Jaume Giné Mesa

Geometry and Topology · 2000–2013

A researcher in the Science corpus: 9 papers; trusts 7 researchers and is trusted by 6 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 21 citations into it; #3,164 of 7,422 by trust here, #2,293 by citations
• Statistical and Nonlinear Physics — 15 citations into it

Whom Jaume Giné Mesa trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Jaume Llibre
2. Adriana Buica
3. John M. Guckenheimer
4. Héctor Giacomini
5. Ferdinand Verhulst
6. Philip J. Holmes
7. Pei Yu
8. Marco Antonio Teixeira
9. Colin Christopher
10. Maoan Han

Who trusts Jaume Giné Mesa overall

1. Jaume Llibre
2. Maite Grau
3. Xiang Zhang
4. Feng Li
5. Isaac A. García
6. María Jesús Álvarez

Papers from Jaume Giné Mesa's perspective

Ordered by how strongly the researchers Jaume Giné Mesa trusts endorse each paper. Same corpus, a different order for every researcher.

1. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
2. Averaging methods for finding periodic orbits via Brouwer degree
3. Nonlinear Differential Equations and Dynamical Systems
4. On the shape of limit cycles that bifurcate from Hamiltonian centers
5. Periodic solutions of nonlinear periodic differential systems with a small parameter
6. Limit cycles of cubic polynomial vector fields via the averaging theory
7. The Center-Focus Problem and Reversibility
8. Chebyshev property of complete elliptic integrals and its application to abelian integrals
9. Relaxation Oscillations (Encyclopedia of Complexity and Systems Science)
10. Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points - Fold and Canard Points in Two Dimensions (SIAM Journal on Mathematical Analysis)

Their papers

• Averaging theory at any order for computing periodic orbits (2013) — 58 citations
• The reversibility and the center problem (2011) — 48 citations
• Integrability conditions for Lotka–Volterra planar complex quintic systems (2010) — 54 citations
• Limit cycles of cubic polynomial vector fields via the averaging theory (2007) — 60 citations
• On some open problems in planar differential systems and Hilbert’s 16th problem (2007) — 80 citations
• The problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systems (2005) — 113 citations
• Darboux integrability and the inverse integrating factor (2003) — 127 citations
• Local analytic integrability for nilpotent centers (2003) — 114 citations
• Isochronous centers of a linear center perturbed by fifth degree homogeneous polynomials (2000) — 67 citations