A model oscillator of irregular stellar variability

1988 ◽  
Vol 148 (2) ◽  
pp. 229-237 ◽  
Author(s):  
Y. Tanaka ◽  
M. Takeuti
Keyword(s):  
Model Oscillator

A plentiful supply of soliton solutions for DNA Peyrard–Bishop equation by means of a new auxiliary equation strategy

2021 ◽  
pp. 2150265
Author(s):  
Loubna Ouahid ◽  
M. A. Abdou ◽  
Sachin Kumar ◽  
Saud Owyed ◽  
S. Saha Ray
Keyword(s):  
Deoxyribonucleic Acid ◽  
Soliton Solutions ◽  
Auxiliary Equation ◽  
Solitary Wave Solutions ◽  
Dark Light ◽  
Closed Form Solutions ◽  
Wave Solutions ◽  
Literary Materials ◽  
Model Oscillator ◽  
Fractional Space

In this paper, we present a work on dynamic equation of Deoxyribonucleic acid (DNA) derived from the Peyrard–Bishop (PB) model oscillator chain for various dynamical solitary wave solutions. In order to construct novel soliton solutions in the DNA dynamic PB model with beta-derivative, the efficiency of the newly developed algorithms is being investigated, which could include a new auxiliary equation strategy (NAES). Some precise soliton solutions comprising dark, light and other forms of multi-wave soliton solutions are achieved via the proposed methods. Furthermore, mathematical models demonstrate the singularity of our work in comparison to current literary materials and even describe some results using the classic Peyrard–Bishop model. All the established results contribute to the possibility of extending the approach to solve other nonlinear equations of fractional space–time derivatives in nonlinear sciences. The strategy that has been proposed recently is specific and is being employed to produce novel closed-form solutions for all many other FNLEEs.

An Electronic Ski Binding Design with Biofeedback

1980 ◽  
Vol 102 (4) ◽  
pp. 677-682 ◽  
Author(s):  
D. K. Lieu ◽  
C. D. Mote
Keyword(s):  
Lower Extremity ◽  
Model Reference ◽  
Emg Signal ◽  
Lower Extremity Muscle ◽  
Leg Axis ◽  
State Estimators ◽  
Muscle Groups ◽  
Model Reference Adaptive ◽  
Model Oscillator ◽  
Anterior Posterior

A ski release binding releases the ski boot from the ski for loading environments potentially injurious to the lower extremity. The concept of using a model reference adaptive control system to control ski binding release is explored. Model reference oscillators simulate torsion about the longitudinal leg axis and anterior-posterior bending of the lower extremity. The model oscillator coefficients are adjusted depending upon processed EMG signal levels from lower extremity muscle groups, which serve as state estimators. Background on release binding design, binding circuit diagrams and the results of preliminary tests on a binding are presented in this paper.

SUSY BREAKING IN CELKA-HUSSIN'S GENERAL 3D MODEL OSCILLATOR HAMILTONIAN AND THE WIGNER PARAMETER

1994 ◽  
Vol 09 (12) ◽  
pp. 1047-1058 ◽  
Author(s):  
J. JAYARAMAN ◽  
R. DE LIMA RODRIGUES
Keyword(s):  
Free Parameter ◽  
3D Model ◽  
Susy Breaking ◽  
Commutation Rule ◽  
Oscillator System ◽  
Model Oscillator ◽  
Susy Model

The free parameter of the generalized 3D SUSY model oscillator Hamiltonian of Celka and Hussin is identified here with the Wigner parameter of a related super-realized general 3D Wigner oscillator system satisfying a super-generalized quantum commutation rule. The super-oscillator technique is then advantageously employed to determine fully a previously only partially given spectrum by Celka and Hussin for their Hamiltonian. The dependence of the spectrum on the Wigner parameter and the consequent occurrence of exceptional SUSY breakings in the model are clearly brought out.

Three-dimensional instability of viscoelastic elliptic vortices

1997 ◽  
Vol 353 ◽  
pp. 357-381 ◽  
Author(s):  
H. HAJ-HARIRI ◽  
G. M. HOMSY
Keyword(s):  
Plane Waves ◽  
Three Dimensional ◽  
Deborah Number ◽  
Base Flow ◽  
Necessary Condition ◽  
Inertial Instability ◽  
Viscoelastic Instability ◽  
Dimensional Instability ◽  
Model Oscillator ◽  
Vortex Axis

An analysis of the three-dimensional instability of two-dimensional viscoelastic elliptical flows is presented, extending the inviscid analysis of Bayly (1986) to include both viscous and elastic effects. The problem is governed by three parameters: E, a geometric parameter related to the ellipticity; Re, a wavenumber-based Reynolds number; and De, the Deborah number based on the period of the base flow. New modes and mechanisms of instability are discovered. The flow is generally susceptible to instabilities in the form of propagating plane waves with a rotating wavevector, the tip of which traces an ellipse of the same eccentricity as the flow, but with the major and minor axes interchanged. Whereas a necessary condition for purely inertial instability is that the wavevector has a non-vanishing component along the vortex axis, the viscoelastic modes of instability are most prominent when their wavevectors do vanish along this axis. Our analytical and numerical results delineate the region of parameter space of (E, ReDe) for which the new instability exists. A simple model oscillator equation of the Mathieu type is developed and shown to embody the essential qualitative and quantitative features of the secular viscoelastic instability. The cause of the instability is a buckling of the ‘compressed’ polymers as they are perturbed transversely during a particular phase of the passage of the rotating plane wave.

scholarly journals Many Parameter Sets in a Multicompartment Model Oscillator Are Robust to Temperature Perturbations

2014 ◽  
Vol 34 (14) ◽  
pp. 4963-4975 ◽  
Author(s):  
Jonathan S. Caplan ◽  
Alex H. Williams ◽  
Eve Marder
Keyword(s):  
Multicompartment Model ◽  
Model Oscillator

scholarly journals A Model Oscillator of Irregular Stellar Variability

1988 ◽  
Vol 108 ◽  
pp. 195-196
Author(s):  
Mine Takeuti ◽  
Yasuo Tanaka
Keyword(s):  
Nonlinear Dynamics ◽  
Equilibrium State ◽  
Mass Loss ◽  
Period Doubling ◽  
Single Model ◽  
Giant Stars ◽  
Stellar Pulsation ◽  
Red Giant Stars ◽  
Red Giant ◽  
Model Oscillator

Stellar pulsation is one of the condidates for strong mass loss from red giant stars. Recent investigations have shown sporadic outbursts of the pulsation can eject a considerable mass from the stars. Such a sporadic increase of the amplitudes seems to have a connection with the irregularity found in the pulsations. Recently the iregular propreties in stellar pulsation are investigated in the relation to nonlinear dynamics (see for instance Perdang, 1985). Unfortunately no single model oscillator of a star of which the equilibrium state is dynamically stable had been found. In the present paper, we shall discuss a simple oscillator which shows period-doubling and chaotic, that is, irregular oscillations.

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