Quasi-synchronization dynamics of coupled and driven plasma oscillators

Analysis of vibrational resonance in bi-harmonically driven plasma

“…Fig. 4 shows a bifurcation diagram as a function of ε which was not reported in previous studies in plasma dynamics 35,38 . Here, a distinct sequence of bifurcation, including reversed perioddoubling bifurcations take place (Fig.…”

“…Here, we will focus on the strongly nonlinear dissipative magnetized plasma model 34,35 which describe plasma as consisting of electrons and ions constructed from a set of quasihydrodynamic equation and investigate the occurrence of VR when HF signal is imposed on the system. Despite the recent burst of research activities [36][37][38] and the importance of plasma in communication and human activities in general, the possibility of observing VR in dissipative plasma models driven by two periodic forces with its possible implications are yet to be explored. In this paper, we theoretically and numerically examine and analyze VR in a plasma model.…”

Acoustic vibrational resonance in a Rayleigh-Plesset bubble oscillator

“…It is conjectured that the system can also admit additional equilibrium solutions depending on the choice of truncation of the binomial expansion of in connection with higher-order nonlinear terms of the potential functions. Research shows that up-to-triple well solutions are possible in higher-order nonlinear systems in contrast with the familiar single and double equilibrium solutions reported earlier for lower-order potential functions [53] , [115] , [123] , [124] , [125] . Similarly, a flip-flop between hard-spring and soft-spring bistabilities due to higher-order truncation of the Toda oscillator was observed and analyzed by Goswami [126] while, earlier, a third-order approximation reduced the Toda oscillator model to the Heńon–Heiles (HH) Hamiltonian system which is non-integrable in contrast to the original integrable Toda Hamiltonian [127] , [128] , [129] .…”

Dynamics of the fractional‐order chaotic PMSG, its stabilisation using predictive control and circuit validation

“…[7]. Chaos can be encountered in numerous real life systems such as cancer and tumour cells [8], coronary artery of blood vessels [9], and utilised in industrial applications such as power transformer [10], plasma oscillators [11], etc. Though chaos has proved to be immensely useful in secure communications by means of synchronisation [12], there are cases, too, where chaos is unwanted and needs to be suppressed or controlled to prevent dysfunction; a problem studied in fractional dynamics of multivariable speed drive in this work.…”