcation d’ondes solitaires en présence d’une faible tension superficielle. (Bifurcation of solitary waves, for a low surface tension). Zbl 0705.76020
Iooss, Gérard; Kirchgässner, Klaus
39
1990
Small divisor problem in the theory of three-dimensional water gravity waves. Zbl 1172.76005
Iooss, Gérard; Plotnikov, Pavel I.
38
2009
Water-waves as a spatial dynamical system. Zbl 1183.76630
Dias, Frédéric; Iooss, Gérard
37
2003
Topics in bifurcation theory and applications. Zbl 0833.34001
Iooss, Gérard; Adelmeyer, Moritz
35
1992
Asymmetrical three-dimensional travelling gravity waves. Zbl 1231.35169
Iooss, Gérard; Plotnikov, Pavel
29
2011
Bifurcations de tores invariants. Zbl 0405.58033
Chenciner, A.; Iooss, G.
29
1979
Primary and secondary bifurcations in the Couette-Taylor problem. Zbl 0607.76051
Chossat, P.; Iooss, G.
28
1985
Capillary-gravity solitary waves with damped oscillations. Zbl 0778.76014
Dias, Frédéric; Iooss, Gérard
28
1993
Existence et stabilité de la solution périodique secondaire intervenant dans les problèmes d’évolution du type Navier-Stokes. Zbl 0258.35057
Iooss, Gerard
27
1972
Localized waves in nonlinear oscillator chains. Zbl 1080.37080
Iooss, Gérard; James, Guillaume
24
2005
Theory of steady Ginzburg-Landau equation, in hydrodynamic stability problems. Zbl 0675.76060
Iooss, G.; Mielke, A.; Demay, Y.
24
1989
Bifurcating time-periodic solutions of Navier-Stokes equations in infinite cylinders. Zbl 0797.76010
Iooss, G.; Mielke, A.
23
1991
Strong selection or rejection of spatially periodic patterns in degenerate bifurcations. Zbl 0677.76046
Eckhaus, Wiktor; Iooss, Gérard
22
1989
Polynomial normal forms with exponentially small remainder for analytic vector fields. Zbl 1072.34039
Iooss, Gérard; Lombardi, Eric
21
2005
Théorie non linéaire de la stabilité des ecoulements laminaires dans le cas de ’l’echange des stabilités’. Zbl 0218.76059
Iooss, G.
19
1971
Quasi-genericity of bifurcations to high dimensional invariant tori for maps. Zbl 0675.58020
Iooss, G.; Los, J. E.
17
1988
Instabilities of one-dimensional cellular patterns. Zbl 1050.82518
Coullet, P.; Iooss, G.
15
1990
Capillary gravity waves on the free surface of an inviscid fluid of infinite depth. Existence of solitary waves. Zbl 0879.76011
Iooss, Gérard; Kirrmann, Pius
15
1996
Gravity and capillary-gravity periodic travelling waves for two superposed fluid layers, one being of infinite depth. Zbl 0926.76020
Iooss, Gérard
15
1999
Interactions of Hopf and Pitchfork bifurcations. Zbl 0437.34036
Langford, W. F.; Iooss, G.
15
1980
Bifurcation of a periodic solution of the Navier-Stokes equations into an invariant torus. Zbl 0337.35058
Iooss, Gerard
14
1975
A Hopf bifurcation theorem for difference equations approximating a differential equation. Zbl 0546.58037
Hofbauer, J.; Iooss, G.
13
1984
Multimodal standing gravity waves: a completely resonant system. Zbl 1065.35051
Iooss, Gérard; Plotnikov, Pavel
12
2005
Normal form for travelling kinks in discrete Klein-Gordon lattices. Zbl 1102.37045
Iooss, Gerard; Pelinovsky, Dmitry E.
12
2006
Secondary bifurcations of Taylor vortices into wavy inflow or outflow boundaries. Zbl 0624.76057
Iooss, G.
11
1986
A codimension 2 bifurcation for reversible vector fields. Zbl 0922.58057
Iooss, Gérard
11
1995
On the existence of quasipattern solutions of the Swift-Hohenberg equation. Zbl 1195.35041
Iooss, G.; Rucklidge, A. M.
11
2010
Conjectures on the routes to turbulence via bifurcations. Zbl 0469.58011
Iooss, G.; Langford, W. F.
11
1980
The behaviour of solutions lying on an invariant 2-torus arising from the bifurcation of a periodic solution. Zbl 0512.58026
Iooss, G.; Joseph, D. D.
11
1981
Existence of multimodal standing gravity waves. Zbl 1096.76009
Iooss, Gérard; Plotnikov, Pavel
11
2005
Solitary waves of a coupled Korteweg-de Vries system. Zbl 1013.35073
Grimshaw, Roger; Iooss, Gerard
11
2003
Bifurcation of the stationary Ekman flow into a stable periodic flow. Zbl 0395.76045
Iooss, Gerard; Nielsen, Hans Bruun; True, Hans
10
1978
Bifurcation and stability of n T-periodic solutions branching from T-periodic solutions at points of resonance. Zbl 0448.34044
Iooss, G.; Joseph, D. D.
