Article
Engineering, Electrical & Electronic
Hongkun Li, Yiyang Shu, Changting Pi, Xun Luo
Summary: This paper proposes a dual-mode rotary traveling-wave oscillator that achieves wide operation bandwidth and multiple phases by coupling two twisted differential transmission lines to form a dual-mode traveling-wave resonator. The performance of the proposed oscillator is verified in experiments, and it exhibits good frequency deviation and phase noise levels.
IEEE MICROWAVE AND WIRELESS COMPONENTS LETTERS
(2022)
Article
Engineering, Electrical & Electronic
Zehui Kang, Meng Yang, Liang Wu
Summary: This paper presents an LC-based segmented elementary circuit (SEC) model for oscillator analysis and proposes an extrinsic-Q-enhanced (EQE) transmission line. A 16-phase quasi-rotary traveling-wave oscillator (QRTWO) with the EQE transmission line is designed and implemented in a 65nm CMOS process, showing a wide frequency tuning range and low phase noise.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2023)
Article
Engineering, Mechanical
Koichi Narahara
Summary: This paper investigates the interaction of traveling pulses in a closed loop, which is achieved through neighbor-to-neighbor coupling by lossy inductors. When rotary traveling pulses are developed in the loop, their positions oscillate slightly in the rotating frame, leading to spurious spectral peaks in the output spectrum. To eliminate these spurious peaks, the reduction theory is applied to characterize the pulse interaction properties, and an efficient spurious peak elimination scheme is developed.
NONLINEAR DYNAMICS
(2022)
Article
Mathematics, Applied
Chuangxia Huang, Xiaodan Ding
Summary: In this paper, a diffusive Mackey-Glass model with distinct diapause and developmental delays is proposed based on the diapause effect. Some sufficient conditions for the existence of traveling wave fronts are obtained by constructing appropriate upper and lower solutions and employing inequality techniques. Two numerical examples are provided to demonstrate the reliability and feasibility of the proposed model.
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
(2024)
Article
Mathematics
Dawei An, Weiqing Huang, Weiquan Liu, Jinrui Xiao, Xiaochu Liu, Zhongwei Liang
Summary: Rotary piezoelectric motors based on converse piezoelectric effect are competitive in precision driving and positioning, with the design objectives of miniaturization and larger output capability. This paper investigates resonance rotor and proposes a meshing drive mechanism of double traveling waves. The analysis includes comparison of modal shapes and responses, discussion of meshing traveling waves principle, and summarization of concise formula for output performance.
Article
Mathematics, Applied
Lizhuang Huang, Zhiting Xu
Summary: In this paper, a diffusive Nicholson's Blowflies equation with two delays is considered, and a new upper solution for the wave equation is constructed. The existence of traveling wave fronts connecting the two equilibria is shown, and the non-existence of traveling waves of the equation is obtained. This paper can serve as a corrigendum for the paper by Huang and Liu (2022).
APPLIED MATHEMATICS LETTERS
(2023)
Article
Engineering, Electrical & Electronic
Aida Fallahtabar, Soolmaz Abbasalizadeh, Hossein Miar Naimi
Summary: This paper proposes a new rotary traveling wave oscillator (RTWO) with automatic phase error compensation feedback. By introducing a new negative transconductor (-G(m) cell) circuit, the currents in four -G(m) cells adjust differently to cancel the phase errors. System analysis for describing the phase error compensation technique is provided, along with the clarification of design considerations at the circuit level and the stability analysis of the whole system. Simulations in 0.18 μm CMOS technology confirm the capability of the new RTWO to cancel the phase error.
INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS
(2023)
Article
Mathematics, Applied
Li Zhang, Wan-Tong Li
Summary: This paper focuses on the critical wave speed and traveling wave fronts for a general anisotropic nonlocal dispersal equation with delayed nonlocal response, where both the dispersal kernel function and the nonlocal response function are asymmetric. By analyzing the properties of eigenfunctions, the sign of the critical wave speed and the influence of the asymmetry on the critical wave speed are discussed. The existence of nondecreasing traveling wave solutions and the asymptotic behavior of the traveling wave and its derivative are obtained under certain conditions.
APPLIED MATHEMATICS LETTERS
(2021)
Article
Chemistry, Analytical
Jorge Hernando-Garcia, Jose Luis Garcia-Caraballo, Victor Ruiz-Diez, Jose Luis Sanchez-Rojas
Summary: The study compares the motion of a robot using standing waves (SW) and traveling waves (TW), with SW achieving a higher speed but requiring more precise positioning and tuning.
Article
Computer Science, Information Systems
Ruifeng Zhang, Qi Wang, Difu Deng, Yao Dong, Fei Xiao, Gil Travish, Huarong Gong
Summary: Researchers have made progress in achieving high-power THz sources through high-harmonic traveling wave tubes and dual-beam schemes, both of which show advantages and promising prospects.
Article
Mathematics, Interdisciplinary Applications
Xiaohao Zhang, Zhaozhao Li, Bo Li, Ruihuan Wu, Weiyi Hong
Summary: This paper investigates the temporal dynamics of a dual-loop optoelectronic oscillator (OEO) based on polarization multiplexing. The delay-differential equation (DDE) for the dual-loop OEO system is introduced and simplified using the microwave envelope method. The stability analysis of the static solution and the calculation of gain thresholds for various dynamic behaviors are performed. The proposed nonlinear dynamics approach reveals the relationship between the stability of the microwave envelope and the feedback gain and coupling coefficient, showing a non-monotonically incremental relationship between the envelope amplitude of the ultrapure microwave and the feedback gain. Experimental measurements confirm the theoretical and numerical analysis.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Mathematics, Applied
Lianwen Wang, Xingyu Wang, Zhijun Liu, Yating Wang
Summary: This contribution presents a delayed diffusive SEIVS epidemic model that can predict and quantify the transmission dynamics of slowly progressive diseases. The model is applied to fit pulmonary tuberculosis case data in China and provides predictions of its spread trend and effectiveness of interventions.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Optics
Zhaoyang Wang, Yijie Shen, Qiang Liu, Xing Fu
Summary: By introducing the concept of ray-split/fusion state, the characteristics of azimuthally traveling-wave and standing-wave structured light have been successfully unified, allowing precise parameterization of the ray-split/fusion effect and advancing structured light control in higher dimensions.
Article
Multidisciplinary Sciences
Jing Zhang, Bo Peng, Seunghwi Kim, Faraz Monifi, Xuefeng Jiang, Yihang Li, Peng Yu, Lianqing Liu, Yu-xi Liu, Andrea Alu, Lan Yang
Summary: The observation of mechanical micro-solitons excited by optical fields in an optomechanical microresonator has opened up new possibilities for optomechanical technologies. By balancing optomechanical nonlinearities with a tailored modal dispersion, stable, dissipative optomechanical solitons have been realized in a whispering gallery mode resonator.
Article
Mathematics, Applied
Denghao Pang, Wei Jiang, Song Liu, Azmat Ullah Khan Niazi
Summary: This paper investigates the well-posedness and iterative formula for fractional oscillator equations with two different fractional orders and time delays, deriving a new generalized Gronwall's inequality and Mittag-Leffler estimation. The explicit solution and iterative formula, as well as unique existence, are presented based on the method of steps, with the validity of the main results illustrated through an example.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2021)
