Gérard Iooss

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All published works

Action	Title	Year	Authors
+	Heteroclinic for a 6-Dimensional Reversible System Occurring in Orthogonal Domain Walls in Convection	2024	Gérard Iooss
+ PDF Chat	Existence of Orthogonal Domain walls in Bénard-Rayleigh Convection	2024	Gérard Iooss
+	Heteroclinic for a 6-dimensional reversible system occuring in orthogonal domain walls in convection	2024	Gérard Iooss
+ PDF Chat	Heteroclinic for a 6-dimensional reversible system - Domain walls in convection Gérard Iooss	2023	Gérard Iooss
+	Heteroclinic for a 6-dimensional reversible system -Domain walls in convection	2023	Gérard Iooss
+ PDF Chat	Convection de Bénard–Rayleigh. Cas libre-libre	2023	Gérard Iooss
+	Heteroclinic orbits for a system of amplitude equations for orthogonal domain walls	2023	Boris Buffoni Mariana Hărăguş Gérard Iooss
+ PDF Chat	Patterns and Quasipatterns from the Superposition of Two Hexagonal Lattices	2022	Gérard Iooss A. M. Rucklidge
+ PDF Chat	Heteroclinic orbits for a system of amplitude equations for orthogonal domain walls	2021	Boris Buffoni Mariana Hărăguş Gérard Iooss
+ PDF Chat	Domain Walls for the Bénard–Rayleigh Convection Problem with “Rigid–Free” Boundary Conditions	2021	Mariana Hărăguş Gérard Iooss
+ PDF Chat	Bifurcation of symmetric domain walls for the Bénard-Rayleigh convection problem	2021	Mariana Hărăguş Gérard Iooss
+ PDF Chat	Patterns and quasipatterns from the superposition of two hexagonal lattices	2020	Gérard Iooss A. M. Rucklidge
+ PDF Chat	Existence of symmetric domain walls for the Bénard-Rayleigh convection problem	2019	Gérard Iooss Mariana Hărăguş
+ PDF Chat	Existence of quasipatterns in the superposition of two hexagonal patterns	2019	Gérard Iooss
+ PDF Chat	Proof of Quasipatterns for the Swift–Hohenberg Equation	2017	B. L. J. Braaksma Gérard Iooss Laurent Stolovitch
+ PDF Chat	Erratum to: Existence of Quasipattern Solutions of the Swift–Hohenberg Equation	2013	B. L. J. Braaksma Gérard Iooss Laurent Stolovitch
+	Quelques problèmes de petits diviseurs en Mécanique des Fluides	2013	Gérard Iooss
+ PDF Chat	Existence of Quasipattern Solutions of the Swift–Hohenberg Equation	2013	B. L. J. Braaksma Gérard Iooss Laurent Stolovitch
+	Local Bifurcations, Center Manifolds, and Normal Forms in Infinite-Dimensional Dynamical Systems	2010	Mariana Hărăguş Gérard Iooss
+	Center Manifolds	2010	Mariana Hărăguş Gérard Iooss
+	Reversible Bifurcations	2010	Mariana Hărăguş Gérard Iooss
+ PDF Chat	On the Existence of Quasipattern Solutions of the Swift–Hohenberg Equation	2010	Gérard Iooss A. M. Rucklidge
+ PDF Chat	Approximate invariant manifolds up to exponentially small terms	2010	Gérard Iooss Eric Lombardi
+ PDF Chat	Small divisor problem in the theory of three-dimensional water gravity waves	2009	Gérard Iooss П. И. Плотников
+	WATER-WAVES AND REVERSIBLE SPATIAL DYNAMICS	2009	Gérard Iooss
+ PDF Chat	Asymmetric periodic traveling wave patterns of two-dimensional Boussinesq systems	2008	Min Chen Gérard Iooss
+ PDF Chat	Normal form for travelling kinks in discrete Klein–Gordon lattices	2006	Gérard Iooss Dmitry E. Pelinovsky
+ PDF Chat	Periodic wave patterns of two-dimensional Boussinesq systems	2006	Min Chen Gérard Iooss
+	Small divisor problem in the theory of three-dimensional water gravity waves	2006	Gérard Iooss П. И. Плотников
+	Recent progresses in the couette-taylor problem	2005	Gérard Iooss
+ PDF Chat	Water waves as a spatial dynamical system; infinite depth case	2005	Matthieu Barrandon Gérard Iooss
