Jaume Llibre

Geometry and Topology · 2000–2018

A researcher in the Science corpus: 51 papers; trusts 34 researchers and is trusted by 30 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 90 citations into it; #441 of 7,422 by trust here, #183 by citations
• Statistical and Nonlinear Physics — 61 citations into it; #851 of 10,127 by trust here, #871 by citations
• Astronomy and Astrophysics — 10 citations into it; #2,935 of 10,964 by trust here, #7,186 by citations
• Biochemistry — 10 citations into it
• Computational Theory and Mathematics — 10 citations into it; #4,085 of 12,182 by trust here, #5,724 by citations
• Control and Systems Engineering — 9 citations into it
• Mathematical Physics — 8 citations into it
• Network Science & Complex Systems — 6 citations into it

Whom Jaume Llibre trusts overall

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

1. Adriana Buica
2. Songmei Huan
3. Ferdinand Verhulst
4. Sebastian Walcher
5. Enrique Ponce
6. Xiao-Song Yang
7. Colin Christopher
8. Claudio Aguinaldo Buzzi
9. Emilio Freire
10. Xiang Zhang

Who trusts Jaume Llibre overall

1. Xiang Zhang
2. Maoan Han
3. Douglas Duarte Novaes
4. Isaac A. García
5. Jaume Giné Mesa
6. Maite Grau
7. L. P. D. da Cruz
8. Marco Antonio Teixeira
9. Ana Cristina Mereu
10. Adriana Buica

Papers from Jaume Llibre's perspective

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

1. THREE NESTED LIMIT CYCLES IN DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS WITH TWO ZONES
2. Averaging methods for finding periodic orbits via Brouwer degree
3. Nonlinear Differential Equations and Dynamical Systems
4. On the number of limit cycles in general planar piecewise linear systems of node–node types ☆
5. On Hopf bifurcation in non-smooth planar systems
6. Theory of Oscillations
7. Discontinuous bifurcations of periodic solutions
8. Existence of limit cycles in general planar piecewise linear systems of saddle–saddle dynamics
9. Qualitative Theory of Planar Differential Systems
10. Degenerate hopf bifurcations in discontinuous planar systems

Their papers

• Multiplicity of invariant algebraic curves in polynomial vector fields (2007) — 256 citations
• Darboux theory of integrability in Cn taking into account the multiplicity (2009) — 153 citations
• Higher order averaging theory for finding periodic solutions via Brouwer degree (2014) — 161 citations
• Limit cycles for discontinuous planar piecewise linear differential systems separated by one straight line and having a center (2018) — 53 citations
• A new result on averaging theory for a class of discontinuous planar differential systems with applications (2017) — 53 citations
• Piecewise linear differential systems with only centers can create limit cycles? (2017) — 85 citations
• The pseudo-Hopf bifurcation for planar discontinuous piecewise linear differential systems (2017) — 71 citations
• Averaging theory at any order for computing limit cycles of discontinuous piecewise differential systems with many zones (2016) — 58 citations
• Maximum number of limit cycles for certain piecewise linear dynamical systems (2015) — 120 citations
• Averaging theory for discontinuous piecewise differential systems (2015) — 155 citations
• Central Configurations, Periodic Orbits, and Hamiltonian Systems (2015) — 85 citations
• Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields (2014) — 51 citations
• On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line (2014) — 65 citations
• Limit cycles for discontinuous quadratic differential systems with two zones (2014) — 98 citations
• On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry (2013) — 115 citations
• Introduction to the Qualitative Theory of Differential Systems: Planar, Symmetric and Continuous Piecewise Linear Systems (2013) — 64 citations
• Averaging theory at any order for computing periodic orbits (2013) — 58 citations
• Uniqueness of limit cycles for Liénard differential equations of degree four (2012) — 90 citations
• On the birth of limit cycles for non-smooth dynamical systems (2012) — 137 citations
• THREE NESTED LIMIT CYCLES IN DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS WITH TWO ZONES (2012) — 163 citations