The coexistence of quasi-periodic and blow-up solutions in a class of Hamiltonian systems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:388

Article

Wang, Zhiguo¹  Wang, Yiqian²  Lu, Hui³ 

[1] Soochow Univ, Sch Math Sci, Suzhou 215006, Peoples R China

[2] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

[3] Nanjing Audit Univ, Dept Math, Nanjing 210029, Jiangsu, Peoples R China

关键词: Small twist theorem;    Canonical transformation;    Quasi-periodic solutions;    Hamiltonian system;    Blow up;   

DOI  :  10.1016/j.jmaa.2011.10.029

来源: Elsevier

【 摘 要 】

The coexistence of quasi-periodic solutions and blow-up phenomena in a class of higher dimensional Duffing-type equations is proved in this paper. Moreover, we show that the initial point sets for both kinds of solutions are of infinite Lebesgue measure in the phase space. For the part of quasi-periodic solutions, the tool we used is the small twist theorem for higher dimensional cases. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

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