10
1977
Capillary-gravity interfacial waves in infinite depth. Zbl 0887.76014
Dias, F.; Iooss, G.
9
1996
Persistance et bifurcation de tores invariants. Zbl 0417.35013
Chenciner, A.; Iooss, G.
9
1979
Nonlinear dynamics and turbulence. Zbl 0521.00028
8
1983
Structure of the linearized problem for compressible parallel fluid flows. Zbl 0928.76090
Iooss, Gérard; Padula, Mariarosaria
8
1997
Gravity travelling waves for two superposed fluid layers, one being of infinite depth: a new type of bifurcation. Recent developments in the mathematical theory of water waves (Oberwolfach, 2001). Zbl 1152.76335
Iooss, Gérard; Lombardi, Eric; Sun, Shu Ming
8
2002
Bifurcation of spatially quasi-periodic solutions in hydrodynamic stability problems. Zbl 0708.35012
Iooss, G.; Los, J.
8
1990
Addendum: A simple global characterization for normal forms of singular vector fields. Zbl 0665.58028
Elphick, C.; Tirapegui, E.; Brachet, M. E.; Coullet, P.; Iooss, G.
7
1988
A Hopf bifurcation theorem for difference equations approximating a differential equation. Zbl 0542.58018
Hofbauer, J.; Iooss, G.
7
1984
Bifurcation des solutions périodiques de certains problèmes d’évolution. Zbl 0244.35007
Iooss, Gerard
7
1971
Sur la deuxième bifurcation d’une solution stationnaire de systèmes du type Navier-Stokes. Zbl 0356.35068
Iooss, G.
7
1977
Proof of quasipatterns for the Swift-Hohenberg equation. Zbl 1373.35042
Braaksma, Boele; Iooss, Gérard; Stolovitch, Laurent
7
2017
Riemann-Hilbert and variational structure for standing waves. Zbl 1252.37053
Toland, J. F.; Iooss, G.
6
2004
Normal forms with exponentially small remainder: application to homoclinic connections for the reversible \(0^{2+}i\omega\) resonance. Zbl 1066.34041
Iooss, Gérard; Lombardi, Eric
6
2004
Water waves as a spatial dynamical system; infinite depth case. Zbl 1144.37316
Barrandon, Matthieu; Iooss, Gérard
6
2005
Periodic wave patterns of two-dimensional Boussinesq systems. Zbl 1122.76018
Chen, Min; Iooss, Gérard
6
2006
Existence of quasipattern solutions of the Swift-Hohenberg equation. Zbl 1309.35069
Braaksma, Boele; Iooss, Gérard; Stolovitch, Laurent
6
2013
Quasipatterns in a parametrically forced horizontal fluid film. Zbl 1432.35022
Argentina, Médéric; Iooss, Gérard
5
2012
Time-periodic Ginzburg-Landau equations for one dimensional patterns with large wave length. Zbl 0753.35065
Iooss, G.; Mielke, A.
5
1992
Calcul des solutions bifurquées pour le problème de Couette-Taylor avec les deux cylindres en rotation. (Computation of bifurcated solutions for the Couette-Taylor problem, both cylinders rotating). Zbl 0585.58007
Demay, Y.; Iooss, G.
5
1984
Bifurcation and transition to turbulence in hydrodynamics. Zbl 0537.58037
Iooss, Gérard
5
1984
Comportement chaotique des systèmes déterministes. Chaotic behaviour of déterministic systems. Les Houches (France), 29 Juin-31 Juillet 1981 (Ecole d’été de physique théorique) Session XXXVI. Zbl 0546.00032
4
1983
Some codimension-two bifurcations for maps, leading to chaos. Zbl 0551.58023
Iooss, G.
4
1984
Standing waves for a two-way model system for water waves. Zbl 1060.76018
Chen, Min; Iooss, Gérard
4
2005
On a problem of forced nonlinear oscillations. Numerical example of bifurcation into an invariant torus. Zbl 0411.34022
Bouc, R.; Defilippi, M.; Iooss, Gerard
4
1978
Persistance d’un cercle invariant par une application voisine de ”l’application temps tau” d’un champ de vecteurs intégrable. I: En dehors de la bifurcation de Hopf. Zbl 0526.34032
Iooss, Gerard
4
1983
On the standing wave problem in deep water. Zbl 1078.76014
Iooss, Gérard
4
2002
Existence of bifurcating quasipatterns in steady Bénard-Rayleigh convection. Zbl 1428.35032
Braaksma, Boele; Iooss, Gérard
3
2019
Global characterization of the normal form for a vector field near a closed orbit. Zbl 0656.58028
Iooss, G.
