Coupled Oscillations

2005 ◽  
pp. 79-106
Keyword(s):  
Coupled Oscillations

scholarly journals Phase-Coupled Oscillations in the Brain: Nonlinear Phenomena in Cellular Signalling

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Vikas Rai ◽  
Sreenivasan Rajamoni Nadar ◽  
Riaz A. Khan
Keyword(s):  
Limit Cycles ◽  
Initial Conditions ◽  
Phase Relationship ◽  
Oscillatory System ◽  
Calcium Currents ◽  
Nonlinear Phenomena ◽  
Inhibitory Interneurons ◽  
Stable Limit ◽  
Principal Cells ◽  
Coupled Oscillations

We report the existence of phase-coupled oscillations in a model neural system. The model consists of a group of excitatory principal cells in interaction with local inhibitory interneurons. The voltages across the membranes of excitatory cells are governed primarily by calcium and potassium ion conductivities. The number of potassium channels open at any given instant changes in accordance with a deterministic law. The time scale of this change is set by a constant which depends on midpoint potentials at which potassium and calcium currents are half-activated. The growth of mean membrane potential of excitatory principal cells is controlled by that of the inhibitory interneurons. Nonlinear oscillatory system associated with these limit cycles starting from two different initial conditions maintain a definite phase relationship. The phase-coupled oscillations in electrical activity of the neuronal cells carry together amplitude, phase, and time information for cellular signaling. This mechanism supports an energy efficient way of information processing in the central nervous system. The information content is encoded as persistent periodic oscillations represented by stable limit cycles in the phase space.

scholarly journals The effect of stiffness and mass on coupled oscillations in a phononic crystal

AIP Advances ◽  
2013 ◽  
Vol 3 (11) ◽  
pp. 112121 ◽  
Author(s):  
M. Ghasemi Baboly ◽  
M. F. Su ◽  
C. M. Reinke ◽  
S. Alaie ◽  
D. F. Goettler ◽  
...  
Keyword(s):  
Phononic Crystal ◽  
Coupled Oscillations

Coupled oscillations in a 1D emulsion of Belousov–Zhabotinsky droplets

Soft Matter ◽  
2011 ◽  
Vol 7 (7) ◽  
pp. 3155 ◽  
Author(s):  
Jorge Delgado ◽  
Ning Li ◽  
Marcin Leda ◽  
Hector O. González-Ochoa ◽  
Seth Fraden ◽  
...  
Keyword(s):  
Coupled Oscillations

Wilberforce pendulum: modelling linearly damped coupled oscillations of a spring-mass system

2021 ◽  
Author(s):  
Robert Frederik Diaz Uy ◽  
Chenghao Yuan ◽  
Zhengshan Chai ◽  
Justin Khor
Keyword(s):  
Experimental Data ◽  
Angular Displacement ◽  
Beat Frequency ◽  
Vertical Displacement ◽  
Quantitative Model ◽  
Moment Of Inertia ◽  
Lagrangian Formalism ◽  
Mass System ◽  
Coupled Oscillations ◽  
Theoretical Predictions

Abstract The Wilberforce pendulum is a coupled spring-mass system, where a mass with adjustable moment of inertia is suspended from a helical spring. Energy is converted between the translational and torsional modes, and this energy conversion is most clearly observed at resonance, which occurs when the damped natural frequencies of the two oscillation modes are equal. A theoretical model—with energy losses due to viscous damping accounted for—was formulated using the Lagrangian formalism to predict the pendulum mass’ trajectory. Theoretical predictions were compared with experimental data, showing good agreement. Fourier analysis of both theoretical predictions and experimental data further corroborate the validity of our quantitative model. The dependence of oscillation features like beat frequency and maximum conversion amplitude on relevant parameters such as the initial vertical displacement, initial angular displacement and moment of inertia was also investigated and experimentally verified.

scholarly journals Cell-Cycle-Coupled Oscillations in Apical Polarity and Intercellular Contact Maintain Order in Embryonic Epithelia

2017 ◽  
Vol 27 (9) ◽  
pp. 1381-1386 ◽  
Author(s):  
Katerina Ragkousi ◽  
Kendra Marr ◽  
Sean McKinney ◽  
Lacey Ellington ◽  
Matthew C. Gibson
Keyword(s):  
Cell Cycle ◽  
Intercellular Contact ◽  
Coupled Oscillations ◽  
Apical Polarity
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