On the Algorithm for Constructing Periodic Solutions of A System of Ordinary Differential Equations not Reduced to The Characteristic form of Liapounov's System

Details On the Algorithm for Constructing Periodic Solutions of A System of Ordinary Differential Equations not Reduced to The Characteristic form of Liapounov's System On the Algorithm for Constructing Periodic Solutions of A System of Ordinary Differential Equations not Reduced to The Characteristic form of Liapounov's System

Oct 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974cemec..10..151s&link_type=abstract

Celestial Mechanics, Volume 10, Issue 2, pp.151-164

Physics

Scientific paper

As is known the famous Liapounov algorithm (Moiseev, 1969) has been elaborated by its ereator (Liapounov, 1950) for systems of ordinary differential equations of special form which is known as the ‘characteristic’ (Duboshin, 1952, 1964) or ‘canonical’ (Moiseev, 1969) form of Liapounov's system. This algorithm allows the construction of periodic solutions of such systems in the form of infinite series in powers of some arbitrary constant. In the present paper Duboshin's paraphrase (Duboshin, 1952, 1964) of Liapounov's algorithm in reference to systems of differential equations in normal form is discussed, inaccuracies contained therein are noted, and the procedure for calculation of coefficients of the series expansion of the solution period in powers of an arbitrary constant is more precisely defined.

Affiliated with

Also associated with

No associations

Rating

On the Algorithm for Constructing Periodic Solutions of A System of Ordinary Differential Equations not Reduced to The Characteristic form of Liapounov's System does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Algorithm for Constructing Periodic Solutions of A System of Ordinary Differential Equations not Reduced to The Characteristic form of Liapounov's System, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Algorithm for Constructing Periodic Solutions of A System of Ordinary Differential Equations not Reduced to The Characteristic form of Liapounov's System will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-792001