Xiang Zhang

Geometry and Topology · with Llibre · 2002–2019

A researcher in the Science corpus: 15 papers; trusts 25 researchers and is trusted by 6 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 58 citations into it; #2,754 of 7,422 by trust here, #2,832 by citations
• Statistical and Nonlinear Physics — 44 citations into it; #3,137 of 10,127 by trust here, #4,820 by citations
• Computational Theory and Mathematics — 9 citations into it; #5,753 of 12,182 by trust here, #9,306 by citations
• Applied Mathematics — 8 citations into it; #6,463 of 7,620 by trust here, #7,414 by citations
• Astronomy and Astrophysics — 8 citations into it
• Numerical Analysis — 8 citations into it
• Computer Networks and Communications — 6 citations into it
• Control and Systems Engineering — 6 citations into it

Whom Xiang Zhang trusts overall

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

1. Jaume Llibre
2. Sebastian Walcher
3. Nguyen Tien Zung
4. Paweł Wilczyński
5. Freddy Dumortier
6. Colin Christopher
7. Héctor Giacomini
8. Songmei Huan
9. Jaume Giné Mesa
10. Emilio Freire

Who trusts Xiang Zhang overall

1. Jaume Llibre
2. Isaac A. García
3. Kit Ian Kou
4. Cláudia Valls
5. Maite Grau

Papers from Xiang Zhang's perspective

Ordered by how strongly the researchers Xiang Zhang 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. Degenerate hopf bifurcations in discontinuous planar systems
3. On the number of limit cycles in general planar piecewise linear systems of node–node types ☆
4. Existence of limit cycles in general planar piecewise linear systems of saddle–saddle dynamics
5. Qualitative Theory of Planar Differential Systems
6. Theory of Oscillations
7. Darboux integrability and the inverse integrating factor
8. Multiplicity of invariant algebraic curves in polynomial vector fields
9. Limit cycles in a family of discontinuous piecewise linear differential systems with two zones in the plane
10. Some examples for the Poincaré and Painlevé problems

Their papers

• Darboux theory of integrability in Cn taking into account the multiplicity (2009) — 153 citations
• Canards, heteroclinic and homoclinic orbits for a slow-fast predator-prey model of generalized Holling type III (2019) — 83 citations
• Bifurcation theory for finitely smooth planar autonomous differential systems (2018) — 80 citations
• Limit cycles for discontinuous planar piecewise linear differential systems separated by one straight line and having a center (2018) — 53 citations
• Integrability of Dynamical Systems: Algebra and Analysis (2017) — 105 citations
• Equivalence of the Melnikov Function Method and the Averaging Method (2016) — 62 citations
• Global Structure of Quaternion Polynomial Differential Equations (2014) — 50 citations
• Bifurcation of limit cycles from generalized homoclinic loops in planar piecewise smooth systems (2013) — 56 citations
• On the Darboux Integrability of Polynomial Differential Systems (2012) — 69 citations
• Rational first integrals in the Darboux theory of integrability in C^n (2010) — 69 citations
• Darboux theory of integrability for polynomial vector fields in R^n taking into account the multiplicity at infinity (2009) — 95 citations
• Analytic normalization of analytic integrable systems and the embedding flows (2008) — 58 citations
• Local first integrals of differential systems and diffeomorphisms (2003) — 58 citations
• Polynomial first integrals for quasi-homogeneous polynomial differential systems (2002) — 67 citations
• Invariant algebraic surfaces of the Lorenz system (2002) — 98 citations