+ PDF Chat	Existence of Multimodal Standing Gravity Waves	2005	Gérard Iooss П. И. Плотников
+ PDF Chat	Polynomial normal forms with exponentially small remainder for analytic vector fields	2004	Gérard Iooss Eric Lombardi
+ PDF Chat	Normal forms with exponentially small remainder: application to homoclinic connections for the reversible <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:msup><mml:mn>0</mml:mn><mml:mrow><mml:mn>2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:mi mathvariant="normal">i</mml:mi><mml:mi>ω</mml:mi></mml:math> resonance	2004	Gérard Iooss Eric Lombardi
+ PDF Chat	Standing waves for a two-way model system for water waves	2004	Min Chen Gérard Iooss
+ PDF Chat	Standing waves on infinite depth	2004	Gérard Iooss П. И. Плотников John Toland
+	Formes normales avec reste exponentiellement petit : application aux orbites homoclines pour la resonance 0 2+ i! reversible	2004	Gérard Iooss Eric Lombardi
+	Normal forms with exponentially small remainder: application to homoclinic connections for the reversible 02+i? resonance	2004	Gérard Iooss Eric Lombardi
+ PDF Chat	Normal forms with exponentially small remainder : application to homoclinic connections for the reversible 0 2+ iω resonance	2004	Gérard Iooss Eric Lombardi
+ PDF Chat	Gravity solitary waves with polynomial decay to exponentially small ripples at infinity	2003	Eric Lombardi Gérard Iooss
+ PDF Chat	Water-Waves as a Spatial Dynamical System	2003	Frédéric Dias Gérard Iooss
+ PDF Chat	Gravity travelling waves for two superposed fluid layers, one being of infinite depth: a new type of bifurcation	2002	Gérard Iooss Eric Lombardi Shu Ming Sun
+ PDF Chat	Travelling waves in the Fermi-Pasta-Ulam lattice	2000	Gérard Iooss
+	Gravity and Capillary-Gravity Periodic Travelling Waves for Two Superposed Fluid Layers, One Being of Infinite Depth	1999	Gérard Iooss
+	Ondes progressives périodiques dans une chaîne d'oscillateurs non linéaires couplés	1998	Gérard Iooss Klaus Kirchgässner
+	Structure of the linearized problem for compressible parallel fluid flows	1997	Gérard Iooss Mariarosaria Padula
+	Sur une transformation conforme, utile dans le problème des ondes de gravité stationnaires	1997	Gérard Iooss
+	On the linearized problem for a second grade fluid around the 3-D Poiseuille flow	1997	Gérard Iooss Mariarosaria Padula
+	Existence d'orbites homoclines à un équilibre elliptique, pour un système réversible	1997	Gérard Iooss
+	Capillary gravity waves on the free surface of an inviscid fluid of infinite depth. Existence of solitary waves	1996	Gérard Iooss Pius Kirrmann
+	A codimension 2 bifurcation for reversible vector fields	1995	Gérard Iooss
+	Capillary-gravity solitary waves with damped oscillations	1993	Frédéric Dias Gérard Iooss
+	Perturbed Homoclinic Solutions in Reversible 1:1 Resonance Vector Fields	1993	Gérard Iooss Marie-Christine Pérouème
+	Topics in Bifurcation Theory and Applications	1992	Gérard Iooss Moritz Adelmeyer
+	Water waves for small surface tension: an approach via normal form	1992	Gérard Iooss Klaus Kirchgässner
+	Bifurcating time-periodic solutions of Navier-Stokes equations in infinite cylinders	1991	Gérard Iooss Alexander Mielke
+	Bifurcation of spatially quasi-periodic solutions in hydrodynamic stability problems	1990	Gérard Iooss Jérôme Los
+	Asymptotic Solutions of Evolution Problems	1990	Gérard Iooss Daniel D. Joseph
+	Bifurcation of Steady Solutions in Two Dimensions and the Stability of the Bifurcating Solutions	1990	Gérard Iooss Daniel D. Joseph
