Nonlinear Dynamics of an Elastic Stop System and Its Application in a Rotor System by Jie Hong, Liming Jiang, Yongfeng Wang, Zhimin Su, Yanhong Ma

“…The stability of the periodic solution is analyzed by the Floquet theory, and the time history and frequency spectra of the unstable point are analyzed by the numerical integration method. …”
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Observation of the high-order Mollow triplet by quantum mode control with concatenated continuous driving by Wang, Guoqing, Liu, Yi-Xiang, Cappellaro, Paola

“…The experimental results are validated by Floquet theory, which enables the precise numerical simulation of the evolution and further provides an analytical form for an effective Hamiltonian that approximately predicts the spin dynamics beyond the rotating wave approximation.…”
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Temporal instability of a viscous liquid film on an oscillating plane in the presence of static electric field by Xiang-dong Deng, Ping Wang, Bao-lu Shi, Qing-fei Fu, Bo-qi Jia

“…The viscous potential theory and Floquet theory were adopted to obtain the dispersion equation. …”
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Analysis of Subharmonic Oscillation and Slope Compensation for a Differential Boost Inverter by Abdelali El Aroudi, Mohamed Al-Numay, Reham Haroun, Meng Huang

“…The analysis of its dynamics will be performed using an accurate approach based on discrete time models and Floquet theory and adopting a quasi-static approximation. …”
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Relativistic stability of positronium atoms in a linearly polarized high frequency super-intense laser field by Yifan Xing, Yuanling Huang, Fengyi Yuan, Xinye Xu, Jiaxiang Wang

“…Utilizing the relativistically corrected Krammers-Henneberger (KH) potential in the high frequency Floquet theory (HFFT), the ground state of the positronium (Ps) atom in a linearly polarized high frequency super-intense laser field is investigated numerically. …”
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On the role of tail in stability and energetic cost of bird flapping flight by Gianmarco Ducci, Gennaro Vitucci, Philippe Chatelain, Renaud Ronsse

“…A framework tailored for assessing limit cycles, namely Floquet theory, is used to numerically study flight stability. …”
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Analysis of subharmonic and quasi-periodic vibrations of a Jeffcott rotor supported on a squeeze-film damper by the IHB method by Kwangchol Ri, Junhyok Jang, Cholil Yun, Choljun Pak, Kwangchol Kim

“…The stability analysis of the calculated solutions is analyzed using Floquet theory. Using this theory, saddle-node, symmetry breaking, period-doubling, and secondary Hopf bifurcations are detected. …”
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Two dimensional Floquet topological states in a driven graphene lattice by Di Zhang, Xu-Jin Wang, Lu Zhang, Jie-Yun Yan

“…The time-independent effective Hamiltonian in the high-frequency approximation is obtained under the Floquet theory. The results show that the graphene lattice can be turned into a chiral symmetric protection architectures by a specially designed periodic driving, which thus fulfills a topological phase transition. …”
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Dark Type Dynamical Systems: The Integrability Algorithm and Applications by Yarema A. Prykarpatsky, Ilona Urbaniak, Radosław A. Kycia, Anatolij K. Prykarpatski

“…We described main spectral properties of nonlinear Lax type integrable dynamical systems on periodic functional manifolds particular within the classical Floquet theory, as well as we presented the determining functional relationships between the conserved quantities and related geometric Poisson and recursion structures on functional manifolds. …”
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The Instability and Response Studies of a Top-Tensioned Riser under Parametric Excitations Using the Differential Quadrature Method by Yang Zhang, Qiang Gui, Yuzheng Yang, Wei Li

“…Furthermore, the instability region of Mathieu equation is studied by both the DQM and the Floquet theory to verify the effectiveness of the DQM, and the solutions of both methods show good consistency. …”
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Free and Forced Wave Motion in a Two-Dimensional Plate with Radial Periodicity by Elisabetta Manconi, Sergey V. Sorokin, Rinaldo Garziera, Matheus Mikael Quartaroli

“…This is the paper’s aim, where a numerical method based on Floquet-theory and the FE discretision of a finite slice of the radial periodic structure is presented and verified. …”
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Dynamic complexity of a predator-prey model for IPM with nonlinear impulsive control incorporating a regulatory factor for predator releases by Yuan Tian, Sanyi Tang, Robert A. Cheke

“…The threshold condition for the existence and stability of the pest free periodic solution is provided using a cobweb model, the comparison principle and Floquet theory, which reveals the effects of nonlinear control actions on pest outbreaks. …”
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On the Spectra of One-Dimensional Schrödinger Operators With Singular Potentials by Vladimir S. Rabinovich, Víctor Barrera-Figueroa, Leticia Olivera Ramírez

“…For periodic potentials q0 we consider the Floquet theory of H, and apply the spectral parameter power series method for determining the band-gap structure of the spectrum. …”
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Engineering quantum states of fermionic many-body systems by Coulthard, J

“…This could provide a new mechanism for light-induced superconductivity in some classes of strongly cor- related materials. We show using Floquet theory that the dynamics of the driven Hubbard model are described precisely by the <em>t–J</em> model studied in the previous section. …”

Floquet stroboscopic divisibility in non-Markovian dynamics by Victor M Bastidas, Thi Ha Kyaw, Jirawat Tangpanitanon, Guillermo Romero, Leong-Chuan Kwek, Dimitris G Angelakis

“…We provide a general description of a time-local master equation for a system coupled to a non-Markovian reservoir based on Floquet theory. This allows us to have a divisible dynamical map at discrete times, which we refer to as Floquet stroboscopic divisibility . …”
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Investigation of the Processing Parameters Impact on the Flexural Tool Vibrations While Drilling by I. I. Ivanov, I. A. Kiselev, A. V. Koloskova

“…The system of delayed differential equations describing the reduced tool model dynamics was derived to estimate a dynamic stability of the drilling process. The Floquet theory is applied to build a stability diagram as a maximum multiplicator value versus a drill rotation rate. …”
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Dynamic Instability Analysis of Transverse Vibrations of Functionally Graded Rectangular Plates under Moving Masses by M. Ghomeshi Bozorg

“…In addition to using numerical simulations of the plate midpoint displacement, Floquet theory is also employed to validate the HAM results. …”
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Faraday waves in strongly interacting superfluids by Diego Hernández-Rajkov, José Eduardo Padilla-Castillo, Alejandra del Río-Lima, Andrés Gutiérrez-Valdés, Freddy Jackson Poveda-Cuevas, Jorge Amin Seman

“…Finally, we introduce a novel model based on Floquet theory that we employ to perform a stability analysis in the parameter space, showing the emergence of the Faraday waves as unstable solutions to a Mathieu-like equation.…”
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Nonlinear vibration analysis and stability analysis of rotor systems with multiple localized nonlinearities by Tongil Choe, Kwangchol Ri, Cholil Yun, Kumchol Kim, Kwangchol Kim

“…The stability analysis of the calculated solutions is carried out using the Floquet theory.…”
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A Novel Epidemic Model Base on Pulse Charging in Wireless Rechargeable Sensor Networks by Guiyun Liu, Xiaokai Su, Fenghuo Hong, Xiaojing Zhong, Zhongwei Liang, Xilai Wu, Ziyi Huang

“…This paper first analyzes the local stability of the SIALS-P model by Floquet theory. Then, a suitable comparison system is given by comparing theorem to analyze the stability of malware-free <i>T</i>-period solution and the persistence of malware transmission. …”
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