Synchronization of clocks

M Kapitaniak, K Czolczynski, P Perlikowski, A Stefanski… - Physics Reports, 2012 - Elsevier
In this report we recall the famous Huygens' experiment which gave the first evidence of the
synchronization phenomenon. We consider the synchronization of two clocks which are …

Clustering and synchronization of n Huygens' clocks

K Czolczynski, P Perlikowski, A Stefanski… - Physica A: Statistical …, 2009 - Elsevier
We study the synchronization of a number of pendulum clocks hanging from an elastically
fixed horizontal beam. It has been shown that after a transient, different types of …

An improved model for the classical Huygens׳ experiment on synchronization of pendulum clocks

JP Ramirez, RHB Fey, K Aihara, H Nijmeijer - Journal of Sound and …, 2014 - Elsevier
This paper introduces a new model for the classical Huygens׳ experiment on
synchronization of two pendulum clocks hanging from a wooden coupling structure. The …

Clustering of Huygens' clocks

K Czolczynski, P Perlikowski, A Stefanski… - Progress of …, 2009 - academic.oup.com
We study synchronization of a number of pendulum clocks hanging from an elastically fixed
horizontal beam. It has been shown that after a transient, different types of synchronization …

Synchronization of coupled self-excited elastic beams

MA Barrón, M Sen - Journal of Sound and Vibration, 2009 - Elsevier
The behavior of four coupled self-excited elastic beams is numerically studied using the
finite-difference method. Self-excitation is modeled by adding a van der Pol damping term …

Synchronous motion of two vertically excited planar elastic pendula

M Kapitaniak, P Perlikowski, T Kapitaniak - Communications in Nonlinear …, 2013 - Elsevier
The dynamics of two planar elastic pendula mounted on the horizontally excited platform
have been studied. We give evidence that the pendula can exhibit synchronous oscillatory …

Nonlinear response of a forced van der Pol–Duffing oscillator at non-resonant bifurcations of codimension two

JC Ji, N Zhang - Chaos, Solitons & Fractals, 2009 - Elsevier
Non-resonant bifurcations of codimension two may appear in the controlled van der Pol–
Duffing oscillator when two critical time delays corresponding to a double Hopf bifurcation …

单圆盘转子非线性振动模型及机理

杨金福, 伍敏 - 航空动力学报, 2012 - jasp.com.cn
根据转子非线性振动的力学性质及大变形假设, 结合工程实际构建了转子非线性振动具有
Duffing 方程形式的力学模型, 推导了非线性系统的等效频率和频响方程, 研究了刚度元件 …

[PDF][PDF] Evaluating the Dynamical Behavior and Stability of Pipes Conveying Fluid

MR Ismail - 2011 - researchgate.net
Pipes conveying fluid have significant applications in a wide range of industrial and
engineering applications. Recently, this topic has been crystallized into a dynamical model …

Multistability and chaotic beating of Duffing oscillators suspended on an elastic structure

K Czołczyński, A Stefański, P Perlikowski… - Journal of Sound and …, 2009 - Elsevier
We consider the dynamics of a number of externally excited chaotic oscillators suspended
on an elastic structure. We show that for the given conditions of oscillations of the structure …