Femtosecond filamentation in media with competing quadratic and cubic nonlinearities

2021 ◽  
Author(s):  
◽  
Rosvaldas Šuminas
Keyword(s):  
Femtosecond Filamentation ◽  
Quadratic And Cubic Nonlinearities

Femtosecond filamentation in chalcogenide glasses limited by two-photon absorption

2010 ◽  
Vol 32 (11) ◽  
pp. 1553-1557 ◽  
Author(s):  
Ivan Blonskyi ◽  
Viktor Kadan ◽  
Oleh Shpotyuk ◽  
Mihail Iovu ◽  
Ihor Pavlov
Keyword(s):  
Chalcogenide Glasses ◽  
Photon Absorption ◽  
Two Photon Absorption ◽  
Two Photon ◽  
Femtosecond Filamentation

scholarly journals Spectroscopic Sensing of O2–C2H2–C2H4 Flames for Diamond Growth Using Femtosecond Filamentation

2017 ◽  
Vol 17 (6) ◽  
pp. 3443-3449
Author(s):  
Yun Shen Zhou ◽  
Meng Meng Wang ◽  
Yao Lu ◽  
Jean François Silvain ◽  
Yong Feng Lu
Keyword(s):  
Diamond Growth ◽  
Femtosecond Filamentation

scholarly journals Longitudinal bulk strain solitons in a hyperelastic rod with quadratic and Cubic nonlinearities

2020 ◽  
Vol 202 (3) ◽  
pp. 319-333
Author(s):  
F. E. Garbuzov ◽  
Y. M. Beltukov ◽  
K. R. Khusnutdinova
Keyword(s):  
Bulk Strain ◽  
Quadratic And Cubic Nonlinearities

scholarly journals Nonlinear Vibrations of a Rotor-Active Magnetic Bearing System with 16-Pole Legs and Two Degrees of Freedom

2020 ◽  
Vol 2020 ◽  
pp. 1-29 ◽  
Author(s):  
W. Zhang ◽  
R. Q. Wu ◽  
B. Siriguleng
Keyword(s):  
Perturbation Method ◽  
Electromagnetic Force ◽  
Nonlinear Vibrations ◽  
Magnetic Bearing ◽  
Active Magnetic Bearing ◽  
Time Varying ◽  
Asymptotic Perturbation Method ◽  
Amb System ◽  
Asymptotic Perturbation ◽  
Quadratic And Cubic Nonlinearities

The asymptotic perturbation method is used to analyze the nonlinear vibrations and chaotic dynamics of a rotor-active magnetic bearing (AMB) system with 16-pole legs and the time-varying stiffness. Based on the expressions of the electromagnetic force resultants, the influences of some parameters, such as the cross-sectional area Aα of one electromagnet and the number N of windings in each electromagnet coil, on the electromagnetic force resultants are considered for the rotor-AMB system with 16-pole legs. Based on the Newton law, the governing equation of motion for the rotor-AMB system with 16-pole legs is obtained and expressed as a two-degree-of-freedom system with the parametric excitation and the quadratic and cubic nonlinearities. According to the asymptotic perturbation method, the four-dimensional averaged equation of the rotor-AMB system is derived under the case of 1 : 1 internal resonance and 1 : 2 subharmonic resonances. Then, the frequency-response curves are employed to study the steady-state solutions of the modal amplitudes. From the analysis of the frequency responses, both the hardening-type nonlinearity and the softening-type nonlinearity are observed in the rotor-AMB system. Based on the numerical solutions of the averaged equation, the changed procedure of the nonlinear dynamic behaviors of the rotor-AMB system with the control parameter is described by the bifurcation diagram. From the numerical simulations, the periodic, quasiperiodic, and chaotic motions are observed in the rotor-active magnetic bearing (AMB) system with 16-pole legs, the time-varying stiffness, and the quadratic and cubic nonlinearities.

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