3
1988
Gravity solitary waves with polynomial decay to exponentially small ripples at infinity. Zbl 1068.76008
Lombardi, E.; Iooss, G.
3
2003
Existence of orbits homoclinic to an elliptic equilibrium, for a reversible system. (Existence d’orbites homoclines à un équilibre elliptique, pour un système réversible.) Zbl 0874.34044
Iooss, Gérard
3
1997
Estimation au voisinage de t=0, pour un exemple de problème d’évolution ou il y a incompatibilité entre les conditions initiales et aux limites. Zbl 0207.26304
Iooss, G.
3
1970
Bifurcation of a T-periodic flow towards an nT-periodic flow and their non-linear stabilities. Zbl 0323.76035
Iooss, G.
3
1974
Asymmetric periodic traveling wave patterns of two-dimensional Boussinesq systems. Zbl 1143.76396
Chen, Min; Iooss, Gérard
3
2008
Small divisor problems in fluid mechanics. Zbl 1381.35138
Iooss, Gérard
3
2015
Standing waves on infinite depth. Zbl 1034.76010
Iooss, Gérard; Plotnikov, Pavel; Toland, John
2
2004
Capillary-gravity water-waves problem as a dynamical system. Zbl 0872.76010
Iooss, Gérard
2
1995
“Dark” solitary waves at the interface between two fluids in the presence of surface tension. (Ondes solitaires “noires” à l’interface entre deux fluides en présence de tension superficielle.) Zbl 0807.76016
Dias, Frédéric; Iooss, Gérard
2
1994
Simple computation of bifurcating invariant circles for mappings. Zbl 0482.58009
Iooss, G.; Arneodo, A.; Coullet, Pierre; Tresser, Charles
2
1981
Persistance d’un cercle invariant par une application voisine de ”l’application temps tau” d’un champ de vecteurs intégrable. II: Voisinage d’une bifurcation de Hopf. Exemples d’applications. Zbl 0526.34033
Iooss, Gerard
2
1983
Nonlinear evolution of the two-dimensional Rayleigh-Taylor flow. Zbl 0677.76106
Iooss, G.; Rossi, M.
2
1989
Hopf bifurcation in the presence of spherical symmetry: Analytical results. Zbl 0681.58030
Iooss, G.; Rossi, M.
2
1989
Competition of azimuthal modes and quasi-periodic flows in the Couette- Taylor problem. Zbl 0635.76032
Chossat, P.; Demay, Y.; Iooss, G.
2
1987
Reduction of the dynamics of a bifurcation problem using normal forms and symmetries. Zbl 0656.34029
Iooss, G.
1
1987
Une singularité de codimension 3 dans la problème de Couette-Taylor. (A codimension 3 singularity in Taylor-Couette problem). Zbl 0663.76048
Signoret, F.; Iooss, G.
1
1988
Sur la stabilité de la solution périodique secondaire intervenant dans certains problèmes d’évolution. Zbl 0244.35008
Iooss, Gerard
1
1971
Exemples de bifurcation. Zbl 0255.47068
Iooss, Gerard; Tronel, Gerard
1
1973
Existence of quasipatterns in the superposition of two hexagonal patterns. Zbl 1420.35032
Iooss, Gérard
1
2019
Wave patterns in the small gap Couette-Taylor problem. Zbl 0764.76018
Demay, Y.; Iooss, G.; Laure, P.
1
1992
On a conformal map, useful in the problem of stationary gravity waves. (Sur une transformation conforme, utile dans le problème des ondes de gravité stationnaires.) Zbl 0914.76012
Iooss, Gérard
1
1997
Sur la stabilité des ecoulements laminaires. Zbl 0177.56102
Guiraud, J.-P.; Iooss, G.
1
1968
Approximate invariant manifolds up to exponentially small terms. Zbl 1193.34095
Iooss, Gérard; Lombardi, Eric
1
2010
Bifurcation d’un tore Tsup(2) en un tore Tsup(3). Zbl 0355.34044
Chenciner, Alain; Iooss, Gerard
1
1977
Existence of a directional Stokes drift in asymmetrical three-dimensional travelling gravity waves. Zbl 1221.35297
Iooss, Gérard; Plotnikov, Pavel
1
2009
Bifurcation of symmetric domain walls for the Bénard-Rayleigh convection problem. Zbl 1461.76157
Haragus, Mariana; Iooss, Gérard
1
2021
Existence of bifurcating quasipatterns in steady Bénard-Rayleigh convection. Zbl 1428.35032
Braaksma, Boele; Iooss, Gérard
3
2019
Existence of quasipatterns in the superposition of two hexagonal patterns. Zbl 1420.35032
Iooss, Gérard
1
2019
Proof of quasipatterns for the Swift-Hohenberg equation. Zbl 1373.35042
Braaksma, Boele; Iooss, Gérard; Stolovitch, Laurent
7
2017
Small divisor problems in fluid mechanics. Zbl 1381.35138
Iooss, Gérard
3
2015
Erratum to: “Existence of quasipattern solutions of the Swift-Hohenberg equation”. Zbl 1291.35211
Braaksma, Boele; Iooss, Gérard; Stolovitch, Laurent
1
2014
Existence of quasipattern solutions of the Swift-Hohenberg equation. Zbl 1309.35069
Braaksma, Boele; Iooss, Gérard; Stolovitch, Laurent
6
2013
Quasipatterns in a parametrically forced horizontal fluid film. Zbl 1432.35022
Argentina, Médéric; Iooss, Gérard
5
2012
Local bifurcations, center manifolds, and normal forms in infinite-dimensional dynamical systems. Zbl 1230.34002
Haragus, Mariana; Iooss, Gérard
130
2011
Asymmetrical three-dimensional travelling gravity waves. Zbl 1231.35169
Iooss, Gérard; Plotnikov, Pavel
29
2011
On the existence of quasipattern solutions of the Swift-Hohenberg equation. Zbl 1195.35041
Iooss, G.; Rucklidge, A. M.
