Results 51 to 60 of about 147 (138)

On the uniqueness of limit cycles for generalized Liénard systems

Open Mathematics, 2023
In this article, the general Liénard system dxdt=ϕ(y)−F(x),dydt=−g(x)\left\{\begin{array}{l}\frac{{\rm{d}}x}{{\rm{d}}t}=\phi (y)-F\left(x),\\ \frac{{\rm{d}}y}{{\rm{d}}t}=-g\left(x)\end{array}\right. is studied.
Zhou Hui, Yuan Yueding
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Periodic solutions for nonautonomous second order Hamiltonian systems with sublinear nonlinearity

Boundary Value Problems, 2011
Some existence and multiplicity of periodic solutions are obtained for nonautonomous second order Hamiltonian systems with sublinear nonlinearity by using the least action principle and minimax methods in critical point theory.
Zhang Jihui, Wang Zhiyong
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Amplitude Independent Frequency Synchroniser for a Cubic Planar Polynomial System [PDF]

, 2012
International audienceThe problem of local linearizability of the planar linear center perturbed by cubic non-linearities in all generalities on the system parameters (14 parameters) is far from being solved.
Boussaada, Islam
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Existence and Uniqueness of the Solution for the Stochastic Equation of Motion of a Viscous Gas in a Discretized One-Dimensional Domain [PDF]

, 2015
A stochastic equation system corresponding to the description of the motion of a barotropic viscous gas in a discretized one-dimensional domain with a weight regularizing the density is considered.
Benchettah, A., Benseghir, R.
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Periodic solutions for second order differential equations with indefinite singularities

Advances in Nonlinear Analysis, 2019
In this paper, the problem of periodic solutions is studied for second order differential equations with indefinite ...
Lu Shiping, Yu Xingchen
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Explicit limit cycles of a cubic polynomial differential systems [PDF]

, 2016
In this paper, we determine sufficient conditions for a cubic polynomial differential system to possess an algebraic, non-algebraic limit cycles, explicitly given. Concrete examples exhibiting the applicability of our result is introduced.
BENDJEDDOU , Ahmed, BOUKOUCHA, Rachid
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Subharmonic solutions of Hamiltonian systems displaying some kind of sublinear growth

Advances in Nonlinear Analysis, 2017
We prove the existence and multiplicity of subharmonic solutions for Hamiltonian systems obtained as perturbations of N planar uncoupled systems which, e.g., model some type of asymmetric oscillators.
Fonda Alessandro, Toader Rodica
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Limit cycles of Liénard polynomial systems type by averaging method

Moroccan Journal of Pure and Applied Analysis, 2020
We apply the averaging theory of first and second order for studying the limit cycles of generalized polynomial Linard systems of the ...
Boulfoul Amel, Mellahi Nawal
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Solution asymptotiquement périodique d'une classe d'équation différentielle stochastique

, 2019
International audienceIn this paper, we first introduce the concept and properties of ω-periodic limit process. Then we apply specific criteria obtained to investigate asymptotically ω-periodic mild solutions of a Stochastic Differential Equation driven ...
Dimbour, William, Manou-Abi, Solym
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Global structure of positive and sign-changing periodic solutions for the equations with Minkowski-curvature operator

Advanced Nonlinear Studies
We show the existence of unbounded connected components of 2π-periodic positive solutions for the equations with one-dimensional Minkowski-curvature operator −u′1−u′2′=λa(x)f(u,u′),x∈R, $-{\left(\frac{{u}^{\prime }}{\sqrt{1-{u}^{\prime 2}}}\right ...
Ma Ruyun, Zhao Zhongzi, Su Xiaoxiao
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