On Invariant Surfaces And Bifurcation of Periodic Solutions of Ordinary Differen
On Invariant Surfaces And Bifurcation of Periodic Solutions of Ordinary Differen
Robert John Sacker
The book On Invariant Surfaces And Bifurcation of Periodic Solutions of Ordinary Differen was written by author Robert John Sacker Here you can read free online of On Invariant Surfaces And Bifurcation of Periodic Solutions of Ordinary Differen book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is On Invariant Surfaces And Bifurcation of Periodic Solutions of Ordinary Differen a good or bad book?
What reading level is On Invariant Surfaces And Bifurcation of Periodic Solutions of Ordinary Differen book?
To quickly assess the difficulty of the text, read a short excerpt:
■ . We write this as w = a(M)w + e(n)|w|^w + Y«v(s, w, w, m) "♦■ Gif (3. 12) ' h7 - ■where v = a(s, u)v} + b(s, n)\j, a and b vectors. Con- sider the vector differential equation Y + [S'(^) •*■ {Ck-l)a(n) + -ta(^)}I]Y = hCsj^) where prime denotes transpose, I is the identity matrix and h is periodic in s. For n sufficiently small this equation has a unique periodic solution yCs, ^) and the transformation w = C •*■ Y • YCs, ^)C^C'^ (3. 13) carries (3. 12) Into C = aCu)C + pCn)|C|'C + Y • Cv(s, c..., C, m) - hCs, u)c^c^] + Gi, applying this for k = 1, t = 0> h = a(s, ia) and k = 0, -t, = 1, h = t)(s, ij) we obtain the form After carrying out the above transformations on the second equation of (3. 5') we write that equation as Y = S(ia)Y + v(s, C, C»^) + H3 (3. 1^) where v = riCs, n)c^ + ^'zQQ + ^'^V' ^o^ M sufficiently small the vector differential equation Y + CikaCn) + ^, a(^)3I - S(h)]y = h(s, |a) with h periodic in s, has a unique periodic solution yCsj^j. ) and the transformation ^-.
You can download books for free in various formats, such as epub, pdf, azw, mobi, txt and others on book networks site. Additionally, the entire text is available for online reading through our e-reader. Our site is not responsible for the performance of third-party products (sites).
User Reviews: