Results 11 to 20 of about 536,726 (217)

Features of dynamic processes in the “indentor – coating” system during tests on a tribometer

open access: yesВестник Самарского университета: Аэрокосмическая техника, технологии и машиностроение, 2023
The features of a nonlinear model of the indenter-coating tribosystem of a tribometer are considered. It is shown that with an increase in the amplitude of harmonic perturbation, the dynamic system goes through the stage of doubling the cycle and passes ...
I. V. Kolesnikov   +3 more
doaj   +1 more source

Limit cycle oscillation prediction based on Finite Element-Modal approach [PDF]

open access: yesArchive of Mechanical Engineering, 2018
The central theme of this work was to analyze high aspect ratio structure having structural nonlinearity in low subsonic flow and to model nonlinear stiffness by finite element-modal approach.
Kamran Ahmad, Shigang Wu, Hammad Rahman
doaj   +1 more source

Equivalent dimensionality reduction method of doubly‐fed induction generator model and discrimination of Hopf bifurcation type

open access: yesEnergy Science & Engineering, 2023
The strong coupling, multivariate, and nonlinear characteristics of the mathematical model of a doubly‐fed induction generator (DFIG) make it challenging to analyze the bifurcation category of the DFIG. Therefore, in this study, we developed a method for
Wei Chen   +4 more
doaj   +1 more source

Stability Analysis of Equilibrium Point and Limit Cycle of Two-Dimensional Nonlinear Dynamical Systems—A Tutorial

open access: yesApplied Sciences, 2023
The equilibrium state of a dynamical system can be divided into the equilibrium point and limit cycle. In this paper, the stability analysis of the equilibrium point and limit cycle of dynamical systems are presented through different and all possible ...
Bin Wei
doaj   +1 more source

Limit Cycles and Integrability of a Class of Quintic System

open access: yesMathematics, 2022
In this paper, a class of quintic systems is investigated. The first 13 focal values are computed with the aid of MATHEMATICA. Then the necessary conditions of integrability and linearizability are obtained and the sufficiency of every condition is ...
Yanli Tang, Dongmei Zhang, Feng Li
doaj   +1 more source

Canard Limit Cycle of the Holling-Tanner Model

open access: yesDiscrete Dynamics in Nature and Society, 2014
By using the singular perturbation theory on canard cycles, we investigate the canard phenomenon for the Holling-Tanner model with the intrinsic growth rate of the predator small enough.
Chongwu Zheng   +2 more
doaj   +1 more source

Limit-Cycle-Preserving Simulation of Gene Regulatory Oscillators

open access: yesDiscrete Dynamics in Nature and Society, 2012
In order to simulate gene regulatory oscillators more effectively, Runge-Kutta (RK) integrators are adapted to the limit-cycle structure of the system.
Xiong You
doaj   +1 more source

A Predator–Prey Model from a Collective Dynamics and Self-Propelled Particles Approach

open access: yesComputer Sciences & Mathematics Forum, 2023
The definition and description of the dynamics of a predator–prey system are some of the fundamental problems of population biology. Since 1925, several models have been introduced.
Yaya Youssouf Yaya
doaj   +1 more source

Analytical estimations of limit cycle amplitude for delay-differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
The amplitude of limit cycles arising from Hopf bifurcation is estimated for nonlinear delay-differential equations by means of analytical formulas. An improved analytical estimation is introduced, which allows more accurate quantitative prediction of ...
Tamás Molnár   +2 more
doaj   +1 more source

A family of planar differential systems with hyperbolic algebraic limit cycles

open access: yesElectronic Journal of Qualitative Theory of Differential Equations
In this paper, we characterize a family of planar polynomial differential systems of degree greater or equal than $n+1$, by presenting polynomial curves of degree $n,$ which generally contain closed components.
Maroua Ghelmi, Aziza Berbache
doaj   +1 more source

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