Chaotic dynamics in periodically forced asymmetric ordinary differential equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:352

Article

Pascoletti, Anna¹  Zanolin, Fabio¹ 

[1] Univ Udine, Dept Math & Comp Sci, I-33100 Udine, Italy

关键词: Nonlinear second order ODEs;    Lazer-McKenna suspension bridge model;    Asymmetric nonlinearities;    Periodic solutions;    Fucik spectrum;    Chaotic dynamics;    Time-maps;    Linked twist mappings;    Topological horseshoes;   

DOI  :  10.1016/j.jmaa.2008.11.049

来源: Elsevier

【 摘 要 】

Using a topological approach, we prove the existence of infinitely many periodic solutions and the presence of chaotic dynamics for the periodically forced second order ODE u '' + bu(+) - au(-) = p(t). The choice of the equation is motivated by the studies about the Dancer-Fucik spectrum and the Lazer-McKenna suspension bridge model. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free