periodic solutions in certain class of 3- dimension discontinuous autonomous systems

نویسندگان

m. karimi amaleh

hormozgan university z. afsharnezhad

ferdowsi university of mashhad

چکیده

in the present paper the linear oscillator in r3 with z =constanthas been considered. the aim is to determine the necessary conditions forthe persistence of periodic solutions under discontinuous perturbations. a newapproach based on a computational method has been used. at the end weapply our method on an example.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

PERIODIC SOLUTIONS IN CERTAIN CLASS OF 3- DIMENSION DISCONTINUOUS AUTONOMOUS SYSTEMS

In the present paper the linear oscillator in R3 with z =constanthas been considered. The aim is to determine the necessary conditions forthe persistence of periodic solutions under discontinuous perturbations. A newapproach based on a computational method has been used. At the end weapply our method on an example.

متن کامل

PERIODIC SOLUTIONS OF CERTAIN THREE DIMENSIONAL AUTONOMOUS SYSTEMS

There has been extensive work on the existence of periodic solutions for nonlinear second order autonomous differantial equations, but little work regarding the third order problems. The popular Poincare-Bendixon theorem applies well to the former but not the latter (see [2] and [3]). We give a necessary condition for the existence of periodic solutions for the third order autonomous system...

متن کامل

periodic solutions of certain three dimensional autonomous systems

there has been extensive work on the existence of periodic solutions for nonlinear second order autonomous differantial equations, but little work regarding the third order problems. the popular poincare-bendixon theorem applies well to the former but not the latter (see [2] and [3]). we give a necessary condition for the existence of periodic solutions for the third order autonomous systems, t...

متن کامل

MULTIPLE PERIODIC SOLUTIONS FOR A CLASS OF NON-AUTONOMOUS AND CONVEX HAMILTONIAN SYSTEMS

In this paper we study Multiple periodic solutions for a class of non-autonomous and convex Hamiltonian systems and we investigate use some properties of Ekeland index.  

متن کامل

Multiple Periodic Solutions for Autonomous Conservative Systems

We consider an autonomous conservative second order system defined by a potential which admits a connected set Γ of critical points at level zero. We prove the existence of multiple periodic solutions of large period which are located near Γ.

متن کامل

Bifurcation of Periodic and Chaotic Solutions in Discontinuous Systems

Chaos generated by the existence of Smale horseshoe is the well-known phenomenon in the theory of dynamical systems. The Poincaré-Andronov-Melnikov periodic and subharmonic bifurcations are also classical results in this theory. The purpose of this note is to extend those results to ordinary differential equations with multivalued perturbations. We present several examples based on our recent a...

متن کامل

منابع من

با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید


عنوان ژورنال:
journal of mahani mathematical research center

جلد ۱، شماره ۲، صفحات ۱۱۹-۱۳۶

میزبانی شده توسط پلتفرم ابری doprax.com

copyright © 2015-2023