Mechanical analogy of the nonlinear dynamics of a driven unstable mode near marginal stability

Zaleśny, J.; Marczyński, S.; Lisak, M.; Anderson, D.; Gałkowski, A.; Berczyński, P.; Berczyński, S.; Rogowski, R.
February 2009
Physics of Plasmas;Feb2009, Vol. 16 Issue 2, pN.PAG
Academic Journal
The universal integrodifferential model equation derived by Berk et al. [Phys. Rev. Lett. 76, 1256 (1996)] for studying the nonlinear evolution of unstable modes driven by kinetic wave particle resonances near the instability threshold is reduced to a differential equation and next as a further simplification to a nonlinear oscillator equation. This mechanical analogy properly reproduces most of the essential physics of the system and allows an understanding of the qualitative features of the theory of Berk et al.


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