Cubic Perturbations of Symmetric elliptic Hamiltonians of degree four in a Complex domain
Abstract
We consider arbitrary one-parameter cubic deformations of the Duffing oscillator x"=x-x3. In the case when the first Melnikov function M1 vanishes, but M2≠ 0 we compute the general form of M2 and study its zeros in a suitable complex domain.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.