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Iooss, Gérard

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Author ID: iooss.gerard Recent zbMATH articles by "Iooss, Gérard"
Published as: Iooss, G.; Iooss, Gerard; Iooss, Gérard
External Links: MGP · Wikidata · GND
Documents Indexed: 131 Publications since 1968, including 15 Books
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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
6 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 Journal de Mécanique
1 Applied Mathematical Sciences
1 CISM International Centre for Mechanical Sciences. Courses and Lectures
1 North-Holland Mathematics Studies
1 Nonlinear Analysis. Theory, Methods & Applications
1 Universitext
1 Interaction of Mechanics and Mathematics

Publications by Year

Citations contained in zbMATH Open

101 Publications have been cited 2,000 times in 1,265 Documents Cited by Year
Elementary stability and bifurcation theory. Zbl 0443.34001
Iooss, Gerard; Joseph, Daniel D.
153
1980
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.
147
1987
Local bifurcations, center manifolds, and normal forms in infinite-dimensional dynamical systems. Zbl 1230.34002
Haragus, Mariana; Iooss, Gérard
109
2011
Bifurcation of maps and applications. Zbl 0408.58019
Iooss, G.
109
1979
Center manifold theory in infinite dimensions. Zbl 0751.58025
Vanderbauwhede, A.; Iooss, G.
108
1992
Perturbed homoclinic solutions in reversible 1:1 resonance vector fields. Zbl 0792.34044
Iooss, G.; Pérouème, M. C.
86
1993
The Couette-Taylor problem. Zbl 0817.76001
Chossat, Pascal; Iooss, Gérard
72
1994
Water waves for small surface tension: An approach via normal form. Zbl 0767.76004
Iooss, Gérard; Kirchgässner, Klaus
67
1992
Topics in bifurcation theory and applications. 2nd ed. Zbl 0968.34027
Iooss, G.; Adelmeyer, M.
60
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
Topics in bifurcation theory and applications. Zbl 0833.34001
Iooss, Gérard; Adelmeyer, Moritz
54
1992
Standing waves on an infinitely deep perfect fluid under gravity. Zbl 1176.76017
Iooss, G.; Plotnikov, P. I.; Toland, J. F.
52
2005
Travelling waves in a chain of coupled nonlinear oscillators. Zbl 0956.37055
Iooss, Gérard; Kirchgässner, Klaus
49
2000
Elementary stability and bifurcation theory. 2nd ed. Zbl 0691.34002
Iooss, Gérard; Joseph, Daniel D.
42
1990
Travelling waves in the Fermi-Pasta-Ulam lattice. Zbl 0960.37038
Iooss, Gérard
38
2000
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
37
1990
Water-waves as a spatial dynamical system. Zbl 1183.76630
Dias, Frédéric; Iooss, Gérard
36
2003
Small divisor problem in the theory of three-dimensional water gravity waves. Zbl 1172.76005
Iooss, Gérard; Plotnikov, Pavel I.
33
2009
Bifurcations de tores invariants. Zbl 0405.58033
Chenciner, A.; Iooss, G.
28
1979
Existence et stabilité de la solution périodique secondaire intervenant dans les problèmes d’évolution du type Navier-Stokes. Zbl 0258.35057
Iooss, Gerard
28
1972
Asymmetrical three-dimensional travelling gravity waves. Zbl 1231.35169
Iooss, Gérard; Plotnikov, Pavel
26
2011
Capillary-gravity solitary waves with damped oscillations. Zbl 0778.76014
Dias, Frédéric; Iooss, Gérard
26
1993
Primary and secondary bifurcations in the Couette-Taylor problem. Zbl 0607.76051
Chossat, P.; Iooss, G.
25
1985
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
Localized waves in nonlinear oscillator chains. Zbl 1080.37080
Iooss, Gérard; James, Guillaume
21
2005
Polynomial normal forms with exponentially small remainder for analytic vector fields. Zbl 1072.34039
Iooss, Gérard; Lombardi, Eric
18
2005
Théorie non linéaire de la stabilité des ecoulements laminaires dans le cas de ’l’echange des stabilités’. Zbl 0218.76059
Iooss, G.
