English

Higher Trigonometry: A Class Of Nonlinear Systems

Classical Analysis and ODEs 2019-07-12 v1

Abstract

We study the initial value problem 's=cp1,  c=sp1;    s(0)=0,  c(0)=1s\,' = c^{p - 1}, \; c\,' = -s^{p - 1}; \; \; s(0) = 0, \; c(0) = 1' (both as a real system and as a complex system) for each integer p>2p > 2, considering separately the cases 'pp even' and 'pp odd'.

Cite

@article{arxiv.1907.05240,
  title  = {Higher Trigonometry: A Class Of Nonlinear Systems},
  author = {P. L. Robinson},
  journal= {arXiv preprint arXiv:1907.05240},
  year   = {2019}
}
R2 v1 2026-06-23T10:18:33.921Z