Laurent Cairó

Université d'Orléans — France

Mathematics · Physical Sciences

18h-index764citations47works0.52yr avg
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Research Topics

Advanced Differential Equations and Dynamical Systems(25), Nonlinear Waves and Solitons(17), Quantum chaos and dynamical systems(9), Ionosphere and magnetosphere dynamics(8), Fractional Differential Equations Solutions(4)

Publications47 total

New Exploration of Phase Portrait Classification of Quadratic Polynomial Differential Systems Based on Invariant Theory
AppliedMath·2025Open Access
Phase Portraits of the Family IV of the Quadratic Polynomial Differential Systems
Qualitative Theory of Dynamical Systems·2025· 1 citedOpen Access
Phase Portraits of Families VII and VIII of the Quadratic Systems
Axioms·2023· 2 citedOpen Access
Phase Portraits of the Families VII and VIII of the Quadratic Systems
Preprints.org·2023Open Access
Flat Solitary Waves due to a Submerged Body Moving in a Stratified Fluid
2017
Measurement of Plasma Resistivity at ELF
Geophysical monograph·2013
Phase Portraits of Planar Semi-Homogeneous Vector Fields (III)
Qualitative Theory of Dynamical Systems·2011· 8 citedOpen Access
Integrability and alegbraic solutions for the 2-D lotka-Volterra system
Lecture notes in physics·2008· 4 cited
Phase portraits of cubic polynomial vector fields of Lotka–Volterra type having a rational first integral of degree 2
Journal of Physics A Mathematical and Theoretical·2007· 25 cited
Polynomial first integrals for weight-homogeneous planar polynomial differential systems of weight degree 3
Journal of Mathematical Analysis and Applications·2006· 22 cited
Phase portraits of quadratic polynomial vector fields having a rational first integral of degree 2
Nonlinear Analysis·2006· 37 cited
Invariants for the generalized Lotka-Volterra equations
Lecture notes in physics·2005· 1 cited
Liouvillian first integrals for the planar Lotka-Volterra system
Rendiconti del Circolo Matematico di Palermo Series 2·2003· 41 cited
Darbouxian first integrals and invariants for real quadratic systems having an invariant conic
Journal of Physics A Mathematical and General·2002· 22 cited
Integrability of the 2D Lotka-Volterra system via polynomial first integrals and polynomial inverse integrating factors
Journal of Physics A Mathematical and General·2000· 20 cited
Darboux integrability for 3D Lotka-Volterra systems
Journal of Physics A Mathematical and General·2000· 60 cited
Darboux First Integral Conditions and Integrability of the 3D Lotka-Volterra System
Journal of Nonlinear Mathematical Physics·2000· 15 citedOpen Access
Phase portraits of planar semi-homogeneous vector fields (II)
Nonlinear Analysis·2000· 18 cited
A class of reversible cubic systems with an isochronous center
Computers & Mathematics with Applications·1999· 34 cited
Darboux method and search of invariants for the Lotka–Volterra and complex quadratic systems
Journal of Mathematical Physics·1999· 24 cited
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Frequent Co-authors

Jaume Llibre(18), Marc Feix(16), Dezheng Hua(7), L. R. O. Storey(5), S. Bouquet(3), P. G. L. Leach(2), J. Goedert(2), Joan C. Artés(2), C. Géronimi(1), R.L. Lemmer(1), F. Lefeuvre(1), M. Parrot(1), R. R. Anderson(1), Héctor Giacomini(1), F. Lefeuvre(1), J. Chavarriga(1), Jaume Giné(1), K. S. Govinder(1), Fernando Haas(1), Yasuo Tanaka(1)