18
1971
Quasi-genericity of bifurcations to high dimensional invariant tori for maps. Zbl 0675.58020
Iooss, G.; Los, J. E.
17
1988
A Hopf bifurcation theorem for difference equations approximating a differential equation. Zbl 0546.58037
Hofbauer, J.; Iooss, G.
16
1984
Instabilities of one-dimensional cellular patterns. Zbl 1050.82518
Coullet, P.; Iooss, G.
15
1990
Interactions of Hopf and Pitchfork bifurcations. Zbl 0437.34036
Langford, W. F.; Iooss, G.
15
1980
Gravity and capillary-gravity periodic travelling waves for two superposed fluid layers, one being of infinite depth. Zbl 0926.76020
Iooss, Gérard
14
1999
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
14
1996
Bifurcation of a periodic solution of the Navier-Stokes equations into an invariant torus. Zbl 0337.35058
Iooss, Gerard
14
1975
Multimodal standing gravity waves: a completely resonant system. Zbl 1065.35051
Iooss, Gérard; Plotnikov, Pavel
12
2005
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.
12
1981
Conjectures on the routes to turbulence via bifurcations. Zbl 0469.58011
Iooss, G.; Langford, W. F.
12
1980
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
A codimension 2 bifurcation for reversible vector fields. Zbl 0922.58057
Iooss, Gérard
11
1995
Secondary bifurcations of Taylor vortices into wavy inflow or outflow boundaries. Zbl 0624.76057
Iooss, G.
11
1986
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.
11
1977
On the existence of quasipattern solutions of the Swift-Hohenberg equation. Zbl 1195.35041
Iooss, G.; Rucklidge, A. M.
10
2010
Capillary-gravity interfacial waves in infinite depth. Zbl 0887.76014
Dias, F.; Iooss, G.
9
1996
Nonlinear dynamics and turbulence. Zbl 0521.00028
Barenblatt, G. I. (ed.); Iooss, G. (ed.); Joseph, D. D. (ed.)
9
1983
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
9
1978
Normal form for travelling kinks in discrete Klein-Gordon lattices. Zbl 1102.37045
Iooss, Gerard; Pelinovsky, Dmitry E.
8
2006
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
Structure of the linearized problem for compressible parallel fluid flows. Zbl 0928.76090
Iooss, Gérard; Padula, Mariarosaria
8
1997
Bifurcation of spatially quasi-periodic solutions in hydrodynamic stability problems. Zbl 0708.35012
Iooss, G.; Los, J.
8
1990
Sur la deuxième bifurcation d’une solution stationnaire de systèmes du type Navier-Stokes. Zbl 0356.35068
Iooss, G.
8
1977
A Hopf bifurcation theorem for difference equations approximating a differential equation. Zbl 0542.58018
Hofbauer, J.; Iooss, G.
7
1984
Bifurcation and transition to turbulence in hydrodynamics. Zbl 0537.58037
Iooss, Gérard
7
1984
Existence of quasipattern solutions of the Swift-Hohenberg equation. Zbl 1309.35069
Braaksma, Boele; Iooss, Gérard; Stolovitch, Laurent
6
2013
Water waves as a spatial dynamical system; infinite depth case. Zbl 1144.37316
Barrandon, Matthieu; Iooss, Gérard
6
2005
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
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.
6
1988
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
Iooss, Gérard (ed.); Helleman, Robert H. G. (ed.); Stora, Raymond (ed.)
6
1983
Bifurcation des solutions périodiques de certains problèmes d’évolution. Zbl 0244.35007
Iooss, Gerard
6
1971
Proof of quasipatterns for the Swift-Hohenberg equation. Zbl 1373.35042
Braaksma, Boele; Iooss, Gérard; Stolovitch, Laurent
5
2017
Periodic wave patterns of two-dimensional Boussinesq systems. Zbl 1122.76018
Chen, Min; Iooss, Gérard
5
2006
Riemann-Hilbert and variational structure for standing waves. Zbl 1252.37053
Toland, J. F.; Iooss, G.
5
2004
Time-periodic Ginzburg-Landau equations for one dimensional patterns with large wave length. Zbl 0753.35065
Iooss, G.; Mielke, A.