+	Bifurcation of Forced T-Periodic Solutions into Asymptotically Quasi-Periodic Solutions	1990	Gérard Iooss Daniel D. Joseph
+	Bifurcation of Periodic Solutions from Steady Ones (Hopf Bifurcation) in Two Dimensions	1990	Gérard Iooss Daniel D. Joseph
+	Bifurcation and Stability of Steady Solutions of Evolution Equations in One Dimension	1990	Gérard Iooss Daniel D. Joseph
+	Secondary Subharmonic and Asymptotically Quasi-Periodic Bifurcation of Periodic Solutions (of Hopf’s Type) in the Autonomous Case	1990	Gérard Iooss Daniel D. Joseph
+	Stability of Steady Solutions of Evolution Equations in Two Dimensions and n Dimensions	1990	Gérard Iooss Daniel D. Joseph
+	Imperfection Theory and Isolated Solutions Which Perturb Bifurcation	1990	Gérard Iooss Daniel D. Joseph
+	Bifurcation of Periodic Solutions in the General Case	1990	Gérard Iooss Daniel D. Joseph
+	Subharmonic Bifurcation of Forced T-Periodic Solutions	1990	Gérard Iooss Daniel D. Joseph
+	Methods of Projection for General Problems of Bifurcation into Steady Solutions	1990	Gérard Iooss Daniel D. Joseph
+ PDF Chat	Elementary Stability and Bifurcation Theory	1990	Gérard Iooss Daniel D. Joseph
+	Strong selection or rejection of spatially periodic patterns in degenerate bifurcations	1989	Wiktor Eckhaus Gérard Iooss
+	Hopf Bifurcation in the Presence of Spherical Symmetry: Analytical Results	1989	Gérard Iooss Maurizia Rossi
+	Global characterization of the normal form for a vector field near a closed orbit	1988	Gérard Iooss
+ PDF Chat	Quasi-genericity of bifurcations to high dimensional invariant tori for maps	1988	Gérard Iooss Jérôme Los
+	Quasi-Codimension 3 Bifurcation of Invariant T2 Tori for Maps	1988	Gérard Iooss Jérôme Los
+	A simple global characterization for normal forms of singular vector fields	1987	Christian Elphick E. Tirapegui Marc Brächet P. Coullet Gérard Iooss
+	Normal form reduction for time-periodically driven differential equations	1987	Christian Elphick Gérard Iooss E. Tirapegui
+	Reduction of the Dynamics of a Bifurcation Problem Using Normal forms and Symmetries	1987	Gérard Iooss
+	A Hopf bifurcation theorem for difference equations approximating a differential equation	1984	Josef Hofbauer Gérard Iooss
+	Some Codimension-Two Bifurcations for Maps, Leading to Chaos	1984	Gérard Iooss
+	Simple computation of bifurcating invariant circles for mappings	1981	Gérard Iooss A. Arnéodo P. Coullet C. Tresser
+	Bifurcation of invariant tori in R3	1980	Gérard Iooss
+	Stability of Steady Solutions of Evolution Equations in Two Dimensions and n Dimensions	1980	Gérard Iooss Daniel D. Joseph
+	Subharmonic Bifurcation of Forced T-Periodic Solutions	1980	Gérard Iooss Daniel D. Joseph
+	Interactions of Hopf and Pitchfork Bifurcations	1980	William F. Langford Gérard Iooss
+ PDF Chat	Elementary Stability and Bifurcation Theory	1980	Gérard Iooss Daniel D. Joseph
+	Methods of Projection for General Problems of Bifurcation into Steady Solutions	1980	Gérard Iooss Daniel D. Joseph
+	Bifurcation of Periodic Solutions in the General Case	1980	Gérard Iooss Daniel D. Joseph
+	Bifurcation and Stability of Steady Solutions of Evolution Equations in One Dimension	1980	Gérard Iooss Daniel D. Joseph
+	Bifurcation of Periodic Solutions from Steady Ones (Hopf Bifurcation) in Two Dimensions	1980	Gérard Iooss Daniel D. Joseph
+	Secondary Subharmonic and Asymptotically Quasi-Periodic Bifurcation of Periodic Solutions (of Hopf’s Type) in the Autonomous Case	1980	Gérard Iooss Daniel D. Joseph
+	Bifurcation of Forced T-Periodic Solutions into Asymptotically Quasi-Periodic Solutions	1980	Gérard Iooss Daniel D. Joseph
