Mixed-Mode Oscillations in Complex Plasma Instabilities

Maxime Mikikian (1) , Marjorie Cavarroc (1) , Lénaïc Couëdel (1) , Yves Tessier (1) , Laifa Boufendi (1)

1 GREMI - Groupe de recherches sur l'énergétique des milieux ionisés

Instabilities in dusty plasmas are frequent phenomena. We show that some instabilities can be described by mixed-mode oscillations often encountered in chemical systems or neuronal dynamics and studied through dynamical system theories. The time evolution of these instabilities is studied through the change in the associated waveform. Frequency and interspike interval are analyzed and compared to results obtained in other scientific fields concerned by mixed-mode oscillations.

Mots clés: dusty plasma; complex plasma; dust particles; instabilities; void; mixed mode oscillation; MMO; Belousov Zhabotinskii; Hodgkin Huxley; interspike interval; devil's staircase; Farey; PKE

Domaines: Plasmas; Physique des plasmas [physics.plasm-ph]; Dynamique Chaotique [nlin.CD]

Maxime Mikikian, Marjorie Cavarroc, Lénaïc Couëdel, Yves Tessier, Laifa Boufendi. Mixed-Mode Oscillations in Complex Plasma Instabilities. Physical Review Letters, 2008, 100, pp.225005. ⟨10.1103/PhysRevLett.100.225005⟩. ⟨hal-00286650⟩