Zhihong Xia

  • 562 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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  • 3 Similar Profiles
Periodic Points Mathematics
Diffeomorphisms Mathematics
Generic Property Mathematics
Homoclinic Point Mathematics
Hamiltonians Engineering & Materials Science
N-body Problem Mathematics
Partial Hyperbolicity Mathematics
Orbits Engineering & Materials Science

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Grants 2004 2012

Research Output 1989 2018

  • 562 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