arXiv Open Access 2018

Nonlinear resonances in the $ABC$-flow

A. A. Didov M. Yu. Uleysky

Lihat Sumber

Abstrak

In this paper we study resonances of the $ABC$-flow in the near integrable case ($C\ll 1$). This is an interesting example of a Hamiltonian system with 3/2 degrees of freedom in which simultaneous existence of two resonances of the same order is possible. Analytical conditions of the resonance existence are received. It is shown numerically that the largest $n:1$ ($n=1,2,3$) resonances exist, and their energies are equal to theoretical energies in the near integrable case. We provide analytical and numerical evidences for existence of two branches of the two largest $n:1$ ($n=1,2$) resonances in the region of finite motion.

Topik & Kata Kunci

physics.flu-dyn

Penulis (2)

A. A. Didov

M. Yu. Uleysky

Format Sitasi

APA MLA BibTeX

Didov, A.A., Uleysky, M.Y. (2018). Nonlinear resonances in the $ABC$-flow. https://arxiv.org/abs/1802.00557

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2018
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