This paper describes a preliminary investigation into the use of normal form theory for modelling large non-linear dynamical systems. Limit cycle oscillations are determined for simple two-degree-of-freedom double pendulum systems. The double pendulum system is reduced into its centre manifold before computing normal forms. Normal forms are obtained using a period averaging method which is appl...

The Vishik's Normal Form provides a local smooth conjugation with linear vector field for fields near contacts manifold. In the present study, we focus on analytic case. Our main result ensures that and manifold, normal form is also analytic. As an application, investigate analyticity of Poincar\'e Half Maps defined locally between

One of t he many ways t he h i g h s p e e d computer i s u s e f u l t o l i n g u i s t i c r e s e a r c h e r s i s f o r t h e e v a l u a t i o n of g e n e r a t i v e grammars. S e v e r a l p r o ~ s ~ i n g sys t ems f o r t h i s purpose have been d e s c r i b e d i n the l i t e r a t u r e . 1 , 2 , 3 , ~ A t r a n s f o r m a t i o n a l g e n e r a t i v e grammar c o n s i s t ...

We examined the possible relationship between perception and production of /r–l/ by native Japanese speakers. Little evidence of a relationship between the cues used for perception and those for production was found for native Japanese and native English speakers. However, we found evidence of a shift from a reliance on conjunctive cues to single cues as listeners progressed from relatively naï...