Evolution of Explosively Unstable Systems
- 1 November 1972
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 6 (5), 1973-1977
- https://doi.org/10.1103/physreva.6.1973
Abstract
The present study concerns the evolution in time of explosively unstable systems under the influence of time-dependent dissipative and nonlinear coupling effects. Generalized criteria for instability as well as new mode solutions are constructed by introducing a suitable transformation in time.Keywords
This publication has 8 references indexed in Scilit:
- On the Explosive Instabilities in the Presence of Linear Damping or GrowthPhysica Scripta, 1970
- Explosive Instabilities in the Well-Defined Phase DescriptionJournal of Mathematical Physics, 1970
- Phase-locking of Coupled Modes in Nonlinearly Unstable PlasmasPhysica Scripta, 1970
- Nonlinear interactions of positive and negative energy modes in rarefied plasmas (I)Annals of Physics, 1969
- Stabilization of nonlinear instabilities by means of dissipationPhysics Letters A, 1969
- Effect of dissipation on nonlinear interactionPhysics Letters A, 1969
- Phase Effects in the Nonlinear Interaction of “Negative”-Energy WavesZeitschrift für Naturforschung A, 1969
- Explosive and Nonexplosive Onsets of InstabilityPhysical Review Letters, 1966