An e cient algorithm for locating and continuing connecting orbits

نویسنده

  • J. W. Demmel
چکیده

A successive continuation method for locating connecting orbits in parametrized systems of autonomous ODEs was considered in [9]. In this paper we present an improved algorithm for locating and continuing connecting orbits, which includes a new algorithm for the continuation of invariant subspaces based on iterative re nement techniques.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

An Eecient Algorithm for Locating and Continuing Connecting Orbits

A successive continuation method for locating connecting orbits in parametrized systems of autonomous ODEs was considered in 9]. In this paper we present an improved algorithm for locating and continuing connecting orbits, which includes a new algorithm for the continuation of invariant subspaces. The latter algorithm is of independent interest, and can be used in diierent contexts than the pre...

متن کامل

Computing Connecting Orbits via an Improved Algorithm for Continuing Invariant Subspaces

A successive continuation method for locating connecting orbits in parametrized systems of autonomous ODEs was considered in [10]. In this paper we present an improved algorithm for locating and continuing connecting orbits, which includes a new algorithm for the continuation of invariant subspaces. The latter algorithm is of independent interest, and can be used in different contexts than the ...

متن کامل

Point-to-periodic and Periodic-to-periodic Connections

In this work we consider computing and continuing connecting orbits in parameter dependent dynamical systems. We give details of algorithms for computing connections between equilibria and periodic orbits, and between periodic orbits. The theoretical foundation for these techniques is given by the seminal work of Beyn [5] where a numerical technique is also proposed. Our algorithms consist of s...

متن کامل

Locating unstable periodic orbits: when adaptation integrates into delayed feedback control.

Finding unstable periodic orbits (UPOs) is always a challenging demand in biophysics and computational biology, which needs efficient algorithms. To meet this need, an approach to locating unstable periodic orbits in chaotic dynamical system is presented. The uniqueness of the approach lies in the introduction of adaptive rules for both feedback gain and time delay in the system without requiri...

متن کامل

Stochastic Optimization for Detecting Periodic Orbits of Nonlinear Mappings

The detection of periodic orbits bears signi cance for the study of nonlinear mappings, since they can reveal crucial information on their dynamics. Recently, population based stochastic optimization algorithms were introduced to address problems where traditional gradient based approaches failed. The e ciency of these approaches in applications, triggered further research towards the developme...

متن کامل

ذخیره در منابع من


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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1997