Deriving amplitude equations for weakly-nonlinear oscillators and their generalizations

Statistics – Computation

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

4

Amplitude Equations, Averaging, Multiple Scales, Singular Perturbations

Scientific paper

Results by physicists on renormalization group techniques have recently sparked interest in the singular perturbations community of applied mathematicians. The survey paper, [Phys. Rev. E 54(1) (1996) 376-394], by Chen et al. demonstrated that many problems which applied mathematicians solve using disparate methods can be solved using a single approach. Analysis of that renormalization group method by Mudavanhu and O'Malley [Stud. Appl. Math. 107(1) (2001) 63-79; SIAM J. Appl. Math. 63(2) (2002) 373-397], among others, indicates that the technique can be streamlined. This paper carries that analysis several steps further to present an amplitude equation technique which is both well adapted for use with a computer algebra system and easy to relate to the classical methods of averaging and multiple scales.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Deriving amplitude equations for weakly-nonlinear oscillators and their generalizations 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 Deriving amplitude equations for weakly-nonlinear oscillators and their generalizations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Deriving amplitude equations for weakly-nonlinear oscillators and their generalizations will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-1063451

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.