Christiane Rousseau
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Canadian mathematician
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Mathematics
Why Is Christiane Rousseau Influential?
(Suggest an Edit or Addition)According to Wikipedia, Christiane Rousseau is a French and Canadian mathematician, a professor in the department of mathematics and statistics at the Université de Montréal. She was president of the Canadian Mathematical Society from 2002 to 2004.
Christiane Rousseau's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Linearization of Isochronous Centers (1995) (144)
- Hilbert′s 16th Problem for Quadratic Vector Fields (1994) (120)
- Cubic Lienard equations with linear damping (1990) (119)
- Normal Forms, Bifurcations and Finiteness Problems in Differential Equations (2004) (111)
- Normalizable, Integrable, and Linearizable Saddle Points for Complex Quadratic Systems in $$\mathbb{C}^2 $$ (2003) (96)
- Bifurcation Analysis of a Predator–Prey System with Generalised Holling Type III Functional Response (2008) (94)
- Global study of a family of cubic Lienard equations (1998) (79)
- DARBOUX LINEARIZATION AND ISOCHRONOUS CENTERS WITH A RATIONAL FIRST INTEGRAL (1997) (71)
- Bifurcation at Infinity in Polynomial Vector Fields (1993) (68)
- Bifurcation analysis of a generalized Gause model with prey harvesting and a generalized Holling response function of type III (2010) (63)
- Elementary graphics of cyclicity 1 and 2 (1994) (61)
- A system with three limit cycles appearing in a Hopf bifurcation and dying in a homoclinic bifurcati (1989) (55)
- Saddle quantities and applications (1989) (53)
- Local Bifurcation of Critical Periods in Vector Fields With Homogeneous Nonlinearities of the Third Degree (1993) (52)
- Hilbert's 16th problem for quadratic systems and cyclicity of elementary graphics (1996) (48)
- Normalizable, integrable and linearizable saddle points in the lotka-volterra system (2004) (46)
- MODULUS OF ANALYTIC CLASSIFICATION FOR UNFOLDINGS OF GENERIC PARABOLIC DIFFEOMORPHISMS (2004) (39)
- Nondegenerate linearizable centres of complex planar quadratic and symmetric cubic systems in $\mathbb{C}^2$ (2001) (36)
- Finite cyclicity of graphics with a nilpotent singularity of saddle or elliptic type (2002) (36)
- The centres in the reduced Kukles system (1995) (33)
- Codimension-three unfoldings of reflectionally symmetric planar vector fields (1997) (33)
- Cubic Vector Fields Symmetrical with Respect to a Center (1995) (30)
- Zeroes of complete elliptic integrals for 1:2 resonance (1991) (29)
- Complete system of analytic invariants for unfolded differential linear systems with an irregular singularity of Poincar\'e rank 1 (2011) (28)
- Analytical Moduli for Unfoldings of Saddle-Node Vector Fields (2007) (28)
- Codimension 2 Symmetric Homoclinic Bifurcations and Application to 1:2 Resonance (1990) (23)
- Topos theory and complex analysis (1977) (22)
- Almost Planar Homoclinic Loops in R3 (1996) (20)
- Modulus of analytic classification for the generic unfolding of a codimension 1 resonant diffeomorphism or resonant saddle (2007) (20)
- The moduli space of germs of generic families of analytic diffeomorphisms unfolding a parabolic fixed point (2007) (18)
- The Stokes phenomenon in the confluence of the hypergeometric equation using Riccati equation (2007) (18)
- Mathematics and Technology (2008) (17)
- Modulus of orbital analytic classification for a family unfolding a saddle-node (2005) (17)
- A Simple Proof for the Unicity of the Limit Cycle in the Bogdanov-Takens System (1990) (17)
- Bifurcation Methods in Polynomial Systems (1993) (15)
- Genericity conditions for finite cyclicity of elementary graphics (1999) (14)
- Complete System of Analytic Invariants for Unfolded Differential Linear Systems with an Rank k Irregular Singularity of Poincaré (2014) (14)