11
2010
Approximate invariant manifolds up to exponentially small terms. Zbl 1193.34095
Iooss, Gérard; Lombardi, Eric
1
2010
Small divisor problem in the theory of three-dimensional water gravity waves. Zbl 1172.76005
Iooss, Gérard; Plotnikov, Pavel I.
38
2009
Existence of a directional Stokes drift in asymmetrical three-dimensional travelling gravity waves. Zbl 1221.35297
Iooss, Gérard; Plotnikov, Pavel
1
2009
Asymmetric periodic traveling wave patterns of two-dimensional Boussinesq systems. Zbl 1143.76396
Chen, Min; Iooss, Gérard
3
2008
Normal form for travelling kinks in discrete Klein-Gordon lattices. Zbl 1102.37045
Iooss, Gerard; Pelinovsky, Dmitry E.
12
2006
Periodic wave patterns of two-dimensional Boussinesq systems. Zbl 1122.76018
Chen, Min; Iooss, Gérard
6
2006
Standing waves on an infinitely deep perfect fluid under gravity. Zbl 1176.76017
Iooss, G.; Plotnikov, P. I.; Toland, J. F.
57
2005
Localized waves in nonlinear oscillator chains. Zbl 1080.37080
Iooss, Gérard; James, Guillaume
24
2005
Polynomial normal forms with exponentially small remainder for analytic vector fields. Zbl 1072.34039
Iooss, Gérard; Lombardi, Eric
21
2005
Multimodal standing gravity waves: a completely resonant system. Zbl 1065.35051
Iooss, Gérard; Plotnikov, Pavel
12
2005
Existence of multimodal standing gravity waves. Zbl 1096.76009
Iooss, Gérard; Plotnikov, Pavel
11
2005
Water waves as a spatial dynamical system; infinite depth case. Zbl 1144.37316
Barrandon, Matthieu; Iooss, Gérard
6
2005
Standing waves for a two-way model system for water waves. Zbl 1060.76018
Chen, Min; Iooss, Gérard
4
2005
Riemann-Hilbert and variational structure for standing waves. Zbl 1252.37053
Toland, J. F.; Iooss, G.
6
2004
Normal forms with exponentially small remainder: application to homoclinic connections for the reversible \(0^{2+}i\omega\) resonance. Zbl 1066.34041
Iooss, Gérard; Lombardi, Eric
6
2004
Standing waves on infinite depth. Zbl 1034.76010
Iooss, Gérard; Plotnikov, Pavel; Toland, John
2
2004
Water-waves as a spatial dynamical system. Zbl 1183.76630
Dias, Frédéric; Iooss, Gérard
37
2003
Solitary waves of a coupled Korteweg-de Vries system. Zbl 1013.35073
Grimshaw, Roger; Iooss, Gerard
11
2003
Gravity solitary waves with polynomial decay to exponentially small ripples at infinity. Zbl 1068.76008
Lombardi, E.; Iooss, G.
3
2003
Gravity travelling waves for two superposed fluid layers, one being of infinite depth: a new type of bifurcation. Recent developments in the mathematical theory of water waves (Oberwolfach, 2001). Zbl 1152.76335
Iooss, Gérard; Lombardi, Eric; Sun, Shu Ming
8
2002
On the standing wave problem in deep water. Zbl 1078.76014
Iooss, Gérard
4
2002
Travelling waves in a chain of coupled nonlinear oscillators. Zbl 0956.37055
Iooss, Gérard; Kirchgässner, Klaus
57
2000
Travelling waves in the Fermi-Pasta-Ulam lattice. Zbl 0960.37038
Iooss, Gérard
44
2000
Gravity and capillary-gravity periodic travelling waves for two superposed fluid layers, one being of infinite depth. Zbl 0926.76020
Iooss, Gérard
15
1999
Topics in bifurcation theory and applications. 2nd ed. Zbl 0968.34027
Iooss, G.; Adelmeyer, M.
