Rogue Waves of Nonlinear Schrödinger Equation with Time-Dependent Linear Potential Function by Ni Song, Yakui Xue

“…The first-order and second-order rogue waves solutions are obtained and the nonlinear dynamic behaviors of these solutions are discussed in detail. …”
Get full text

考虑支承跨距的非线性转子系统动力学特性研究 by 李辉, 管洪杰, 邵凤翔, 刘希东

“…According to the geometric model of spindle deformation,the total displacement relation of the front end of the spindle is obtained,and the optimum bearing span of the spindle is determined according to the minimum displacement of the front end.By means of numerical integration,the nonlinear dynamic response of the rotor system with the optimal span support is given,and the influence of rotational speed on the system dynamic response is analyzed by using axial trajectory diagram,phase portraits and Poincaré map.The results show that the rotor bearing system has good stability when it is running under the optimum support span.…”
Get full text

Approximate Prediction-Based Control Method for Nonlinear Oscillatory Systems with Applications to Chaotic Systems by Thiago P. Chagas, Pierre-Alexandre Bliman, Karl H. Kienitz

“…The approximate Prediction-Based Control method (aPBC) is the continuous-time version of the well-known Prediction-Based Chaos Control method applied to stabilize periodic orbits of nonlinear dynamical systems. The method is based on estimating future states of the free system response of continuous-time systems using the solution from the Runge-Kutta implicit method in real time. …”
Get full text

Exact Asymptotic Stability Analysis and Region-of-Attraction Estimation for Nonlinear Systems by Min Wu, Zhengfeng Yang, Wang Lin

“…We address the problem of asymptotic stability and region-of-attraction analysis of nonlinear dynamical systems. A hybrid symbolic-numeric method is presented to compute exact Lyapunov functions and exact estimates of regions of attraction of nonlinear systems efficiently. …”
Get full text

Numerical Analysis on Chaotic Vibration of Drive System for a Movable Tooth Piezoelectric Motor by Chong Li, Jichun Xing, Jiwen Fang, Zhong Zhao

“…The nonlinear dynamic equations of the drive system for movable tooth piezoelectric motor are established. …”
Get full text

STABILITY AND BIFURCATION OF PERIODIC MOTIONS OF THE PERMANENT MAGNET ROTOR SYSTEM WITH RUBBING by LAN HongWei

“…Established a two degrees of freedom model with discontinuous rigidity and damp for studying the response of the permanent magnet motor’s rotor and stator rubbing system,and there are abundant nonlinear dynamic behaviors when rubbing.the stability of periodic motions and the transitions to chaos though period-doubling bifurcations or Hopf bifurcations are studied based on Poincare mapping. …”
Get full text

Nonlocal Boundary Value Problems for q-Difference Equations and Inclusions by Sotiris K. Ntouyas, Jessada Tariboon

Get full text

Extending locked range of digital phase-locked loop by prediction estimation of states by ZHAO Yi-bo1, LUO Xiao-shu2, ZHANG Dao-yang3, FENG Jiu-chao1

“…A method to extend locked range of the positive zero crossing detection digital phase-locked loop（ZC-DPLL） was proposed.The nonlinear dynamical model of phase error of a non-controlled DPLL is firstly built,linearation predic-tion estimation of phase error in the stationary point domain is derived.Then nonlinear function of this prediction estima-tion is used to control by feedback.Locked range of the phase-locked loop is extended.Stability of fixed point of the controlled system is analyzed and the results by simulation are given.The effects not only show the proposed method is correct and effective but also it is superior to delay feedback method.…”
Get full text

Determination of Damage in Reinforced Concrete Frames with Shear Walls Using Self-Organizing Feature Map by Mehdi Nikoo, Łukasz Sadowski, Faezehossadat Khademi, Mohammad Nikoo

