Response characteristics of an antiphase coupled oscillator system to an injection signal

1990 ◽  
Vol 73 (10) ◽  
pp. 1-9
Author(s):  
Katsumi Fukumoto ◽  
Masamitsu Nakajima
Keyword(s):  
Coupled Oscillator ◽  
Oscillator System ◽  
Response Characteristics

scholarly journals Time delay effect in a three coupled oscillator system of the physarum plasmodium

2000 ◽  
Vol 40 (supplement) ◽  
pp. S100
Author(s):  
A. Takamatsu ◽  
T. Fujii ◽  
I. Endo
Keyword(s):  
Time Delay ◽  
Delay Effect ◽  
Coupled Oscillator ◽  
Oscillator System ◽  
Time Delay Effect

scholarly journals The Dynamics of Coupled  Oscillators

2021 ◽  
Author(s):  
◽  
Nigel Lawrence Holland
Keyword(s):  
Heart Rate ◽  
Differential Equations ◽  
Cardiovascular System ◽  
Coupled Oscillators ◽  
Dynamical Process ◽  
Coupled Oscillator ◽  
Sinus Arrhythmia ◽  
Oscillator System ◽  
Respiration Frequency ◽  
Human Cardiovascular System

<p>The subject is introduced by considering the treatment of oscillators in Mathematics from the simple Poincar´e oscillator, a single variable dynamical process defined on a circle, to the oscillatory dynamics of systems of differential equations. Some models of real oscillator systems are considered. Noise processes are included in the dynamics of the system. Coupling between oscillators is investigated both in terms of analytical systems and as coupled oscillator models. It is seen that driven oscillators can be used as a model of 2 coupled oscillators in 2 and 3 dimensions due to the dependence of the dynamics on the phase difference of the oscillators. This means that the dynamics are easily able to be modelled by a 1D or 2D map. The analysis of N coupled oscillator systems is also described. The human cardiovascular system is studied as an example of a coupled oscillator system. The heart oscillator system is described by a system of delay differential equations and the dynamics characterised. The mechanics of the coupling with the respiration is described. In particular the model of the heart oscillator includes the baroreceptor reflex with time delay whereby the aortic fluid pressure influences the heart rate and the peripheral resistance. Respiration is modelled as forcing the heart oscillator system. Locking zones caused by respiratory sinus arrhythmia (RSA), the synchronisation of the heart with respiration, are found by plotting the rotation number against respiration frequency. These are seen to be relatively narrow for typical physiological parameters and only occur for low ratios of heart rate to respiration frequency. Plots of the diastolic pressure and heart interval in terms of respiration phase parameterised by respiration frequency illustrate the dynamics of synchronisation in the human cardiovascular system.</p>

Analytical expressions for real and complex Fano parameters in a simple classical harmonic oscillator system

2021 ◽  
Author(s):  
Seiji MIZUNO
Keyword(s):  
Harmonic Oscillator ◽  
Resonance Frequency ◽  
Real Number ◽  
Wave Phenomenon ◽  
Fano Resonance ◽  
Equation Of Motion ◽  
Coupled Oscillator ◽  
Physical Systems ◽  
Oscillator System ◽  
Analytical Expressions

Abstract We analytically study the Fano resonance in a simple coupled oscillator system. We demonstrate directly from the equation of motion that the resonance profile observed in this system is generally described by the Fano formula with a complex Fano parameter. The analytical expressions are derived for the resonance frequency, resonance width, and Fano parameter, and the conditions under which the Fano parameter becomes a real number are examined. These expressions for the simple system are also expected to be helpful for considering various other physical systems because the Fano resonance is a general wave phenomenon.

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