64
1998
Travelling water-waves, as a paradigm for bifurcations in reversible infinite dimensional “dynamical” systems. Zbl 0932.37049
Iooss, Gérard
1
1998
Structure of the linearized problem for compressible parallel fluid flows. Zbl 0928.76090
Iooss, Gérard; Padula, Mariarosaria
8
1997
Existence of orbits homoclinic to an elliptic equilibrium, for a reversible system. (Existence d’orbites homoclines à un équilibre elliptique, pour un système réversible.) Zbl 0874.34044
Iooss, Gérard
3
1997
On a conformal map, useful in the problem of stationary gravity waves. (Sur une transformation conforme, utile dans le problème des ondes de gravité stationnaires.) Zbl 0914.76012
Iooss, Gérard
1
1997
Capillary gravity waves on the free surface of an inviscid fluid of infinite depth. Existence of solitary waves. Zbl 0879.76011
Iooss, Gérard; Kirrmann, Pius
15
1996
Capillary-gravity interfacial waves in infinite depth. Zbl 0887.76014
Dias, F.; Iooss, G.
9
1996
A codimension 2 bifurcation for reversible vector fields. Zbl 0922.58057
Iooss, Gérard
11
1995
Capillary-gravity water-waves problem as a dynamical system. Zbl 0872.76010
Iooss, Gérard
2
1995
The Couette-Taylor problem. Zbl 0817.76001
Chossat, Pascal; Iooss, Gérard
72
1994
“Dark” solitary waves at the interface between two fluids in the presence of surface tension. (Ondes solitaires “noires” à l’interface entre deux fluides en présence de tension superficielle.) Zbl 0807.76016
Dias, Frédéric; Iooss, Gérard
2
1994
Perturbed homoclinic solutions in reversible 1:1 resonance vector fields. Zbl 0792.34044
Iooss, G.; Pérouème, M. C.
91
1993
Capillary-gravity solitary waves with damped oscillations. Zbl 0778.76014
Dias, Frédéric; Iooss, Gérard
28
1993
Center manifold theory in infinite dimensions. Zbl 0751.58025
Vanderbauwhede, A.; Iooss, G.
114
1992
Water waves for small surface tension: An approach via normal form. Zbl 0767.76004
Iooss, Gérard; Kirchgässner, Klaus
72
1992
Topics in bifurcation theory and applications. Zbl 0833.34001
Iooss, Gérard; Adelmeyer, Moritz
35
1992
Time-periodic Ginzburg-Landau equations for one dimensional patterns with large wave length. Zbl 0753.35065
Iooss, G.; Mielke, A.
5
1992
Wave patterns in the small gap Couette-Taylor problem. Zbl 0764.76018
Demay, Y.; Iooss, G.; Laure, P.
1
1992
Bifurcating time-periodic solutions of Navier-Stokes equations in infinite cylinders. Zbl 0797.76010
Iooss, G.; Mielke, A.
23
1991
Elementary stability and bifurcation theory. 2nd ed. Zbl 0691.34002
Iooss, Gérard; Joseph, Daniel D.
40
1990
Bifurcation d’ondes solitaires en présence d’une faible tension superficielle. (Bifurcation of solitary waves, for a low surface tension). Zbl 0705.76020
Iooss, Gérard; Kirchgässner, Klaus
39
1990
Instabilities of one-dimensional cellular patterns. Zbl 1050.82518
Coullet, P.; Iooss, G.
15
1990
Bifurcation of spatially quasi-periodic solutions in hydrodynamic stability problems. Zbl 0708.35012
Iooss, G.; Los, J.
8
1990
Theory of steady Ginzburg-Landau equation, in hydrodynamic stability problems. Zbl 0675.76060
Iooss, G.; Mielke, A.; Demay, Y.
24
1989
Strong selection or rejection of spatially periodic patterns in degenerate bifurcations. Zbl 0677.76046
Eckhaus, Wiktor; Iooss, Gérard
22
1989
Nonlinear evolution of the two-dimensional Rayleigh-Taylor flow. Zbl 0677.76106
Iooss, G.; Rossi, M.
2
1989
Hopf bifurcation in the presence of spherical symmetry: Analytical results. Zbl 0681.58030
Iooss, G.; Rossi, M.
2
1989
Quasi-genericity of bifurcations to high dimensional invariant tori for maps. Zbl 0675.58020
Iooss, G.; Los, J. E.
17
1988
Addendum: A simple global characterization for normal forms of singular vector fields. Zbl 0665.58028
Elphick, C.; Tirapegui, E.; Brachet, M. E.; Coullet, P.; Iooss, G.
7
1988
Global characterization of the normal form for a vector field near a closed orbit. Zbl 0656.58028
Iooss, G.