+	Bifurcation of Steady Solutions in Two Dimensions and the Stability of the Bifurcating Solutions	1980	Gérard Iooss Daniel D. Joseph
+	Persistance et bifurcation de tores invariants	1979	Alain Chenciner Gérard Iooss
+	Bifurcation of the stationary Ekman flow into a stable periodic flow	1978	Gérard Iooss Hans Bruun Nielsen Hans True
+	BIFURCATIONS SUCCESSIVES ET STABILITÉ	1978	Gérard Iooss
+	Sur la deuxième bifurcation d'une solution stationnaire de systèmes du type Navier-Stokes	1977	Gérard Iooss
+	Bifurcation and stability of nT-periodic solutions branching from T-periodic solutions at points of resonance	1977	Gérard Iooss D. D. Joseph
+	Secondary or Direct Bifurcation of a Steady Solution of the Navier-Stokes Equations into an Invariant Torus	1976	Gérard Iooss
+	Secondary bifurcation of a steady solution into an invariant torus for evolution problems of Navier-Stokes’ type	1976	Gérard Iooss
+	Direct bifurcation of a steady solution of the Navier-stokes equations into an invariant torus	1976	Gérard Iooss
+	Bifurcation of a T-periodic flow towards an nT-periodic flow and their non-linear stabilities	1974	Gérard Iooss
+	Bifurcation et stabilité	1972	Gérard Iooss

Common Coauthors

Coauthor	Papers Together
Daniel D. Joseph	22
Mariana Hărăguş	8
Eric Lombardi	8
П. И. Плотников	4
Laurent Stolovitch	3
B. L. J. Braaksma	3
Jérôme Los	3
A. M. Rucklidge	3
Klaus Kirchgässner	2
Frédéric Dias	2
E. Tirapegui	2
Boris Buffoni	2
Mariarosaria Padula	2
Christian Elphick	2
P. Coullet	2
Josef Hofbauer	1
Min Chen	1
Min Chen	1
Min Chen	1
Hans Bruun Nielsen	1
C. Tresser	1
Matthieu Barrandon	1
Shu Ming Sun	1
A. Arnéodo	1
Marie-Christine Pérouème	1
William F. Langford	1
Marc Brächet	1
Hans True	1
Alain Chenciner	1
Pius Kirrmann	1
Dmitry E. Pelinovsky	1
Maurizia Rossi	1
D. D. Joseph	1
John Toland	1
Alexander Mielke	1
Moritz Adelmeyer	1
Wiktor Eckhaus	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	19
+	On the nature of turbulence	1971	David Ruelle Floris Takens	12
+	Wave-solutions of reversible systems and applications	1982	Klaus Kirchgässner	11
+	Perturbed Homoclinic Solutions in Reversible 1:1 Resonance Vector Fields	1993	Gérard Iooss Marie-Christine Pérouème	9
+	A simple global characterization for normal forms of singular vector fields	1987	Christian Elphick E. Tirapegui Marc Brächet P. Coullet Gérard Iooss	9
+	Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields	1983	John Guckenheimer Philip Holmes	9
+	Bifurcation of periodic solutions into invariant tori: The work of Ruelle and Takens	1973	Oscar E. Lanford	9
+ PDF Chat	On the nature of turbulence	1971	David Ruelle Floris Takens	8
+	Topics in Bifurcation Theory and Applications	1992	Gérard Iooss Moritz Adelmeyer	7
+	Oscillatory Integrals and Phenomena Beyond all Algebraic Orders: with Applications to Homoclinic Orbits in Reversible Systems	2000	Eric Lombardi	7
+	Reduction of quasilinear elliptic equations in cylindrical domains with applications	1988	Alexander Mielke	6
+	Singularities and Groups in Bifurcation Theory	1988	Martin Golubitsky Ian Stewart David G. Schaeffer	6
+	Local Bifurcations, Center Manifolds, and Normal Forms in Infinite-Dimensional Dynamical Systems	2010	Mariana Hărăguş Gérard Iooss	6
+	The inverse function theorem of Nash and Moser	1982	Richard S. Hamilton	5
+ PDF Chat	Construction of periodic solutions of nonlinear wave equations in higher dimension	1995	Jean Bourgain	5
+	Existence of solitary internal waves in a two-layer fluid of infinite depth	1997	Shuyang Sun	5
