### 抜粋

The triple-degenerate derivative nonlinear Schrödinger (TDNLS) system modified with resistive wave damping and growth is truncated to study the coherent coupling of four waves, three Alfven and one acoustic, near resonance. In the conservative case, the truncation equations derive from a time independent Hamiltonian function with two degrees of freedom. Using a Poincare map analysis, two parameters regimes are explored. In the first regime we check how the modulational instability of the TDNLS system affects to the dynamics of the truncation model, while in the second one the exact triple degenerated case is discussed. In the dissipative case, the truncation model gives rise to a six dimensional flow with five free parameters. Computing some bifurcation diagrams the dependence with the sound to Alfven velocity ratio as well as the Alfven modes involved in the truncation is analyzed. The system exhibits a wealth of dynamics including chaotic attractor, several kinds of bifurcations, and crises. The truncation model was compared to numerical integrations of the TDNLS system.

元の言語 | 英語 |
---|---|

記事番号 | 042303 |

ジャーナル | Physics of Plasmas |

巻 | 16 |

発行部数 | 4 |

DOI | |

出版物ステータス | 出版済み - 1 1 2009 |

### フィンガープリント

### All Science Journal Classification (ASJC) codes

- Condensed Matter Physics

### これを引用

*Physics of Plasmas*,

*16*(4), [042303]. https://doi.org/10.1063/1.3093394