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- Gérard Iooss

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
34
Citations
7,769
120
World Ranking
1978
National Ranking
126

2008 - Ampère Prize (Prix Ampère de l’Électricité de France), French Academy of Sciences

- Mathematical analysis
- Quantum mechanics
- Geometry

Gérard Iooss mainly investigates Mathematical analysis, Classical mechanics, Bifurcation, Nonlinear system and Bifurcation theory. His Mathematical analysis research includes themes of Dynamical systems theory, Vector field and Homogeneous space. His study looks at the relationship between Bifurcation and topics such as Coupling, which overlap with Point, Structure and Phase.

His biological study spans a wide range of topics, including Turbulence, K-epsilon turbulence model and Reynolds decomposition. His research integrates issues of Saddle-node bifurcation and Bifurcation diagram in his study of Bifurcation theory. The various areas that Gérard Iooss examines in his Bifurcation diagram study include Nonlinear operators and Period-doubling bifurcation.

- Elementary stability and bifurcation theory (1024 citations)
- A simple global characterization for normal forms of singular vector fields (377 citations)
- The Couette-Taylor problem (334 citations)

Gérard Iooss mainly focuses on Mathematical analysis, Bifurcation, Classical mechanics, Bifurcation theory and Center manifold. Specifically, his work in Mathematical analysis is concerned with the study of Partial differential equation. His work in Bifurcation addresses issues such as Torus, which are connected to fields such as Invariant.

His Classical mechanics research integrates issues from Amplitude, Mechanics and Longitudinal wave. While the research belongs to areas of Bifurcation theory, he spends his time largely on the problem of Flow, intersecting his research to questions surrounding Gravitational wave. His Center manifold research incorporates elements of Invariant manifold and Ordinary differential equation.

- Mathematical analysis (62.88%)
- Bifurcation (25.76%)
- Classical mechanics (16.67%)

- Mathematical analysis (62.88%)
- Classical mechanics (16.67%)
- Quasiperiodic function (6.82%)

Gérard Iooss mostly deals with Mathematical analysis, Classical mechanics, Quasiperiodic function, Swift–Hohenberg equation and Invariant. In general Mathematical analysis study, his work on Partial differential equation often relates to the realm of Complex system, thereby connecting several areas of interest. His Classical mechanics research incorporates themes from Nonlinear theory, Nonlinear system, Clapotis and Eigenvalues and eigenvectors.

His work investigates the relationship between Swift–Hohenberg equation and topics such as Divisor that intersect with problems in Type, Fluid mechanics and Ordinary differential equation. He combines subjects such as Linear subspace, Analytic manifold, Manifold, Invariant manifold and Vector field with his study of Invariant. His Amplitude research includes elements of Infinity and Bifurcation theory.

- Local Bifurcations, Center Manifolds, and Normal Forms in Infinite-Dimensional Dynamical Systems (129 citations)
- Standing Waves on an Infinitely Deep Perfect Fluid Under Gravity (106 citations)
- Localized waves in nonlinear oscillator chains (68 citations)

- Mathematical analysis
- Quantum mechanics
- Geometry

His primary areas of study are Mathematical analysis, Nonlinear system, Asymptotic expansion, Perfect fluid and Differential equation. His Mathematical analysis research is multidisciplinary, incorporating perspectives in Bifurcation theory, Bifurcation, Classical mechanics, Surface and Gravitational wave. His Bifurcation theory research is multidisciplinary, relying on both Invertible matrix, Quadratic equation, Gravity wave, Change of variables and Scalar.

Gérard Iooss interconnects Breather, Center manifold, Principal part, Ordinary differential equation and Homoclinic orbit in the investigation of issues within Classical mechanics. His work on Linearization as part of general Nonlinear system research is frequently linked to Trigonometric polynomial, bridging the gap between disciplines. His Differential equation research is multidisciplinary, incorporating elements of Discretization, Integrable system, Mathematical physics and Eigenvalues and eigenvectors.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Elementary stability and bifurcation theory

Gérard Iooss;Daniel D. Joseph.

**(1980)**

1640 Citations

Elementary stability and bifurcation theory

Gérard Iooss;Daniel D. Joseph.

**(1980)**

1640 Citations

A simple global characterization for normal forms of singular vector fields

C. Elphick;E. Tirapegui;M. E. Brachet;P. Coullet.

Physica D: Nonlinear Phenomena **(1987)**

589 Citations

A simple global characterization for normal forms of singular vector fields

C. Elphick;E. Tirapegui;M. E. Brachet;P. Coullet.

Physica D: Nonlinear Phenomena **(1987)**

589 Citations

The Couette-Taylor problem

Pascal Chossat;Gérard Iooss.

**(1994)**

522 Citations

The Couette-Taylor problem

Pascal Chossat;Gérard Iooss.

**(1994)**

522 Citations

Topics in bifurcation theory and applications

Gérard Iooss;Moritz Adelmeyer.

**(1999)**

388 Citations

Local Bifurcations, Center Manifolds, and Normal Forms in Infinite-Dimensional Dynamical Systems

Mariana Haragus;Gérard Iooss.

**(2018)**

388 Citations

Local Bifurcations, Center Manifolds, and Normal Forms in Infinite-Dimensional Dynamical Systems

Mariana Haragus;Gérard Iooss.

**(2018)**

388 Citations

Topics in bifurcation theory and applications

Gérard Iooss;Moritz Adelmeyer.

**(1999)**

388 Citations

European Journal of Mechanics, B/Fluids

(Impact Factor: 2.598)

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