Zhihong Xia

  • 573 Citations
1989 …2018
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Personal profile

Research Interests

Newtonian n-body problem, Hamiltonian dynamics and general hyperbolic and partially hyperbolic dynamical systems.

Education/Academic qualification

Mathematics, PhD, Northwestern University

… → 1988

Astronomy, BS, Nanjing University, China

… → 1982

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  • 4 Similar Profiles
Periodic Points Mathematics
Diffeomorphisms Mathematics
Generic Property Mathematics
Homoclinic Point Mathematics
N-body Problem Mathematics
Partial Hyperbolicity Mathematics
Stable and Unstable Manifolds Mathematics
Bifurcation Mathematics

Network Recent external collaboration on country level. Dive into details by clicking on the dots.

Grants 2004 2012

Research Output 1989 2018

  • 573 Citations
  • 35 Article
  • 4 Chapter
  • 2 Conference contribution
1 Citation (Scopus)

Conley-Zehnder index and bifurcation of fixed points of Hamiltonian maps

Deng, Y. & Xia, Z., Sep 1 2018, In : Ergodic Theory and Dynamical Systems. 38, 6, p. 2086-2107 22 p.

Research output: Contribution to journalArticle

Hamiltonians
Bifurcation (mathematics)
Bifurcation
Fixed point
Nondegeneracy

Homoclinic intersections for geodesic flows on convex spheres

Xia, Z. & Zhang, P., Jan 1 2017, Contemporary Mathematics. American Mathematical Society, p. 221-238 18 p. (Contemporary Mathematics; vol. 698).

Research output: Chapter in Book/Report/Conference proceedingChapter

Generic Property
Closed Geodesics
Geodesic Flow
Homoclinic
Transverse

Minimal measures for Euler-Lagrange flows on finite covering spaces

Wang, F. & Xia, Z., Oct 14 2016, In : Nonlinearity. 29, 12, p. 3625-3646 22 p.

Research output: Contribution to journalArticle

Covering Space
Lagrange
Euler
coverings
Fundamental Group
4 Citations (Scopus)

Homoclinic points for convex billiards

Xia, Z. & Zhang, P., Jan 1 2014, In : Nonlinearity. 27, 6, p. 1181-1192 12 p.

Research output: Contribution to journalArticle

Homoclinic Point
Generic Property
Homoclinic Orbit
Periodic Points
Billiards
3 Citations (Scopus)

Stability of Elliptic Periodic Points with an Application to Lagrangian Equilibrium Solutions

Hua, Y. & Xia, Z., Apr 15 2013, In : Qualitative Theory of Dynamical Systems. 12, 1, p. 243-253 11 p.

Research output: Contribution to journalArticle

Equilibrium Solution
Nonlinear Stability
Periodic Points
Degree of freedom
Linear Stability