### Abstract

Taking the beam-plasma system as a reference Hamiltonian system with many degrees of freedom, the connection between the development of large amplitude oscillations and stochasticity of the system (measured through the time-dependent maximum Lyapunov exponent) is investigated. It is found that the development of self-consistent large amplitude oscillations occurs in correspondence with the onset of chaos, and is related to a well defined change of topology of the phase space of the system. It is also shown that in a (Hamiltonian) linearly stable regime the development of large amplitude oscillations can occur when weakly dissipative processes are introduced. © 2004 The American Physical Society.

Original language | English |
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Pages (from-to) | 5 - |

Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

Volume | 70 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2004 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics