Qiudong Wang

Professor

Department of Mathematics, The University of Arizona.

Education:

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

    • Selected List of Papers

  • Non-dominance of the Melnikov Function: an Example
    Preprint (2021) [pdf file]
  • (With Ali Oksasoglu) High Order Melnikov Method: Pendulums
    Preprint (2021) [pdf file]
  • Exponentially Small Splitting: A Direct Approach
    JDE Vol. 269(1) (2020) 954-1036 [pdf file]
  • (With Fengjuan Chen) High Order Melnikov Method: Theory and Application
    JDE Vol. 267(2) (2019), 1095-1128 [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 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) 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]
  • (With L.-S. Young) Strange Attractors with One Direction of Instability
    Commun. Math. Physics 218(2001)1, 1-97 [pdf 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

    • Expositories:

  • On the Homoclinic Tangles of Henry Poincare
    Preprint (2018) [preprint ]
  • 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]
  • Power Series Solutions and Integral Manifold of the N-body Problem
    Reg. Chaot. Dyn. 6(4)(2001), 433-442 [pdf file | ps file ]

    • Full List of Papers and Publications by Subject:

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

    • Teaching:

    Math 454 Section 001, Spring 2020.
  • General Information For Math 454 Section 001
  • Homework Assignment

    • Lecture Notes:

  • Lecture Notes on Dynamical Systems Click Here
  • Lecture Notes on Homoclinic Tangles Click Here
  • Lecture Notes on Rankone Chaos Click Here
  • Talk on High Order Melnikov Method Click Here
  • Talk on Homoclinic Tangles Click Here

    • Miscellaneous

  • Consumption Oriented Free Capitalism [An Article on Sociology and Economics (incomplete)]
  • On the intrinsics of individual human activity [An Article on Philosophy]
  • A time pussy theory of capitalist economy [An Article on Economics]
  • The trend of global capitalism [An Article on International Relations]
  • Notes on Communist Manifesto [Comments on Marxism]
  • Notes on The General Theory of Employment, Interest and Money [Comments on Kenyes's Theory]
  • (In Chinese) Article in Chinese number one [Article in Chinese number one]
  • (In Chinese) Article in Chinese number two [Article in Chinese number two]
  • (In Chinese) Article in Chinese number three [Article in Chinese number three]
  • (In Chinese) Poem in Chinese, number 1 [A poem in Chinese]
  • (In Chinese) Poem in Chinese, number 2 [A poem in Chinese]
  • (In Chinese) Poem in Chinese, number 3 [A poem in Chinese]
  • (In Chinese) A piece of Greek myth (translated) [Article in Chinese]

    • Essays Written by Amanda Wang

  • It Never Stops Flowing [A Short Novel]
  • On the Temporary State of Human Existence [Comments on a Classical Painting]
  • Justify Your Shopping Addiction [An Essay on Politics and Economics]
  • Osama Bin Laden Dead [Rhetoric Analysis on one Obama Speech]