Qiudong Wang

Professor

Department of Mathematics, The University of Arizona.

Education

  • Ph.D., University of Cincinnati, 1994.
  • B.S., Nanjing University, China, 1982.

    • Teaching, Spring 2024

  • Math 254 Section 3

    • Preprints

  • On the Homoclinic Tangles of Henry Poincare
    Preprint [pdf file]
  • Non-dominance of the Melnikov Function: An Example
    Preprint [pdf file]
  • The Restricted Three-Body Problem as a Perturbed Duffing Equation
    Preprint [pdf file]

    • Selected Publications

  • (With Ali Oksasoglu) High Order Melnikov Method: Pendulums
    JDE Vol. 312(1) (2022) 176-208 [pdf file]
  • Exponentially Small Splitting: A Direct Approach
    JDE Vol. 269(1) (2020), 954-1036 [pdf file]
  • (With K. Lu and L.-S. Young) Strange attractors for periodically forced parabolic equations
    AMS Memoirs Vol. 224, no. 1054 (2013) [pdf file]
  • (With Kening Lu) Chaotic Behavior in Differential Equations Driven by a Brownian Motion
    JDE 251(10) (2011), 2853-2895 [pdf file]
  • (With William Ott) Dissipative Homoclinic Loops of Two-Dimensional Maps and Strange Attractors with One Direction of Instability
    CPAM 64(11) (2011) 1439-1496 [pdf file]
  • (With Ali Oksasoglu) Strange Attractors and their Periodic Repetition
    Chaos 21, 012128 (2011) [pdf file]
  • (With Ali Oksasoglu) Dynamics of Homoclinic Tangles in Periodically Perturbed Second Order Equations
    JDE 250(2011) 710-751 [pdf file]
  • (With Kening Lu) Chaotic Behavior in Differential Equations Driven by a Nonautonomous Force
    Nonlinearity 23(2010), 2935-2975 [pdf file]
  • (With L.-S. Young) Toward a Theory of Rank One Attractors
    Annals. Math. 167 (2008), 349-480 [pdf file | ps file]
  • (With L.-S. Young) Strange Attractors with One Direction of Instability
    Commun. Math. Physics 218(2001)1, 1-97 [pdf file | ps file]
  • (With C. McCord and K.R.Meyer) The Integral Manifold of the Three-body Problem
    AMS Memoirs Vol 132 no. 628 (1998)
  • The Global Solution of N-body Problem
    Celest. Mech. 50 (1991) p73-88

    • Full List of Papers and Publications by Subject

  • High Order Melnikov Method Click Here
  • Homoclinic Tangles Click Here
  • Rankone Attractors Click Here
  • Circuit Systems Click Here
  • The N-body Problem Click Here
  • Twist Maps Click Here

    • Expositories

  • On the Homoclinic Tangles of Henry Poincare
    Preprint [pdf file]
  • On the Theory of Chaotic Rank One Attractors
    Scholarpedia 6(10):9380 (2011) [pdf file]
  • (With Ali Oksasoglu) Rank One Chaos: Theory and Applications
    Int. J. Bifurc. Chaos 18(5) (2008), 1261-1319 [pdf file| ps file]
  • Power Series Solutions and Integral Manifold of the n-body Problem
    Reg. Chaot. Dyn. 6(4)(2001), 433-442 [pdf file | ps file ]

    • Lecture Notes

  • Lecture Notes on Dynamical Systems
  • Lecture Notes on Homoclinic Tangle
  • Lecture Notes on Rankone Chaos
  • Talk on High Order Melnikov Method
  • Talk on the Restricted Three-Tody Problem

    • Miscellaneous (In Chinese)

  • My Story with Yinghui [In Commemoration of Yinghui]
  • Short Article number 1 [Click Here]
  • Short Article number 2 [Click Here]
  • Short Article number 3 [Click Here]
  • Short Article number 4 [Click Here]
  • Short Article number 5 [Click Here]
  • Short Article number 6 [Click Here]

  • Poem number 1 [Click Here]
  • Poem number 2 [Click Here]
  • Poem number 3 [Click Here]
  • Poem number 4 [Click Here]
  • Poem number 5 [Click Here]