3
1988
Une singularité de codimension 3 dans la problème de Couette-Taylor. (A codimension 3 singularity in Taylor-Couette problem). Zbl 0663.76048
Signoret, F.; Iooss, G.
1
1988
A simple global characterization for normal forms of singular vector fields. Zbl 0633.58020
Elphick, C.; Tirapegui, E.; Brachet, M. E.; Coullet, P.; Iooss, G.
149
1987
Competition of azimuthal modes and quasi-periodic flows in the Couette- Taylor problem. Zbl 0635.76032
Chossat, P.; Demay, Y.; Iooss, G.
2
1987
Reduction of the dynamics of a bifurcation problem using normal forms and symmetries. Zbl 0656.34029
Iooss, G.
1
1987
Secondary bifurcations of Taylor vortices into wavy inflow or outflow boundaries. Zbl 0624.76057
Iooss, G.
11
1986
Primary and secondary bifurcations in the Couette-Taylor problem. Zbl 0607.76051
Chossat, P.; Iooss, G.
28
1985
A Hopf bifurcation theorem for difference equations approximating a differential equation. Zbl 0546.58037
Hofbauer, J.; Iooss, G.
13
1984
A Hopf bifurcation theorem for difference equations approximating a differential equation. Zbl 0542.58018
Hofbauer, J.; Iooss, G.
7
1984
Calcul des solutions bifurquées pour le problème de Couette-Taylor avec les deux cylindres en rotation. (Computation of bifurcated solutions for the Couette-Taylor problem, both cylinders rotating). Zbl 0585.58007
Demay, Y.; Iooss, G.
5
1984
Bifurcation and transition to turbulence in hydrodynamics. Zbl 0537.58037
Iooss, Gérard
5
1984
Some codimension-two bifurcations for maps, leading to chaos. Zbl 0551.58023
Iooss, G.
4
1984
Elementary stability and bifurcation theory. (Ehlementarnaya teoriya ustojchivosti i bifurkatsij). Transl. from the English. Zbl 0525.34001
Iooss, G.; Joseph, D. D.
58
1983
Nonlinear dynamics and turbulence. Zbl 0521.00028
8
1983
Comportement chaotique des systèmes déterministes. Chaotic behaviour of déterministic systems. Les Houches (France), 29 Juin-31 Juillet 1981 (Ecole d’été de physique théorique) Session XXXVI. Zbl 0546.00032
4
1983
Persistance d’un cercle invariant par une application voisine de ”l’application temps tau” d’un champ de vecteurs intégrable. I: En dehors de la bifurcation de Hopf. Zbl 0526.34032
Iooss, Gerard
4
1983
Persistance d’un cercle invariant par une application voisine de ”l’application temps tau” d’un champ de vecteurs intégrable. II: Voisinage d’une bifurcation de Hopf. Exemples d’applications. Zbl 0526.34033
Iooss, Gerard
2
1983
The behaviour of solutions lying on an invariant 2-torus arising from the bifurcation of a periodic solution. Zbl 0512.58026
Iooss, G.; Joseph, D. D.
11
1981
Simple computation of bifurcating invariant circles for mappings. Zbl 0482.58009
Iooss, G.; Arneodo, A.; Coullet, Pierre; Tresser, Charles
2
1981
Elementary stability and bifurcation theory. Zbl 0443.34001
Iooss, Gerard; Joseph, Daniel D.
97
1980
Interactions of Hopf and Pitchfork bifurcations. Zbl 0437.34036
Langford, W. F.; Iooss, G.
15
1980
Conjectures on the routes to turbulence via bifurcations. Zbl 0469.58011
Iooss, G.; Langford, W. F.
11
1980
Bifurcation of maps and applications. Zbl 0408.58019
Iooss, G.
113
1979
Bifurcations de tores invariants. Zbl 0405.58033
Chenciner, A.; Iooss, G.
29
1979
Persistance et bifurcation de tores invariants. Zbl 0417.35013
Chenciner, A.; Iooss, G.
9
1979
Bifurcation of the stationary Ekman flow into a stable periodic flow. Zbl 0395.76045
Iooss, Gerard; Nielsen, Hans Bruun; True, Hans
10
1978
On a problem of forced nonlinear oscillations. Numerical example of bifurcation into an invariant torus. Zbl 0411.34022
Bouc, R.; Defilippi, M.; Iooss, Gerard
4
1978
Bifurcation and stability of n T-periodic solutions branching from T-periodic solutions at points of resonance. Zbl 0448.34044
Iooss, G.; Joseph, D. D.
10
1977
Sur la deuxième bifurcation d’une solution stationnaire de systèmes du type Navier-Stokes. Zbl 0356.35068
Iooss, G.
7
1977
Bifurcation d’un tore Tsup(2) en un tore Tsup(3). Zbl 0355.34044
Chenciner, Alain; Iooss, Gerard
1
1977
Bifurcation of a periodic solution of the Navier-Stokes equations into an invariant torus. Zbl 0337.35058
Iooss, Gerard
14
1975
Bifurcation of a T-periodic flow towards an nT-periodic flow and their non-linear stabilities. Zbl 0323.76035
Iooss, G.