5
1992
Some codimension-two bifurcations for maps, leading to chaos. Zbl 0551.58023
Iooss, G.
5
1984
Quasipatterns in a parametrically forced horizontal fluid film. Zbl 1432.35022
Argentina, Médéric; Iooss, Gérard
4
2012
Standing waves for a two-way model system for water waves. Zbl 1060.76018
Chen, Min; Iooss, Gérard
4
2005
On the standing wave problem in deep water. Zbl 1078.76014
Iooss, Gérard
4
2002
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.
4
1984
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 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
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. Zbl 0874.34044
Iooss, Gérard
3
1997
Global characterization of the normal form for a vector field near a closed orbit. Zbl 0656.58028
Iooss, G.
3
1988
Competition of azimuthal modes and quasi-periodic flows in the Couette- Taylor problem. Zbl 0635.76032
Chossat, P.; Demay, Y.; Iooss, G.
3
1987
Bifurcation of a T-periodic flow towards an nT-periodic flow and their non-linear stabilities. Zbl 0323.76035
Iooss, G.
3
1974
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
Existence of bifurcating quasipatterns in steady Bénard-Rayleigh convection. Zbl 1428.35032
Braaksma, Boele; Iooss, Gérard
2
2019
Small divisor problems in fluid mechanics. Zbl 1381.35138
Iooss, Gérard
2
2015
Asymmetric periodic traveling wave patterns of two-dimensional Boussinesq systems. Zbl 1143.76396
Chen, Min; Iooss, Gérard
2
2008
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. Zbl 0807.76016
Dias, Frédéric; Iooss, Gérard
2
1994
Hopf bifurcation in the presence of spherical symmetry: Analytical results. Zbl 0681.58030
Iooss, G.; Rossi, M.
2
1989
Nonlinear evolution of the two-dimensional Rayleigh-Taylor flow. Zbl 0677.76106
Iooss, G.; Rossi, M.
2
1989
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
Simple computation of bifurcating invariant circles for mappings. Zbl 0482.58009
Iooss, G.; Arneodo, A.; Coullet, Pierre; Tresser, Charles
2
1981
Erratum to: “Existence of quasipattern solutions of the Swift-Hohenberg equation”. Zbl 1291.35211
Braaksma, Boele; Iooss, Gérard; Stolovitch, Laurent
1
2014
Approximate invariant manifolds up to exponentially small terms. Zbl 1193.34095
Iooss, Gérard; Lombardi, Eric
1
2010
Existence of a directional Stokes drift in asymmetrical three-dimensional travelling gravity waves. Zbl 1221.35297
Iooss, Gérard; Plotnikov, Pavel
1
2009
Travelling water-waves, as a paradigm for bifurcations in reversible infinite dimensional “dynamical” systems. Zbl 0932.37049
Iooss, Gérard
1
1998
On a conformal map, useful in the problem of stationary gravity waves. Zbl 0914.76012
Iooss, Gérard
1
1997
Wave patterns in the small gap Couette-Taylor problem. Zbl 0764.76018
Demay, Y.; Iooss, G.; Laure, P.
1
1992
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
Reduction of the dynamics of a bifurcation problem using normal forms and symmetries. Zbl 0656.34029
Iooss, G.
1
1987
Bifurcation d’un tore Tsup(2) en un tore Tsup(3). Zbl 0355.34044
Chenciner, Alain; Iooss, Gerard
1
1977
Exemples de bifurcation. Zbl 0255.47068
Iooss, Gerard; Tronel, Gerard
1
1973
Sur la stabilité de la solution périodique secondaire intervenant dans certains problèmes d’évolution. Zbl 0244.35008
Iooss, Gerard
1
1971
Existence of bifurcating quasipatterns in steady Bénard-Rayleigh convection. Zbl 1428.35032
Braaksma, Boele; Iooss, Gérard
2
2019
Proof of quasipatterns for the Swift-Hohenberg equation. Zbl 1373.35042
Braaksma, Boele; Iooss, Gérard; Stolovitch, Laurent
5
2017
Small divisor problems in fluid mechanics. Zbl 1381.35138
Iooss, Gérard
2
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
4
2012
Local bifurcations, center manifolds, and normal forms in infinite-dimensional dynamical systems. Zbl 1230.34002
Haragus, Mariana; Iooss, Gérard
109
2011
Asymmetrical three-dimensional travelling gravity waves. Zbl 1231.35169
Iooss, Gérard; Plotnikov, Pavel
26
2011
On the existence of quasipattern solutions of the Swift-Hohenberg equation. Zbl 1195.35041
Iooss, G.; Rucklidge, A. M.
