Results 31 to 40 of about 10,996,377 (201)

Analysis of Tangential Nonlinear Vibration on Machine Hydrostatic Slide

open access: yesShock and Vibration, 2019
In this paper, the nonlinear dynamic responses of the hydrostatic slide were investigated and the effects of damping and external force to control the vibration system were discussed.
Zhongkui Zhang   +3 more
doaj   +1 more source

Limit cycle bifurcations in a planar piecewise quadratic system with multiple parameters

open access: yesAdvances in Difference Equations, 2020
This paper is concerned with the number of limit cycles bifurcating from a period annulus for some planar piecewise smooth non-Hamiltonian systems. We construct a planar piecewise quadratic system with multiple parameters, obtain its lower bound for the ...
Shuhua Gong, Maoan Han
doaj   +1 more source

Bifurcating Limit Cycles with a Perturbation of Systems Composed of Piecewise Smooth Differential Equations Consisting of Four Regions

open access: yesMathematics, 2023
Systems composed of piecewise smooth differential (PSD) mappings have quantitatively been searched for answers to a substantial issue of limit cycle (LC) bifurcations. In this paper, LC numbers (LCNs) of a PSD system (PSDS) consisting of four regions are
Erli Zhang, Jihua Yang, Stanford Shateyi
doaj   +1 more source

Chaotic Behavior of the Biharmonic Dynamics System

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2009
Motion of a biharmonic system under action of small periodic force and small damped force is studied. The biharmonic oscillator is a physical system acting under a biharmonic force like asin⁡θ+bsin⁡2θ. The article contains biharmonic oscillator analysis,
Vladimir S. Aslanov
doaj   +1 more source

Poincaré-Melnikov-Arnold method for twist maps [PDF]

open access: yes, 1997
The Poincar\'e--Melnikov--Arnold method is the standard tool for detecting splitting of invariant manifolds for systems of ordinary differential equations close to ``integrable'' ones with associated separatrices.
Delshams Valdés, Amadeu   +1 more
core   +2 more sources

Dynamical Analysis of Barium Titanate Crystal in Alternative Voltage RL Circuit

open access: yesChaos and Fractals
This brief paper theoretically investigates the dynamical characteristics of ferroelectric materials, specifically barium titanate $(BaTiO_3) $ crystal in alternative voltage resistor (R) and inductor (L) circuit.
Guy Joseph Eyebe   +4 more
doaj   +1 more source

Study of limit cycles in piecewise smooth perturbations of Hamiltonian centers via regularization method

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2017
In this article we study the existence and positions of limit cycles in piecewise smooth perturbations of planar Hamiltonian centers. By using the regularization method we provide an analytical expression for the first order Melnikov function frequently ...
Luis Mello   +2 more
doaj   +1 more source

Research on the Threshold Determination Method of the Duffing Chaotic System Based on Improved Permutation Entropy and Poincaré Mapping

open access: yesEntropy, 2023
The transition from a chaotic to a periodic state in the Duffing chaotic oscillator detection system is crucial in detecting weak signals. However, accurately determining the critical threshold for this transition remains a challenging problem ...
Jing Zhou, Yaan Li, Mingzhou Wang
doaj   +1 more source

Nonlinear vibration and chaos of a moving flexible graphene smart electronic web

open access: yesResults in Physics, 2020
Flexible graphene smart electronics are a kind of electronic device made of silver or other inorganic material and a flexible graphene web substrate. Because of their flexibility and excellent electronic properties, flexible graphene smart electronics ...
Shudi Ying   +4 more
doaj   +1 more source

Poincaré-Melnikov-Arnold method for analytic planar maps [PDF]

open access: yes, 1995
The Poincare-Melnikov-Arnold method for planar maps gives rise to a Melnikov function defined by an infinite and (a priori) analytically uncomputable sum.
Delshams Valdés, Amadeu   +1 more
core   +2 more sources

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