Grants per year

## 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

## Fingerprint Dive into the research topics where Zhihong Xia is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

- 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

- 3 Finished

## Emphasis Year in Dynamic Systems at Northwestern University

Burns, K. H., Franks, J. M., Kra, B. R. & Xia, Z.

7/1/10 → 6/30/12

Project: Research project

## Research Output 1989 2018

2
Citations
(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 journal › Article

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 proceeding › Chapter

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 journal › Article

Covering Space

Lagrange

Euler

coverings

Fundamental Group

4
Citations
(Scopus)

## Homoclinic points for convex billiards

Xia, Z. & Zhang, P., Jun 2014, In : Nonlinearity. 27, 6, p. 1181-1192 12 p.Research output: Contribution to journal › Article

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 journal › Article

Equilibrium Solution

Nonlinear Stability

Periodic Points

Degree of freedom

Linear Stability