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  1. No Access

    Article

    Multi-innovation-based online variable projection algorithm for a class of nonlinear models

    Separable nonlinear models (SNMs) serve as potent instruments for system identification, data analysis, and machine learning. However, the online identification of SNMs poses a greater challenge compared to th...

    Jian-Nan Su, **ang-**ang Su, Guang-Yong Chen, Min Gan… in Nonlinear Dynamics (2024)

  2. No Access

    Article

    Parameter identification of fractional-order systems with time delays based on a hybrid of orthonormal Bernoulli polynomials and block pulse functions

    In this paper, we present effective and efficient identification methods with a higher accuracy for fractional order system (FOS) with time delays and nonzero initial condition. We construct a new hybrid of or...

    Myong-Hyok Sin, Cholmin Sin, Hyang-Yong Kim, Yong-Min An… in Nonlinear Dynamics (2024)

  3. No Access

    Article

    Image encryption algorithm based on COA and hyperchaotic Lorenz system

    Aiming at the problems of weak security and susceptibility to violent cracking in traditional image encryption algorithms, this paper presents a novel image encryption algorithm based on the Coyote Optimizatio...

    **aofu Qin, Yong Zhang in Nonlinear Dynamics (2024)

  4. No Access

    Article

    A novel (2+1)-dimensional Sawada-Kotera type system: multisoliton solution and variable separation solution

    A novel (2+1)-dimensional system of the Sawada-Kotera type is considered. The existence of three-soliton and four-soliton solutions with wave number constraints is confirmed. Other interesting solutions, such ...

    Jianyong Wang, Yunqing Yang, **aoyan Tang, Yong Chen in Nonlinear Dynamics (2024)

  5. No Access

    Article

    Research on vibration spectral structures of planetary gearboxes based on a universal equation of phenomenological modeling

    A variety of factors such as time-varying transfer paths, planet shifts, etc., can induce additional modulation sidebands in the spectrum of planetary gearboxes. Most of previous work only considers the effect...

    Zongyao Liu, Shixiang Mao, Lin Li, Yong Chang, Haibin Ma in Nonlinear Dynamics (2024)

  6. No Access

    Article

    Constructing dynamic S-boxes based on chaos and irreducible polynomials for image encryption

    Inspired by the Arnold chaotic map, we design a new generation formula for constructing S-boxes, which effectively integrates the characteristics and advantages of chaos map and algebraic model and lays a good...

    Chenhong Luo, Yong Wang, Yongji Fu, ** Zhou, Mingyue Wang in Nonlinear Dynamics (2024)

  7. No Access

    Article

    Formation and propagation dynamics of peakons and double-hump solitons of the generalized focusing/defocusing NLS equations with \(\varvec{\mathcal{P}\mathcal{T}}\) -symmetric \(\varvec{\delta }{} \mathbf{(x)}\) -sech optical potentials

    In this paper, we investigate several important properties of the generalized nonlinear Schrödinger equation with \(\mathcal{P}\mathcal{T}\) ...

    Zijian Zhou, Yong Chen, Zhenya Yan in Nonlinear Dynamics (2024)

  8. No Access

    Article

    A nonlinear model for dynamic performance analysis of gas foil bearing-rotor system considering frictional contacts

    The dynamic behaviors of gas foil bearing-rotor system are greatly affected by the dam** resulting from friction inside foil structure. However, challenges exist in theoretical study when introducing the fri...

    Xuewei Zhao, Changlin Li, Jianjun Du, Yong Lu in Nonlinear Dynamics (2024)

  9. No Access

    Article

    Fast finite-time secure control for nonlinear systems under dynamic event-triggered mechanism

    This paper addresses the fast finite-time secure control problem for the nonlinear system in the presence of the deception attacks. Firstly, in order to suppress the deception attacks more rapidly, the secure ...

    Yuezhi Liu, Yong Chen in Nonlinear Dynamics (2024)

  10. No Access

    Article

    Oceanic internal solitary wave interactions via the KP equation in a three-layer fluid with shear flow

    The various patterns of internal solitary wave interactions are complex phenomena in the ocean, susceptible to the influence of shear flow and density distributions. Satellite imagery serves as an effective to...

