Large-amplitude oscillations and chaos in a Hamiltonian plasma system with many degrees of freedom

Daniela Farina, Roberto Pozzoli

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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 languageEnglish
Pages (from-to)5 -
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume70
Issue number3
DOIs
Publication statusPublished - 2004
Externally publishedYes

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All Science Journal Classification (ASJC) codes

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

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