“…For this purpose, a concrete frame with a shear wall was subjected to nonlinear dynamic analysis. The SOFM was optimized using the genetic algorithm (GA) in order to determine the number of layers, number of nodes in the hidden layer, transfer function type, and learning algorithm. …”
Get full text

Safe Control for Spiral Recovery of Unmanned Aerial Vehicle by Chang-Jian Ru, Rui-Xuan Wei

“…Then, based on control scheduling of state variables and nonlinear dynamic inversion control laws, the spiral recovery controller is designed to accomplish guidance and control of spiral recovery. …”
Get full text

Comparison Criteria for Nonlinear Functional Dynamic Equations of Higher Order by Taher S. Hassan, Said R. Grace

“…The results extend and improve some known results in the literature on higher order nonlinear dynamic equations.…”
Get full text

The Existence of Cone Critical Point and Common Fixed Point with Applications by Wei-Shih Du

“…We first establish some new critical point theorems for nonlinear dynamical systems in cone metric spaces or usual metric spaces, and then we present some applications to generalizations of Dancš-Hegedüs-Medvegyev's principle and the existence theorem related with Ekeland's variational principle, Caristi's common fixed point theorem for multivalued maps, Takahashi's nonconvex minimization theorem, and common fuzzy fixed point theorem. …”
Get full text

Dynamic Vibration Absorber with Negative Stiffness for Rotor System by Hongliang Yao, Zidong Chen, Bangchun Wen

“…Then, the structure of the absorber is proposed; the principles and nonlinear dynamic characteristics of the absorber-rotor system are studied numerically. …”
Get full text

Uniformly Almost Periodic Functions and Almost Periodic Solutions to Dynamic Equations on Time Scales by Yongkun Li, Chao Wang

“…Finally, as an application of our results, we study the existence of almost periodic solutions for an almost periodic nonlinear dynamic equations on time scales.…”
Get full text

A Robust Control for an Aerial Robot Quadrotor under Wind Gusts by Li Ding, Zhenwei Wang

“…A robust flight controller based on linear active disturbance rejection control (LADRC) is proposed for stability control of an aerial robot quadrotor under wind gusts. The nonlinear dynamical model of the quadrotor, considering the wind disturbance, is firstly established through Newton-Euler method. …”
Get full text

Chaos and Control in Coronary Artery System by Yanxiang Shi

“…Numerical simulations are used to investigate the nonlinear dynamical characteristics and complexity of the two systems, revealing bifurcation forms and the road leading to chaotic motion. …”
Get full text

MODELING AND SIMULATION OF SINGLE LOOP PLANETARY TRANSMISSION SYSTEM BASED ON BOND GRAPH THEORY by ZHANG BaoFeng, CUI YaHui, ZHANG An, LIU Kai, GUO Kun

“…The results show that the modeling theory and method of bond graph can be used to solve the nonlinear dynamic problems of single loop planetary transmission system.…”
Get full text

Multivariate Nonlinear Analysis and Prediction of Shanghai Stock Market by Junhai Ma, Lixia Liu

“…This study attempts to characterize and predict stock returns series in Shanghai stock exchange using the concepts of nonlinear dynamical theory. Surrogate data method of multivariate time series shows that all the stock returns time series exhibit nonlinearity. …”
Get full text

Variational Iteration Method of Dropping Shock Response for the Suspension Spring Packaging System by Shuang Song, An-Jun Chen

“…In accordance with dropping shock dimensionless cubic nonlinear dynamic equation of suspension spring system, by variational iteration method, a first-order approximate solution of the system was obtained. …”
Get full text

Proportional PDC Design-Based Robust Stabilization and Tracking Control Strategies for Uncertain and Disturbed T-S Model by Chekib Ghorbel, Amira Tiga, Naceur Benhadj Braiek

“…This paper presents a proportional parallel distributed compensation (PPDC) design to the robust stabilization and tracking control of the nonlinear dynamic system, which is described by the uncertain and perturbed Takagi–Sugeno (T-S) fuzzy model. …”
Get full text