21 research outputs found
Boundedness of Solutions for a Class of Second-Order Periodic Systems
Get PDFIn this paper we study the following second-order periodic system: xâ˛â˛+Vâ˛(x)+p(x,t)=0,
where V(x) has a singularity. Under some assumptions on the V(x) and p(x,t) by Ortegaâ small
twist theorem, we obtain the existence of quasi-periodic solutions and boundedness of all the
solutions
Expert consensus on spontaneous ventilation video-assisted thoracoscopic surgery in primary spontaneous pneumothorax (Guangzhou)
Get PDFSize- and morphology-dependent optical properties of ZnS:Al one-dimensional structures
Full text linkA KAM Theorem for Lower Dimensional Elliptic Invariant Tori of Nearly Integrable Symplectic Mappings This paper develops a new KAM theorem for a class of lower dimensional elliptic invariant tori of nearly integrable symplectic mappings with generating fu
No full textGevrey-smoothness of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings
No full textAbstract This paper provides a normal form for a class of lower dimensional hyperbolic invariant tori of nearly integrable symplectic mappings with generating functions. We prove the persistence and the Gevrey-smoothness of the invariant tori under some conditions
A KAM Theorem for Lower Dimensional Elliptic Invariant Tori of Nearly Integrable Symplectic Mappings
No full textThis paper develops a new KAM theorem for a class of lower dimensional elliptic invariant tori of nearly integrable symplectic mappings with generating functions but without assuming any nondegenerate condition
Lagrangian Stability of a Class of Second-Order Periodic Systems
No full textWe study the following second-order periodic system: xâ˛â˛+Vâ˛(x)+p(t)=0 where V(x) has a singularity and p(t)=p(t+1). Under some assumptions on the V(x) and p(t), by Moser's twist theorem we obtain the existence of quasiperiodic solutions and boundedness of all the solutions
