Motion of two weakly coupled nonlinear oscillators

1965 ◽  
Vol 18 (4) ◽  
pp. 293-303 ◽  
Author(s):  
Thomas G. Proctor ◽  
Raimond A. Struble
Keyword(s):  
Nonlinear Oscillators ◽  
Weakly Coupled ◽  
Coupled Nonlinear Oscillators

Chaos and nonisochronism in weakly coupled nonlinear oscillators

1991 ◽  
Vol 44 (6) ◽  
pp. 3452-3456 ◽  
Author(s):  
M. Poliashenko ◽  
S. R. McKay ◽  
C. W. Smith
Keyword(s):  
Nonlinear Oscillators ◽  
Weakly Coupled ◽  
Coupled Nonlinear Oscillators

Experimental observations of nonlinear vibration localization in a cyclic chain of weakly coupled nonlinear oscillators

2021 ◽  
Vol 497 ◽  
pp. 115952
Author(s):  
B. Niedergesäß ◽  
A. Papangelo ◽  
A. Grolet ◽  
A. Vizzaccaro ◽  
F. Fontanela ◽  
...  
Keyword(s):  
Nonlinear Vibration ◽  
Nonlinear Oscillators ◽  
Vibration Localization ◽  
Weakly Coupled ◽  
Coupled Nonlinear Oscillators

Frequency Clustering in a Chain of Weakly Coupled Oscillators

1997 ◽  
Vol 52 (8-9) ◽  
pp. 578-580 ◽  
Author(s):  
Thomas Kirner ◽  
Otto E. Rössler
Keyword(s):  
Numerical Simulation ◽  
Small Intestine ◽  
Coupled Oscillators ◽  
Nonlinear Oscillators ◽  
Conduction System ◽  
Linear Parameter ◽  
Weakly Coupled ◽  
Coupled Nonlinear Oscillators ◽  
A Chain ◽  
Frequency Gradient

Abstract A numerical simulation of a chain of diffusively coupled nonlinear oscillators with a linear parameter gradient exhibits clusters of frequencies. The intention was to investigate the frequency-gradient in the stimulus conduction system of the heart. The phenomenon generalizes earlier findings on “frequency plateaus” described in the 1960's by Nicholas Diamant as a model of small-intestine transport. This “waxing and waining” phenomenon is a version of chaos. Thus, subtle chaos in the heart and waxing and waining type chaos in the intestine may be related.

scholarly journals Nonlinear vibration localisation in a symmetric system of two coupled beams

2020 ◽  
Author(s):  
Filipe Fontanela ◽  
Alessandra Vizzaccaro ◽  
Jeanne Auvray ◽  
Björn Niedergesäß ◽  
Aurélien Grolet ◽  
...  
Keyword(s):  
Experimental Investigation ◽  
Nonlinear Vibration ◽  
Piecewise Linear ◽  
Nonlinear Oscillators ◽  
Symmetric System ◽  
Weakly Coupled ◽  
Coupled Nonlinear Oscillators ◽  
Coupled Beams ◽  
Two Degree Of Freedom ◽  
Piecewise Linear Stiffness

Abstract We report nonlinear vibration localisation in a system of two symmetric weakly coupled nonlinear oscillators. A two degree-of-freedom model with piecewise linear stiffness shows bifurcations to localised solutions. An experimental investigation employing two weakly coupled beams touching against stoppers for large vibration amplitudes confirms the nonlinear localisation.

Nonlinear Dynamics of Coupled Nonlinear Oscillators: Using of Complex Variables

1999 ◽  
Author(s):  
L. I. Manevitch
Keyword(s):  
Nonlinear Dynamics ◽  
Strong Coupling ◽  
Degrees Of Freedom ◽  
Normal Modes ◽  
Nonlinear Oscillators ◽  
Complex Variables ◽  
Dynamic Equations ◽  
Asymptotic Approach ◽  
Weakly Coupled ◽  
Coupled Nonlinear Oscillators

Abstract We present an asymptotic approach to the analysis of coupled nonlinear oscillators with asymmetric nonlinearity based on the complex representation of the dynamic equations The ideas of the approach are previously given on the example of the system with two degrees of freedom. The special attention is paid to the study of localized normal modes in the chain of weakly coupled nonlinear oscillators. We discuss also certain peculiarities of the localization of excitations in the case of strong coupling between oscillators.

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