+	Orbits Homoclinic to Exponentially Small Periodic Orbits for a Class of Reversible Systems. Application to Water Waves	1997	Eric Lombardi	5
+	Water waves for small surface tension: an approach via normal form	1992	Gérard Iooss Klaus Kirchgässner	4
+ PDF Chat	Gravity travelling waves for two superposed fluid layers, one being of infinite depth: a new type of bifurcation	2002	Gérard Iooss Eric Lombardi Shu Ming Sun	4
+	Capillary gravity waves on the free surface of an inviscid fluid of infinite depth. Existence of solitary waves	1996	Gérard Iooss Pius Kirrmann	4
+	Geometrical Methods in the Theory of Ordinary Differential Equations	1988	V. I. Arnold	4
+	Gravity and Capillary-Gravity Periodic Travelling Waves for Two Superposed Fluid Layers, One Being of Infinite Depth	1999	Gérard Iooss	4
+ PDF Chat	An abstract Nash–Moser theorem with parameters and applications to PDEs	2009	Massimiliano Berti Philippe Bolle Michela Procesi	4
+	Exponentially Small Estimate for the Amplitude of Capillary Ripples of a Generalized Solitary Wave	1993	S. M. Sun M. C. Shen	4
+	Bifurcation of spatially quasi-periodic solutions in hydrodynamic stability problems	1990	Gérard Iooss Jérôme Los	4
+	Bifurcating time periodic solutions and their stability	1972	D. D. Joseph D. H. Sattinger	4
+ PDF Chat	Water-Waves as a Spatial Dynamical System	2003	Frédéric Dias Gérard Iooss	4
+	Non–existence of truly solitary waves in water with small surface tension	1999	S. M. Sun	4
+	Existence of a generalized solitary wave solution for water with positive bond number less than 13	1991	S. M. Sun	4
+ PDF Chat	Geometrical Methods in the Theory of Ordinary Differential Equations	1983	Vladimir I. Arnold	4
+	On the Nature of Turbulence	1995	David Ruelle Floris Takens	4
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	4
+ PDF Chat	On the Existence of Quasipattern Solutions of the Swift–Hohenberg Equation	2010	Gérard Iooss A. M. Rucklidge	4
+	Persistance et bifurcation de tores invariants	1979	Alain Chenciner Gérard Iooss	4
+	On the origin of convection	1966	V.I. Iudovich	4
+	Boussinesq Equations and Other Systems for Small-Amplitude Long Waves in Nonlinear Dispersive Media. I: Derivation and Linear Theory	2002	Jerry L. Bona Chen Chen Saut	3
+ PDF Chat	Long Wave Approximations for Water Waves	2005	Jerry L. Bona Thierry Colin David Lannes	3
+ PDF Chat	Sur la Conjugaison Différentiable des Difféomorphismes du Cercle a des Rotations	1979	Michael R. Herman	3
+ PDF Chat	Travelling waves in the Fermi-Pasta-Ulam lattice	2000	Gérard Iooss	3
+ PDF Chat	An existence theory for three-dimensional periodic travelling gravity–capillary water waves with bounded transverse profiles	2001	M. D. Groves	3
+	Centre Manifolds, Normal Forms and Elementary Bifurcations	1989	André Vanderbauwhede	3
+	Problèmes de petits diviseurs dans les équations aux dérivées partielles	2000	Walter Craig	3
+	Perturbation of a Hopf bifurcation by an external time-periodic forcing	1985	J. M. Gambaudo	3
+	Bifurcations in the presence of a symmetry group	1973	David Ruelle	3
+	Bifurcations De Points Fixes Elliptiques	1987	Alain Chenciner	3
+	Stability of convection flows	1967	V.I. Iudovich	3
+ PDF Chat	Gravity solitary waves with polynomial decay to exponentially small ripples at infinity	2003	Eric Lombardi Gérard Iooss	3
+	Bifurcation of higher dimensional tori	1979	George R. Sell	3
+	Bifurcation into invariant tori at points of resonance	1978	Yieh-Hei Wan	3
+ PDF Chat	Convergence properties of the 8, 10 and 12 mode representations of quasipatterns	2003	A. M. Rucklidge W.J. Rucklidge	3