3
1974
Exemples de bifurcation. Zbl 0255.47068
Iooss, Gerard; Tronel, Gerard
1
1973
Existence et stabilité de la solution périodique secondaire intervenant dans les problèmes d’évolution du type Navier-Stokes. Zbl 0258.35057
Iooss, Gerard
27
1972
Théorie non linéaire de la stabilité des ecoulements laminaires dans le cas de ’l’echange des stabilités’. Zbl 0218.76059
Iooss, G.
19
1971
Bifurcation des solutions périodiques de certains problèmes d’évolution. Zbl 0244.35007
Iooss, Gerard
7
1971
...and 3 more Documents
all top 5

Cited by 1,638 Authors

42 Iooss, Gérard
20 Il’ichev, Andreĭ Teĭmurazovich
16 Montalto, Riccardo
16 Valls Anglés, Cláudia
15 Champneys, Alan R.
14 Guo, Shangjiang
14 Schneider, Guido
13 Groves, Mark D.
13 James, Guillaume
13 Malomed, Boris A.
12 Barreira, Luis Manuel
12 Berti, Massimiliano
12 Gaeta, Giuseppe
12 Scheel, Arnd
12 Wahlén, Erik
11 Deng, Shengfu
10 Baldi, Pietro
10 Bridges, Thomas J.
10 Chossat, Pascal
10 Dias, Frédéric
10 Kagei, Yoshiyuki
10 Peng, Mingshu
10 Roberts, Anthony John
9 Golubitsky, Martin A.
8 de la Llave, Rafael
8 Doelman, Arjen
8 Grimshaw, Roger Hamilton James
8 Knobloch, Edgar
8 Mielke, Alexander
8 Pelinovsky, Dmitry Efimovich
8 Stolovitch, Laurent
8 Zhang, Weibin
8 Zumbrun, Kevin R.
7 Broer, Henk W.
7 Clerc, Marcel G.
7 Coullet, Pierre H.
7 Haragus, Mariana
7 Lerman, Lev
7 Lombardi, Eric
7 Magal, Pierre
7 Recke, Lutz
7 Stewart, Ian Nicholas
7 Vanden-Broeck, Jean-Marc
7 Yu, Pei
6 Algaba, Antonio
6 Arino, Ovide
6 Bambusi, Dario
6 Choudhury, Sudipto Roy
6 Kevrekidis, Panayotis G.
6 Marques, Francisco
6 Procesi, Michela
6 Sire, Yannick
6 Tirapegui, Enrique
6 Toland, John Francis
6 Veltz, Romain
6 Wen, Guilin
6 Xie, Jianhua
5 Abed, Eyad H.
5 Alazard, Thomas
5 Braaksma, Boele L. J.
5 Buffoni, Boris
5 Freire Macías, Emilio
5 Holmes, Philip J.
5 Lamb, Jeroen S. W.
5 Lustri, Christopher J.
5 Martin, Calin-Iulian
5 Meijer, Hil G. E.
5 Milewski, Paul A.
5 Murdock, James A.
5 Poláčik, Peter
5 Pötzsche, Christian
5 Rucklidge, Alastair M.
5 Vega, José Manuel
5 Wilkening, Jon A.
5 Zhang, Wei
4 Ambrose, David M.
4 Argentina, Médéric
4 Bak, Sergiy Mykolayovych
4 Barrandon, Matthieu
4 Bergeon, Alain
4 Bonilla, Luis Lopez
4 Bürger, Reinhard
4 Chen, Robin Ming
4 Chenciner, Alain
4 Cicogna, Giampaolo
4 Faye, Grégory
4 Feola, Roberto
4 Franceschini, Valter
4 Gamero, Estanislao
4 Hanßmann, Heinz
4 Herrmann, Michael
4 Hofbauer, Josef
4 Hupkes, Hermen Jan
4 Huseyin, Koncay
4 Il’in, Konstantin Ivanovich
4 Kevrekidis, Ioannis George
4 Kielhöfer, Hansjörg
4 Kubicek, Milan
4 Kuznetsov, Yuri Alexandrovich
4 Langford, William F.
...and 1,538 more Authors
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Cited in 264 Serials

138 Physica D
93 Journal of Differential Equations
56 Archive for Rational Mechanics and Analysis
42 Journal of Fluid Mechanics
33 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
30 Journal of Dynamics and Differential Equations
30 Journal of Nonlinear Science
26 Journal of Mathematical Analysis and Applications
23 Chaos, Solitons and Fractals
22 ZAMP. Zeitschrift für angewandte Mathematik und Physik
22 Chaos
21 Physics of Fluids
19 Communications in Mathematical Physics
19 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
19 European Journal of Mechanics. B. Fluids
17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
16 Nonlinear Dynamics
16 Nonlinear Analysis. Theory, Methods & Applications
15 Journal of Statistical Physics
14 Journal of Mathematical Biology
14 Journal of Computational and Applied Mathematics
13 Mathematics and Computers in Simulation
13 SIAM Journal on Applied Dynamical Systems
12 Fluid Dynamics
12 Communications in Nonlinear Science and Numerical Simulation
11 Journal of Mathematical Fluid Mechanics
10 Journal of Computational Physics
10 Journal of Mathematical Physics
10 Nonlinearity
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Wave Motion
9 Applied Mathematics and Computation
9 Discrete and Continuous Dynamical Systems
9 Regular and Chaotic Dynamics
8 Acta Mechanica
8 International Journal of Engineering Science
8 Theoretical and Computational Fluid Dynamics
8 Quarterly of Applied Mathematics
8 Studies in Applied Mathematics
8 Transactions of the American Mathematical Society
