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Faculty

Chongqing Cheng Professor

Bio: 

Educational Background

Doctor for Engineering, Northwestern Polytechnical University (1988)

Master for Engineering, Nanjing Institute of Technology (1984)

Bachelor for Science, Nanjing Institute of Technology (1982)

 

Research Interests

Dynamical Systems

 

Selected Publications

  1. Cheng C.-Q. & Zhou M., C1-continuation of periodic orbits from homoclinics, Pacific J. Math. 317 (1) (2022) 67-118.
  2. Cheng C.-Q. & Zhou M., Residues of destructed resonant torus, J. Dynamics and Differential Equations 33 (3) (2021) 1515-1530.
  3. Cheng C.-Q. & Xue J., Variational approach to Arnold diffusion, Science China Math.62 (2019) 2103-2130.
  4. Cheng C.-Q. The genericity of Arnold diffusion in nearly integrable Hamiltonian systems, Asian J. Math. 23 (3) (2019) 401-438.
  5. Cheng C.-Q. & Xue J., Order property and Modulus of Continuity of Weak KAM Solutions, Calc. Var. PDEs 57 (2018) Paper No. 65, 27 pp.
  6. Cheng C.-Q. Dynamics around the double resonance, Cambridge J. Mathematics, 5(2) (2017) 153-228.
  7. Cheng C.-Q., Uniform hyperbolicity of invariant cylinder, J. Diff. Geometry 106 (2017) 1-43.
  8. Cheng C.-Q. & Zhou M., Global normally hyperbolic invariant cylinders in Lagrangian systems, Math. Res. Letter. 23 (3) (2016) 685-705
  9. Cheng C.-Q. & Wang L., Destruction of Lagrangian torus for positive definite Hamiltonian systems, GAFA (Geometric and Functional Analysis) 23 (2013) 848-866
  10. Cheng C.Q., Non-existence of KAM torus, Acta Math. Sinica, English Series, 27 (2011) 397-404.
  11. Cheng C.Q., Variational construction of diffusion orbits for positive definite Lagrangians, Proceedings of International Congress of Mathematicians Hindu- stan Book Agency, 3 (2010) 1714-1728.
  12. Cheng C.Q. & Li X., Variational construction of unbounded orbits in Lagrangian systems, Science China: Mathematics 53 (3) (2010) 617-624.
  13. Cheng C.Q. & Yan J., Arnold diffusion in Hamiltonian Systems: a priori unstable case, J. Differential Geometry, 82 (2009) 229-277.
  14. Cheng C.Q., Minimal invariant tori in the resonant regions of nearly integrable Hamiltonian systems, Transactions of American Mathematical Society 357（12） (2005) 5067-5095.
  15. Cheng C.Q. & Yan J., Existence of diffusion orbits in a priori unstable Hamiltonian systems, J. Differential Geometry, 67 (2004) 457-517.
  16. Cheng C.Q., Lower dimensional invariant tori in the regions of instability for nearly integrable Hamiltonian systems, Commun. Math. Phys. 203 (1999) 385-419.
  17. Cheng C.Q. & Wang S.L., The surviving of lower dimensional tori from resonance torus of Hamiltonian systems, J. Diff. Eqns. 155 (1999) 311-326.
  18. Cheng C.Q., Birkhoff-Kolmogorov-Arnold-Moser tori in convex Hamiltonian systems, Commun. Math. Phys. 177 (1996) 529-559.
  19. Cheng C.Q. & Sun Y.S., Existence of KAM tori in degenerate Hamiltonian systems, J. Diff. Eqns. 114 (1994) 288-335.
  20. Cheng C.Q., Metamorphoses of phase portrait of vector fields in the case of symmetry of order 4, J. Diff. Eqns. 95 (1992) 130-139.
  21. Cheng C.Q., & Sun Y.S., Existence of invariant tori in three dimensional measure-preserving mappings, Celestial Mechanics and Dynamical Astronomy 45 (1990) 275-292.
  22. Cheng C.Q., & Sun Y.S., Existence of periodically invariant curves in three dimensional measure-preserving mappings, Celestial Mechanics and Dynamical Astronomy 47 (1990) 293-303.

 

Honors and Awards

National Outstanding Young Investigate Awards for Science (1995)

Qiu-shi Price for young mathematician (1997)

Silver Morningside Medal (1998)

National Second Price for Science (2001)

Invited talk, International Congress of Mathematicians (2010)

 

Contact

Tel：+86-025-83595997

E-mail:chengcq@nju.edu.cn