- Normal forms near a saddle-node and applications to finite cyclicity of graphics (2002) (13)
- Generalized Hopf bifurcations and applications to planar quadratic systems (1988) (13)
- Moduli Space of Unfolded Differential Linear Systems with an Irregular Singularity of Poincaré Rank 1 (2013) (12)
- PP-graphics with a nilpotent elliptic singularity in quadratic systems and Hilbert's 16th problem (2004) (12)
- The moduli space of germs of generic families of analytic diffeomorphisms unfolding of a codimension one resonant diffeomorphism or resonant saddle (2010) (12)
- Normal forms, bifurcations and finiteness properties of vector fields∗ (2003) (11)
- Clebsch–Gordan coefficients for E6 and SO(10) unification models (1984) (11)
- Mathematics of Planet Earth (2019) (8)
- Versal deformations of elements of classical Jordan algebras (1983) (8)
- Example of a quadratic system with two cycles appearing in a homoclinic loop bifurcation (1987) (8)
- Versal deformations of elements of real classical Lie algebras (1982) (8)
- Complex orthogonal and symplectic matrices depending on parameters (1982) (8)
- Study of the cyclicity of some degenerate graphics inside quadratic systems (2009) (7)
- Cyclicity of Graphics with Semi-Hyperbolic Points Inside Quadratic Systems (1998) (7)
- Savings and Loans (2008) (6)
- Generic 2-parameter perturbations of parabolic singular points of vector fields in ℂ (2017) (6)
- The modulus of analytic classification for the unfolding of the codimension-one flip and Hopf bifurcations (2011) (6)
- Moduli space for generic unfolded differential linear systems (2015) (6)
- Universal unfolding of a singularity of a symmetric vector field with 7-jet C ∞ -equivalent to y ∂/∂x+(±x 3 ±x 6 y) ∂/∂y (1990) (5)
- Clebsch–Gordan coefficients for SU(5)⊇SU(3)×SU(2)×U(1) theories (1983) (5)
- CLEBSCH-GORDAN COEFFICIENTS FOR SU(5) UNIFICATION MODELS (1987) (4)
- Divergent series: past, present, future ... (2013) (4)
- Organizing center for the bifurcation analysis of a generalized Gause model with prey harvesting and Holling response function of type III (2011) (4)
- NONDEGENERATE LINEARIZABLE CENTRES OF COMPLEX PLANAR QUADRATIC AND SYMMETRIC CUBIC SYSTEMS IN C C. Christopher and C. Rousseau Abstract (2001) (4)
- The root extraction problem (2007) (3)
- Hilbert's 16th problem for quadratic vector fields and cyclicity of graphics (1997) (3)
- Finite cyclicity of some center graphics through a nilpotent point inside quadratic systems (2015) (3)
- Chapter 3: Weather and Climate (2015) (3)
- Google and the Page Rank Algorithm (2008) (3)
- Dimensions of orbits and strata in complex and real classical Lie algebras (1982) (3)
- Finite cyclicity of nilpotent graphics of pp-type surrounding a center ∗ (2008) (3)
- Spiderweb Central Configurations (2018) (3)
- Analytic Normal forms and inverse problems for unfoldings of 2-dimensional saddle-nodes with analytic center manifold (2016) (3)
- Mathematics Everywhere (2021) (3)
- The DNA Computer (2008) (3)
- Random Number Generators (2008) (3)
- On the Universal Unfolding of Vector Fields in One Variable: A Proof of Kostov’s Theorem (2020) (2)
- Chapter 8: Energy (2015) (2)
- Finite cyclicity of finite codimension nondegerate homoclinic loops with real eigenvalues in ℝ3 (2001) (2)
- Analytic classification of germs of parabolic antiholomorphic diffeomorphisms of codimension k (2020) (2)
- Remarks on Rational Vector Fields on ℂ ℙ 1 (2019) (2)
- Kepler’s conjecture on the packing of spheres (2011) (1)
- Spectral decomposition theorem for real symmetric matrices in topoi and applications (1985) (1)
- Mathematics of Planet Earth 2013 (2012) (1)
- Finite Cyclicity of Some Graphics Through a Nilpotent Point of Saddle Type Inside Quadratic Systems (2015) (1)
- Chapter 5: Biosphere (2015) (1)
- Analytic Classification of Generic Unfoldings of Antiholomorphic Parabolic Fixed Points of Codimension 1 (2021) (1)