    Jun-Chao Sun, **ao-Yan Tang, Yong Chen in Nonlinear Dynamics (2024)

  11. No Access

    Article

    Reducing shimmy oscillation of a dual-wheel nose landing gear based on torsional nonlinear energy sink

    Shimmy is described as a self-induced oscillation for the landing gear which is a threat to the handing quality and safety of aircraft taxiing on the ground. This paper proposes a novel torsional nonlinear ene...

    Yong Wang, Tao Zhang, Yin Yin, **aohui Wei in Nonlinear Dynamics (2024)

  12. No Access

    Article

    Statistical information of low-dimensional processes hidden in random state data

    For stochastically excited dissipative dynamical systems, the low-dimensional slowly varying processes act as the essential and simplified description of the apparent high-dimensional fast-varying processes (i...

    Yan** Tian, Zhanchao Huang, Junyin Li, Yong Wang, Zhilong Huang… in Nonlinear Dynamics (2024)

  13. No Access

    Article

    Anhysteretic high-static–low-dynamic stiffness vibration isolators with tunable inertial nonlinearity

    This study proposes an anhysteretic high-static–low-dynamic stiffness (HSLDS) vibration isolator with tunable nonlinear inerters. The aim is to overcome the drawbacks of conventional HSLDS vibration isolators....

    **hong Noh, Yong-** Yoon, Pilkee Kim in Nonlinear Dynamics (2024)

  14. No Access

    Article

    Evolution and control technology of energy aggregation and dissipation of a high hard roof during breakage and destabilization

    The focus of this study was prevented disasters caused by the breaking of high hard roofs (HHRs) in mines. A model of the mining load-bearing capacity of a HHR cantilever beam structure (HHRCBS) was developed ...

    Yong Li, Yang Tai, Bin Yu, Tiejun Kuang, Rui Gao… in International Journal of Fracture (2024)

  15. No Access

    Article

    Shimmy dynamics in a dual-wheel nose landing gear with freeplay under stochastic wind disturbances

    Shimmy dynamics of a dual-wheel nose landing gear system with torsional freeplay under stochastic lateral wind disturbances is studied. Dynamic characteristics of the deterministic case are numerically analyse...

    **aolei Du, Yong Xu, Qi Liu, Chongchong Liu, **aole Yue… in Nonlinear Dynamics (2024)

  16. No Access

    Article

    General soliton, line breather and (semi-)rational solutions for the nonlocal long-wave-short-wave resonance interaction equation

    In this work, the general solutions of the nonlocal long-wave-short-wave resonance interaction (LSRI) equation with nonzero boundary conditions are investigated by using the Hirota’s bilinear method and Kadomt...

    **n Wu, Yong Chen, Xue-Wei Yan in Nonlinear Dynamics (2024)

  17. No Access

    Article

    Utilizing symmetry-enhanced physics-informed neural network to obtain the solution beyond sampling domain for partial differential equations

    Physics-informed neural network (PINN) provides an effective way to learn numerical solutions of partial differential equations (PDEs) in the sampling domain, but usually shows poor performances beyond the dom...

    Jie-Ying Li, Hui Zhang, Ye Liu, Lei-Lei Guo, Li-Sheng Zhang… in Nonlinear Dynamics (2023)

  18. No Access

    Article

    Global composite learning velocity tracking control for heavy haul trains

    In this paper, the velocity tracking control problem of heavy haul trains (HHTs) is focused on multibody and control-oriented dynamic models. A composite learning algorithm is developed by combining a neural n...

    Longsheng Chen, Hui Yang, Yong Ren in Nonlinear Dynamics (2023)

  19. No Access

    Article

    Dynamical analysis of multi-soliton and breather solutions on constant and periodic backgrounds for the (2+1)-dimensional Heisenberg ferromagnet equation

    This paper focuses on a class of \((2+1)\) ( 2 ...

    **ao-Qi Cui, **ao-Yong Wen, Xue-Ke Liu in Nonlinear Dynamics (2023)

  20. No Access

    Article

    Prediction of soliton evolution and equation parameters for NLS–MB equation based on the phPINN algorithm

    To enhance the precision and efficiency of result prediction, we proposed a parallel hard-constraint physics-informed neural networks (phPINN) by combining the parallel fully-connected neural network structure...

    Su-Yong Xu, Qin Zhou, Wei Liu in Nonlinear Dynamics (2023)

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