8 Mathematical and Computer Modelling
7 SIAM Journal on Mathematical Analysis
7 Nonlinear Analysis. Real World Applications
6 Computer Methods in Applied Mechanics and Engineering
6 Mathematical Methods in the Applied Sciences
6 Physics Letters. A
6 Automatica
6 Meccanica
6 Dynamics and Stability of Systems
6 Journal of Difference Equations and Applications
5 International Journal for Numerical Methods in Fluids
5 Theoretical and Mathematical Physics
5 Numerische Mathematik
5 Applied Numerical Mathematics
5 Japan Journal of Applied Mathematics
5 Applied Mathematical Modelling
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Journal of Mathematical Sciences (New York)
5 Electronic Journal of Differential Equations (EJDE)
5 Qualitative Theory of Dynamical Systems
5 Discrete and Continuous Dynamical Systems. Series B
5 Communications on Pure and Applied Analysis
4 Computers & Mathematics with Applications
4 Mathematical Biosciences
4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
4 Bulletin of Mathematical Biology
4 Theoretical Population Biology
4 Applied Mathematics and Mechanics. (English Edition)
4 Acta Applicandae Mathematicae
4 Journal of Scientific Computing
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Bulletin of the American Mathematical Society. New Series
4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Dynamical Systems
4 Discrete and Continuous Dynamical Systems. Series S
4 Journal of Applied Analysis and Computation
4 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Journal of Engineering Mathematics
3 Journal of the Mechanics and Physics of Solids
3 Reviews in Mathematical Physics
3 Prikladnaya Matematika i Mekhanika
3 Annales de l’Institut Fourier
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Czechoslovak Mathematical Journal
3 Publications Mathématiques
3 Journal of Economic Theory
3 Memoirs of the American Mathematical Society
3 Journal of Economic Dynamics & Control
3 MCSS. Mathematics of Control, Signals, and Systems
3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
3 Japan Journal of Industrial and Applied Mathematics
3 SIAM Journal on Applied Mathematics
3 NoDEA. Nonlinear Differential Equations and Applications
3 Discrete Dynamics in Nature and Society
3 Acta Mathematica Sinica. English Series
3 Physical Review Letters
3 Advances in Nonlinear Analysis
3 Séminaire Laurent Schwartz. EDP et Applications
2 Applicable Analysis
...and 164 more Serials
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Cited in 45 Fields

523 Dynamical systems and ergodic theory (37-XX)
509 Partial differential equations (35-XX)
414 Fluid mechanics (76-XX)
367 Ordinary differential equations (34-XX)
114 Biology and other natural sciences (92-XX)
87 Mechanics of particles and systems (70-XX)
86 Numerical analysis (65-XX)
75 Mechanics of deformable solids (74-XX)
61 Statistical mechanics, structure of matter (82-XX)
46 Operator theory (47-XX)
42 Global analysis, analysis on manifolds (58-XX)
38 Systems theory; control (93-XX)
36 Difference and functional equations (39-XX)
27 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
20 Classical thermodynamics, heat transfer (80-XX)
18 Geophysics (86-XX)
13 Optics, electromagnetic theory (78-XX)
12 Probability theory and stochastic processes (60-XX)
12 Quantum theory (81-XX)
11 Integral equations (45-XX)
10 Computer science (68-XX)
5 Astronomy and astrophysics (85-XX)
5 Operations research, mathematical programming (90-XX)
4 Convex and discrete geometry (52-XX)
4 Statistics (62-XX)
3 Commutative algebra (13-XX)
2 History and biography (01-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Group theory and generalizations (20-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Approximations and expansions (41-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Functional analysis (46-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Manifolds and cell complexes (57-XX)
2 Relativity and gravitational theory (83-XX)
1 Combinatorics (05-XX)
1 Algebraic geometry (14-XX)
1 Topological groups, Lie groups (22-XX)
1 Functions of a complex variable (30-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Information and communication theory, circuits (94-XX)

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