Results 141 to 150 of about 1,912 (198)

On Isochronicity

Proceedings of the Steklov Institute of Mathematics, 2023
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D. Treschev
exaly   +4 more sources

Isochronicity of bi-centers for symmetric quartic differential systems

Discrete and Continuous Dynamical Systems - Series B, 2021
In this paper we investigate the simultaneous existence of isochronous centers for a family of quartic polynomial differential systems under four different types of symmetry.
Wilker
exaly   +2 more sources

The topology and isochronicity on complex Hamiltonian systems with homogeneous nonlinearities

Bulletin des Sciences Mathématiques, 2023
In this paper, we study the Hamiltonian differential systems with homogeneous nonlinearity parts on $\mathbb{C}^2$. Firstly, we present a series of topological properties of polynomial Hamiltonian functions, with a particular focus on the characteristics
Guangfeng Dong, Jiazhong Yang
semanticscholar   +1 more source

Linearization of nonlinear resonances: Isochronicity and force-displacement proportionality

Journal of Sound and Vibration, 2019
Two important properties of linear systems, namely force-displacement proportionality and resonance frequency invariance, are generally not satisfied by nonlinear systems.
Giuseppe Habib, Gaetan Kerschen
exaly   +2 more sources

Isochronicity and normal forms of polynomial systems of ODEs

Journal of Symbolic Computation, 2012
Valery G Romanovski
exaly   +2 more sources

Isochronicity and linearizability of planar polynomial Hamiltonian systems

Journal of Differential Equations, 2015
Jaume Llibre, Valery G Romanovski
exaly   +2 more sources

Isochronicity corrections for isochronous mass measurements at the HIRFL-CSRe

Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 2014
You-Jin Yuan, Meng Wang
exaly   +2 more sources

Isochronicity of centers in a switching Bautin system

Journal of Differential Equations, 2012
Xingwu Chen, Weinian Zhang
exaly   +2 more sources

Isochronicity conditions for some planar polynomial systems II

Bulletin Des Sciences Mathematiques, 2011
We study the isochronicity of centers at O ∈ R 2 for systems x ˙ = − y + A ( x , y ) , y ˙ = x + B ( x , y ) , where A , B ∈ R [ x , y ] , which can be reduced to the Lienard type equation.
Islam Boussaada, Abd Raouf Chouikha
exaly   +2 more sources

Non-isochronicity on piecewise Hamiltonian differential systems with homogeneous nonlinearities

Dynamical systems
In this paper, we prove the non-isochronicity of Σ-centres for a class of planar piecewise smooth differential systems with a straight switching line, whose two sub-systems are Hamiltonian differential systems with a non-degenerated centre and only ...
Xiaoyin Chen, Guangfeng Dong
semanticscholar   +1 more source