Hamiltonian dynamical system and KAM theory, weakly-coupled chaotic dynamical system, Ergodic Schrodinger operators and KdV equations

Xiumei Xing, Jun Wang and Yiqian Wang, Boundedness of semilinear Duffing equations at resonance in a critical situation (2018), to appear in J. Differential equations. 

Yiqian Wang and Jiangong You, The set of smooth quasi-periodic Schrödinger cocycles with positive Lyapunov exponent is not open, Commun. Math. Phys. 362(2018),  801–826.

Yiqian Wang and Zhenghe Zhang, Cantor Spectrum for a Class of C² Quasiperiodic Schrödinger Operators, International Mathematics Research Notices, 8(2017), 2300–2336.

A new method for the boundedness of semilinear Duffing equations at resonance, Discrete and continuous dynamical systems, 36(7)(2016), 3961–3991.

Yiqian Wang and Zhenghe Zhang, Uniform Positivity and Continuity of Lyapunov Exponents for a Class of $C^2$ Quasiperiodic Schrödinger Cocycles, Journal of Functional Analysis, 268(9) (2015), 2525-2585 .

Yiqian Wang and Jiangong You, Examples of Discontinuity of Lyapunov Exponent in Smooth Quasi-Periodic Cocycles, Duke Mathematical Journal 162(2013), 2363-2412 .

 Lei Jiao, Daxiong Piao and Yiqian Wang, Boundedness for the general semilinear Duffing equations via the twist theorem，J. Differential equations, 252(2012), 91-113.

Zhiguo Wang, Yiqian Wang and Hui Lu, The coexistence of quasi-periodic and blow-up solutions in a class of Hamiltonian systems, J. Math. Anal. Appl. 388 (2012) , 888–898

Xiumei Xing and Yiqian Wang, Boundedness for seimilinear Duffing equatioins at resonance, Taiwanese Journal of Mathematics, 16(5)(2012), 1923-1949.

Yun Chao Wu and Yi Qian Wang, The stability of the elliptic equilibrium of planar quasi-periodic Hamiltonian systems, Acta Mathematica Sinica( English Series) , 28(4) (2012), 801-816,   

Wen-Wei Lin and Yiqian Wang, Proof of synchronized chaotic behaviors in coupled map lattices, International Journal of Bifurcation and Chaos, 21(5) (2011), 1–8.

Zhiguo Wang, Yiqian Wang, Existence of quasiperiodic solutions and Littlewood’s boundedness problem of super-linear impact oscillators，Applied Mathematics and Computation 217 (2011),  6417-6425.

Huiping Jin, Bin Liu and Yiqian Wang, The existence of quasiperiodic solutions for coupled Duffing-type equations Journal of Mathematical Analysis and Applications  374(2)(2011), 429-441.

Zhi Guo Wang and Yi Qian Wang, Boundedness of solutions for a class of oscillating potentials without the twist condition  Acta Mathematica Sinica  26(12)(2010), 2387-2398.