- Rolle’s theorem: from a simple theorem to an extremely powerful tool (2011) (1)
- Mathematics of Planet Earth: Mathematicians Reflect on How to Discover, Organize, and Protect Our Planet (2015) (1)
- Image Compression The JPEG Standard (2008) (1)
- A stratum of cubic vector fields with an integrable saddle and symmetry (1996) (1)
- The modulus of unfoldings of cusps in conformal geometry (2012) (1)
- Banach fixed point theorem and applications (2010) (1)
- Chapter 11: Climate Change (2015) (1)
- Two-parameter unfolding of a parabolic point of a vector field in ℂ fixing the origin (2021) (1)
- Chapter 2: Ocean and Atmosphere (2015) (0)
- An air inlet in a diesel engine and device control processes. (1986) (0)
- Method and device for electronic protection against vehicle theft (1985) (0)
- Four themes with potential examples of modules for a virtual exhibition on the “ Mathematics of Planet Earth ” (2011) (0)
- pressure sensor has the admission of an internal combustion engine (1980) (0)
- Method for using a navigation system in a board a motor vehicle (1997) (0)
- Lectures at the Leading Edge : Efim Zelmanov and Alex Lubotzky (2010) (0)
- Mathematical developments around Hilbert ’ s 16 th problem (2007) (0)
- How Inge Lehmann Discovered the Inner Core of the Earth (2013) (0)
- Supporting Science-Based Decision-Making (2022) (0)
- Error Correcting Codes (2008) (0)
- Chapter 6: Ecology and Evolution (2015) (0)
- Skeletons and Gamma Ray Radiosurgery (2008) (0)
- Chapter 1: Planet Earth (2015) (0)
- Chapter 7: Communication and Representation (2015) (0)
- Friezes and Mosaics (2008) (0)
- Development of a post processor package for structural analysis on a microcomputer. (1985) (0)
- ELEMENTARY GRAPHICS OF CYCLICITY-1 AND CYCLICITY-2 (1994) (0)
- George Pólya Awards for 2021 (2021) (0)
- Why 44100 Samples per Second (2008) (0)
- Chapter 10: Human Behavior (2015) (0)
- How Google works (2010) (0)
- Some geometries to describe nature (2016) (0)
- Intrinsic character of Stokes matrices (2016) (0)
- International Day of Mathematics (2019) (0)
- Chapter 4: Beyond Planet Earth (2015) (0)
- The bifurcation diagram of cubic polynomial vector fields on $\mathbb{C}\mathbb{P}^1$ (2015) (0)
- Navigation auxiliary device in a system on board a vehicle (1998) (0)
- Mathematics: A Living Discipline within Science and Technology. (2001) (0)
- Chapter 12: Biological Threats (2015) (0)
- Hamiltonian bifurcations and local analytic classification (2004) (0)
- Joining forces in international mathematics outreach efforts (2016) (0)
- Chapter 13: Predicting Catastrophes and Managing Risk (2015) (0)
- Chapter 9: Economics and Finance (2015) (0)
- Positioning on Earth and in Space (2008) (0)
- Finite Cyclicity of Some Graphics Through a Nilpotent Point of Saddle Type Inside Quadratic Systems (2015) (0)
- Resilience in the Digital Age (2020) (0)
- Remarks on Rational Vector Fields on $\mathbb {C}\mathbb {P}^{1}$ (2020) (0)
- RELATIVE EXACTNESS FOR VECTOR FIELDS IN C 2 (2003) (0)
- Method for replenishing a fuel internal combustion engine as a result of a cut in deceleration (1986) (0)
- Matemáticas del planeta Tierra : unidad didáctica (2013) (0)
- Two-parameter unfolding of a parabolic point of a vector field in $\mathbb C$ fixing the origin. (2018) (0)
- Public Key Cryptography (2008) (0)
- system for adjusting the position of a sensor (1980) (0)
- Image Compression Iterated Function Systems (2008) (0)
- [New concepts of work in the sitting position]. (1967) (0)
- The Equivalence Problem in Analytic Dynamics for 1-Resonance (2020) (0)
- The Role of Mathematicians in Popularization of Mathematics (2011) (0)
- Calculator ignition advance has a function of fuel cut-off for a motor vehicle (1983) (0)
- FINITE CYCLICITY OF SOME CENTER GRAPHICS A NILPOTENT POINT INSIDE QUADRATIC (2015) (0)
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Christiane Rousseau is affiliated with the following schools:
