Qiudong Wang
Professor
Education:
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- Ph.D., University of Cincinnati, 1994.
- B.S., Nanjing University, China, 1982.
Selected List of Papers
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- Non-dominance of the Melnikov Function: an Example
- Preprint (2021)
[pdf file]
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- (With Ali Oksasoglu) High Order Melnikov Method: Pendulums
- Preprint (2021)
[pdf file]
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- Exponentially Small Splitting: A Direct Approach
- JDE Vol. 269(1) (2020) 954-1036
[pdf file]
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- (With Fengjuan Chen) High Order Melnikov Method: Theory and Application
- JDE Vol. 267(2) (2019), 1095-1128
[pdf file]
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- (With K. Lu and L.-S. Young) Strange attractors for periodically forced parabolic equations
- AMS Memoirs Vol. 224, no. 1054 (2013)
[pdf file]
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- (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]
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- (With Ali Oksasoglu) Dynamics of Homoclinic Tangles in Periodically Perturbed Second Order Equations
- JDE 250(2011) 710-751
[pdf file]
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- (With Kening Lu) Chaotic Behavior in Differential Equations
Driven by a Nonautonomous Force
- Nonlinearity 23(2010), 2935-2975
[pdf file]
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- (With L.-S. Young) Toward a Theory of Rank One Attractors
- Annals. Math. 167 (2008), 349-480
[pdf file]
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- (With L.-S. Young) Strange Attractors with One Direction of Instability
- Commun. Math. Physics 218(2001)1, 1-97
[pdf file]
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- (with C. McCord and K.R.Meyer) The Integral Manifold of the Three-body
Problem
- AMS Memoirs Vol 132 no. 628 (1998)
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- The Global Solution of N-body Problem
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Celest. Mech. 50 (1991) p73-88
Expositories:
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- On the Homoclinic Tangles of Henry Poincare
- Preprint (2018)
[preprint ]
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- On the Theory of Chaotic Rank One Attractors
- Scholarpedia 6(10):9380 (2011)
[pdf file]
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- (With Ali Oksasoglu) Rank One Chaos: Theory and Applications
- Int. J. Bifurc. Chaos 18(5) (2008), 1261-1319
[pdf file]
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- 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:
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- 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:
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- Math 454 Section 001, Spring 2020.
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- General Information For Math 454 Section 001
- Homework Assignment
Lecture Notes:
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- 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
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- 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
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- 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]