Results 141 to 150 of about 7,901 (195)

On the Mode Localization Between Two Unidentical Resonators with Different Bending Modes for Acceleration Sensing. [PDF]

Sensors (Basel)
Yang B, Lyu M, Zhao J, Kacem N.
europepmc   +1 more source

Periodic Solutions of Duffing Equation

Periodic Solutions of Duffing Equation
openaire  

Some of the next articles are maybe not open access.

Related searches:

Periodically Forced Duffing's Equation

Journal of Sound and Vibration, 1994
Abstract Sufficient conditions are established for an equation of the type x ″ + α x + β x 3 = p ( t ) to have periodic solutions, where p ( t ) is periodic. The results are applied to analyze forced vibrations of a mass supported by a non-linear spring.
Mehri, B., Ghorashi, M.
openaire   +1 more source

Quasiperiodic solutions of Duffing’s equations

Nonlinear Analysis: Theory, Methods & Applications, 1998
The existence of quasiperiodic solutions and the boundedness of all solutions to the equation \[ {d^2x \over dt^2}+ x^{2n+1} +\sum^l_{k=0} x^kp_k(t)=0,\;l\leq 2n, \] where \(p_0,\dots,p_l\) are quasi-periodic functions with frequencies \(\omega_1,\dots,\omega_m\), are considered. The Diophantine condition \(|k_1\omega_1+ \cdots+ k_m\omega_m|\geq c/ |k|^
Liu, Bin, You, Jiangong
openaire   +1 more source

Integrable Duffing’s maps and solutions of the Duffing equation

Chaos, Solitons & Fractals, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Murakami, Wakako, Murakami, Chieko, Hirose, Kei-ichi, Ichikawa, Yoshi H.   +3 more
openaire   +1 more source

Bifurcations and Chaos in Duffing Equation

Acta Mathematicae Applicatae Sinica, English Series, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Meng, Yang, Jiangping
openaire   +2 more sources

FRACTIONAL DUFFING'S EQUATION AND GEOMETRICAL RESONANCE

International Journal of Bifurcation and Chaos, 2013
We investigate the Fractional Duffing equation in the presence of nonharmonic external perturbations. We have applied the concept of Geometrical Resonance to this equation. We have obtained the conditions that should be satisfied by the external driving forces in order to produce high-amplitude periodic oscillations avoiding chaos.
Jiménez, S., González, J. A., Vázquez, L.   +2 more
openaire   +1 more source

2π-Periodic solutions of Duffing's equation

USSR Computational Mathematics and Mathematical Physics, 1986
The common properties of different classes of \(2\pi\)-periodic solutions of Duffing's nonlinear differential equation are investigated analytically and numerically. Generating periodic solutions are examined. The basic properties of \(2\pi\)-periodic solutions are investigated using the nonlinear functional analysis method.
Galaktionova, O. O., Zlatoustov, V. A.
openaire   +2 more sources

Periodic solutions for Duffing equations

Nonlinear Analysis: Theory, Methods & Applications, 1995
The main result proved by the authors in this paper states that if \(k\) is the minimal positive integer such that \((k- 1)^2< A< k^2< B< \infty\), and there exists \(\beta\in C[0, 2\pi]\) such that \(A\leq f_y(x, y)\leq \beta(x)\leq B\) and \(\int^{2\pi}_0 \beta(x) dx< 2\pi A+ 2(B- A)\alpha_k\), where \(\alpha_k\) is the minimal positive root of the ...
Wang, H., Li, Y.
openaire   +2 more sources

Periodic Solutions of Discontinuous Duffing Equations

Qualitative Theory of Dynamical Systems, 2020
The author considers a scalar differential equation of the type \[ x''+g(x)=e(t), \] where \(e:{\mathbb R}\to {\mathbb R}\) is continuous and \(T\)-periodic, and \(g:{\mathbb R}\to {\mathbb R}\) has a discontinuity at the origin, with \(\lim_{x\to0^\pm}g(x)\in {\mathbb R}\) but different.
openaire   +2 more sources