10
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.
33
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
2
2008
Normal form for travelling kinks in discrete Klein-Gordon lattices. Zbl 1102.37045
Iooss, Gerard; Pelinovsky, Dmitry E.
8
2006
Periodic wave patterns of two-dimensional Boussinesq systems. Zbl 1122.76018
Chen, Min; Iooss, Gérard
5
2006
Standing waves on an infinitely deep perfect fluid under gravity. Zbl 1176.76017
Iooss, G.; Plotnikov, P. I.; Toland, J. F.
52
2005
Localized waves in nonlinear oscillator chains. Zbl 1080.37080
Iooss, Gérard; James, Guillaume
21
2005
Polynomial normal forms with exponentially small remainder for analytic vector fields. Zbl 1072.34039
Iooss, Gérard; Lombardi, Eric
18
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
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
Riemann-Hilbert and variational structure for standing waves. Zbl 1252.37053
Toland, J. F.; Iooss, G.
5
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
36
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
49
2000
Travelling waves in the Fermi-Pasta-Ulam lattice. Zbl 0960.37038
Iooss, Gérard
38
2000
Gravity and capillary-gravity periodic travelling waves for two superposed fluid layers, one being of infinite depth. Zbl 0926.76020
Iooss, Gérard
14
1999
Topics in bifurcation theory and applications. 2nd ed. Zbl 0968.34027
Iooss, G.; Adelmeyer, M.
60
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. Zbl 0874.34044
Iooss, Gérard
3
1997
On a conformal map, useful in the problem of stationary gravity waves. 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
14
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. 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.
86
1993
Capillary-gravity solitary waves with damped oscillations. Zbl 0778.76014
Dias, Frédéric; Iooss, Gérard
26
1993
Center manifold theory in infinite dimensions. Zbl 0751.58025
Vanderbauwhede, A.; Iooss, G.
108
1992
Water waves for small surface tension: An approach via normal form. Zbl 0767.76004
Iooss, Gérard; Kirchgässner, Klaus
67
1992
Topics in bifurcation theory and applications. Zbl 0833.34001
Iooss, Gérard; Adelmeyer, Moritz
54
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.
42
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
37
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
Hopf bifurcation in the presence of spherical symmetry: Analytical results. Zbl 0681.58030
Iooss, G.; Rossi, M.
2
1989
Nonlinear evolution of the two-dimensional Rayleigh-Taylor flow. Zbl 0677.76106
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.
6
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.
147
1987
Competition of azimuthal modes and quasi-periodic flows in the Couette- Taylor problem. Zbl 0635.76032
Chossat, P.; Demay, Y.; Iooss, G.
3
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.
25
1985
A Hopf bifurcation theorem for difference equations approximating a differential equation. Zbl 0546.58037
Hofbauer, J.; Iooss, G.
16
1984
A Hopf bifurcation theorem for difference equations approximating a differential equation. Zbl 0542.58018
Hofbauer, J.; Iooss, G.
7
1984
Bifurcation and transition to turbulence in hydrodynamics. Zbl 0537.58037
Iooss, Gérard
7
1984
Some codimension-two bifurcations for maps, leading to chaos. Zbl 0551.58023
Iooss, G.
5
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.
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
Barenblatt, G. I. (ed.); Iooss, G. (ed.); Joseph, D. D. (ed.)
9
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
Iooss, Gérard (ed.); Helleman, Robert H. G. (ed.); Stora, Raymond (ed.)
6
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.
12
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.
153
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.
12
1980
Bifurcation of maps and applications. Zbl 0408.58019
Iooss, G.
109
1979
Bifurcations de tores invariants. Zbl 0405.58033
Chenciner, A.; Iooss, G.
28
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
9
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.
