Spatiotemporal Chaos Synchronization in Beam–Plasma Systems with Supercritical Current

Chaotic behavior and fractals discovered in the time evolution of discharge current at atmospheric pressure

“…For several decades, nonlinear phenomena such as chaos and fractals have attracted significant attention globally in all fields of science, and their concepts are considered common and beneficial according to the investigation of the structures caused by discharge phenomena. Many different varieties of experimental studies on nonlinear behaviors have been accomplished in plasmas produced by discharges, [1][2][3][4][5][6] observations of chaos, [7][8][9][10][11][12][13][14][15][16][17][18][19] control of chaos, [20][21][22] synchronization of coupled oscillators, [23][24][25][26][27][28] and calculations of fractal dimensions. [29][30][31][32][33][34][35] The properties concerning chaos and fractals can be characterized quantitatively, for example, from experimental data using the calculation of the Lyapunov exponent 36 and the correlation dimension, 37 respectively.…”

Dynamic characterization of coupled nonlinear oscillators caused by the instability of ionization waves

“…[12][13][14] In Popov's study, 12 a theoretical and numerical investigation concerning the synchronization in coupled beam-plasma systems was presented. In Ref.…”