11
1977
Sur la deuxième bifurcation d’une solution stationnaire de systèmes du type Navier-Stokes. Zbl 0356.35068
Iooss, G.
8
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
28
1972
Théorie non linéaire de la stabilité des ecoulements laminaires dans le cas de ’l’echange des stabilités’. Zbl 0218.76059
Iooss, G.
18
1971
Bifurcation des solutions périodiques de certains problèmes d’évolution. Zbl 0244.35007
Iooss, Gerard
6
1971
Sur la stabilité de la solution périodique secondaire intervenant dans certains problèmes d’évolution. Zbl 0244.35008
Iooss, Gerard
1
1971
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
...and 1 more Documents
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Cited by 1,674 Authors

41 Iooss, Gérard
18 Il’ichev, Andreĭ Teĭmurazovich
16 Valls Anglés, Cláudia
14 Montalto, Riccardo
13 Champneys, Alan R.
13 James, Guillaume
13 Schneider, Guido
12 Barreira, Luis Manuel
12 Berti, Massimiliano
12 Groves, Mark D.
12 Scheel, Arnd
11 Deng, Shengfu
11 Gaeta, Giuseppe
11 Guo, Shangjiang
11 Malomed, Boris A.
11 Wahlén, Erik
10 Bridges, Thomas J.
10 Chossat, Pascal
10 Dias, Frédéric
10 Peng, Mingshu
9 Doelman, Arjen
9 Golubitsky, Martin A.
9 Kagei, Yoshiyuki
8 Baldi, Pietro
8 Grimshaw, Roger Hamilton James
8 Knobloch, Edgar
8 Mielke, Alexander
8 Pelinovsky, Dmitry Efimovich
8 Roberts, Anthony John
8 Zhang, Weibin
8 Zumbrun, Kevin R.
7 Broer, Henk W.
7 Coullet, Pierre H.
7 de la Llave, Rafael
7 Lerman, Lev
7 Lombardi, Eric
7 Stewart, Ian Nicholas
7 Tirapegui, Enrique
7 Vanden-Broeck, Jean-Marc
7 Yu, Pei
6 Algaba, Antonio
6 Arino, Ovide
6 Bambusi, Dario
6 Haragus, Mariana
6 Magal, Pierre
6 Marques, Francisco
6 Recke, Lutz
6 Sire, Yannick
6 Stolovitch, Laurent
6 Sun, Shuming
6 Wen, Guilin
6 Xie, Jianhua
5 Alazard, Thomas
5 Braaksma, Boele L. J.
5 Buffoni, Boris
5 Clerc, Marcel G.
5 Freire Macías, Emilio
5 Herrmann, Michael
5 Hofbauer, Josef
5 Kevrekidis, Panayotis G.
5 Lamb, Jeroen S. W.
5 López, Juan Manuel
5 Meijer, Hil G. E.
5 Milewski, Paul A.
5 Murdock, James A.
5 Procesi, Michela
5 Toland, John Francis
5 Vega, José Manuel
5 Veltz, Romain
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 Chenciner, Alain
4 Choudhury, Sumitra Roy
4 Faye, Grégory
4 Franceschini, Valter
4 Gamero, Estanislao
4 Hanßmann, Heinz
4 Holmes, Philip J.
4 Huseyin, Koncay
4 Kevrekidis, Ioannis George
4 Kielhöfer, Hansjörg
4 Kubicek, Milan
4 Langford, William F.
4 Lu, Qishao
4 Martin, Calin-Iulian
4 Maspero, Alberto
4 Matthies, Karsten
4 Melbourne, Ian
4 Miyaji, Tomoyuki
4 Nishida, Takaaki
4 Părău, Emilian I.
4 Poláčik, Peter
4 Rademacher, Jens Diederich Michael
...and 1,574 more Authors
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Cited in 245 Serials

136 Physica D
89 Journal of Differential Equations
56 Archive for Rational Mechanics and Analysis
39 Journal of Fluid Mechanics
31 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
27 Journal of Nonlinear Science
25 Journal of Mathematical Analysis and Applications
25 Journal of Dynamics and Differential Equations
23 Chaos, Solitons and Fractals
21 ZAMP. Zeitschrift für angewandte Mathematik und Physik
21 Physics of Fluids
19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
19 Chaos
18 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
18 European Journal of Mechanics. B. Fluids
17 Communications in Mathematical Physics
17 Nonlinear Analysis. Theory, Methods & Applications
16 Nonlinear Dynamics
15 Journal of Statistical Physics
15 Journal of Computational and Applied Mathematics
14 Journal of Mathematical Biology
12 Journal of Computational Physics
12 Communications in Nonlinear Science and Numerical Simulation
11 Fluid Dynamics
11 Mathematics and Computers in Simulation
10 Applied Mathematics and Computation
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Journal of Mathematical Physics
9 Discrete and Continuous Dynamical Systems
9 Journal of Mathematical Fluid Mechanics
9 Regular and Chaotic Dynamics
9 SIAM Journal on Applied Dynamical Systems
8 Acta Mechanica
8 International Journal of Engineering Science
8 Nonlinearity
8 Theoretical and Computational Fluid Dynamics
8 Studies in Applied Mathematics
8 Transactions of the American Mathematical Society
8 Mathematical and Computer Modelling
7 Quarterly of Applied Mathematics
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 Wave Motion
6 Dynamics and Stability of Systems
6 Journal of Difference Equations and Applications
5 International Journal for Numerical Methods in Fluids
5 Meccanica
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 SIAM Journal on Mathematical Analysis
5 Journal of Mathematical Sciences (New York)
5 Qualitative Theory of Dynamical Systems
5 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 Computers & Mathematics with Applications
4 Mathematical Biosciences
4 Theoretical and Mathematical Physics
4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Automatica
4 Theoretical Population Biology
4 Applied Mathematics and Mechanics. (English Edition)
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 B
4 Communications on Pure and Applied Analysis
4 Discrete and Continuous Dynamical Systems. Series S
4 Journal of Applied Analysis and Computation
3 Journal of Engineering Mathematics
3 Journal of the Mechanics and Physics of Solids
3 Bulletin of Mathematical Biology
3 Prikladnaya Matematika i Mekhanika
3 Annales de l’Institut Fourier
3 Czechoslovak Mathematical Journal
3 Journal of Economic Theory
3 Memoirs of the American Mathematical Society
3 Acta Applicandae Mathematicae
3 Journal of Economic Dynamics & Control
3 MCSS. Mathematics of Control, Signals, and Systems
3 Journal of Scientific Computing
3 Japan Journal of Industrial and Applied Mathematics
3 SIAM Journal on Applied Mathematics
3 Electronic Journal of Differential Equations (EJDE)
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 Journal of Theoretical Biology
3 Advances in Nonlinear Analysis
2 Applicable Analysis
2 Astrophysics and Space Science
2 Computers and Fluids
2 Physica A
...and 145 more Serials
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Cited in 45 Fields

498 Dynamical systems and ergodic theory (37-XX)
464 Partial differential equations (35-XX)
393 Fluid mechanics (76-XX)
349 Ordinary differential equations (34-XX)
99 Biology and other natural sciences (92-XX)
82 Numerical analysis (65-XX)
80 Mechanics of particles and systems (70-XX)
73 Mechanics of deformable solids (74-XX)
58 Statistical mechanics, structure of matter (82-XX)
43 Operator theory (47-XX)
42 Global analysis, analysis on manifolds (58-XX)
36 Systems theory; control (93-XX)
31 Difference and functional equations (39-XX)
26 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
20 Classical thermodynamics, heat transfer (80-XX)
17 Geophysics (86-XX)
13 Optics, electromagnetic theory (78-XX)
12 Quantum theory (81-XX)
9 Integral equations (45-XX)
9 Probability theory and stochastic processes (60-XX)
8 Computer science (68-XX)
6 Operations research, mathematical programming (90-XX)
5 Astronomy and astrophysics (85-XX)
3 Commutative algebra (13-XX)
3 Convex and discrete geometry (52-XX)
3 Statistics (62-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Group theory and generalizations (20-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 General topology (54-XX)
2 Manifolds and cell complexes (57-XX)
2 Relativity and gravitational theory (83-XX)
1 History and biography (01-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 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 Differential geometry (53-XX)
1 Information and communication theory, circuits (94-XX)

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