Dissipative Model of Double Mathematical Pendulum with Noncollinear Joints

2021 ◽  
pp. 38-47
Author(s):  
Alexey S. Smirnov ◽  
Boris A. Smolnikov
Keyword(s):  
Mathematical Pendulum ◽  
Dissipative Model

MACH-ZEHNDER INTERFEROMETER IN THE INTEGER QUANTUM HALL REGIME: A QUANTUM DISSIPATIVE MODEL

2009 ◽  
Vol 23 (12n13) ◽  
pp. 2927-2932
Author(s):  
E. A. ASANO
Keyword(s):  
Quantum Hall ◽  
Zehnder Interferometer ◽  
The Novel ◽  
Quantum Dissipation ◽  
Quantum Hall Regime ◽  
Hall Regime ◽  
Frequency Independent ◽  
Integer Quantum ◽  
Dissipative Model ◽  
Mach Zehnder Interferometer

We study properties of the simplest type of electron interferometer, the Mach-Zehnder Interferometer (MZI) in the Integer Quantum Hall (IQH) regime. In this work, in order to analyse the novel experimental results reported by I. Neder et al. [Phys. Rev. Lett.96, 016804 (2006)] which makes questionable the validity of Landauer-Buttiker formalism in the IQH regime, we have derived expressions for tunneling currents through the electronic MZI system whithin the model of quantum dissipation induced by an environment. In this model the MZI system is coupled to a dissipative environment, where the dissipation is introduced by coupling the MZI system to a frequency-independent Ohmic impedance Z(ω) = R.

Application of modified Mickens iteration procedure to a pendulum and the motion of a mass attached to a stretched elastic wire

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Amin Gholami ◽  
Davood D. Ganji ◽  
Hadi Rezazadeh ◽  
Waleed Adel ◽  
Ahmet Bekir
Keyword(s):  
Approximate Solution ◽  
Nonlinear Vibrations ◽  
Nonlinear Problems ◽  
Iterative Approach ◽  
Mathematical Pendulum ◽  
Science And Engineering ◽  
Strongly Nonlinear ◽  
Strongly Nonlinear System ◽  
Strong Candidate ◽  
Iteration Technique

Abstract The paper deals with the application of a strong method called the modified Mickens iteration technique which is used for solving a strongly nonlinear system. The system describes the motion of a simple mathematical pendulum with a particle attached to it through a stretched wire. This model has great applications especially in the area of nonlinear vibrations and oscillation systems. The proposed method depends on determining the frequency and amplitude of the system through the modified Mickens iterative approach which is a modification of the regular Mickens approach. The preliminaries of the proposed technique are present and the application to the model is discussed. The method depends on the Mickens iteration approach which transforms the considered equation into a linear form and then is solving this equation result in the approximate solution. Some examples are given to validate and illustrate the effectiveness and convenience of the method. These results are compared with other relative techniques from the literature in terms of finding the frequency of the two examined models. The method produces more accurate results when compared to these methods and is considered a strong candidate for solving other nonlinear problems with applications in science and engineering.

scholarly journals THE INVESTIGATION OF DYNAMICS OF MISALIGNED UNITS IN VEHICLE TRANSMISSION

Transport ◽  
2002 ◽  
Vol 17 (6) ◽  
pp. 226-229
Author(s):  
Vytautas Turla ◽  
Igor Iljin
Keyword(s):  
Radial Direction ◽  
Parameter Method ◽  
Free Oscillations ◽  
Small Parameter Method ◽  
Mathematical Pendulum ◽  
Rotational Movement ◽  
Double Frequency ◽  
Shaft System ◽  
Small Parameters ◽  
Moment Of Resistance

In the article the problems related to the dynamics of a mechanic system on misalignment of shafts in radial direction are presented. The object of the investigation is a two-shaft system connected with an elastic centrifugal ring coupling. Using equations of static equilibrium it was found that an internal moment of resistance to rotation appears in the coupling connecting the radially misaligned shafts. Using Dalamber's principle for the rotational movement the differential equation that describes the rotation of the second shaft has been developed. It was shown that after the perfonnance of the corresponding actions and the introduction of a new variable the said equation is transformed in to an equation which character virtually coincides with the equation describing free oscillations of a mathematical pendulum. Because the value of misalignment of shafts in the radial direction is small in comparison with other parameters, a small parameter method was used for the solution of this equation. The found solutions show that rotational vibrations with the double frequency of rotational movement are excited in the misaligned mechanical system with an elastic centrifugal ring coupling. The restrictions ofthe application of a small parameters method have been explored and the limits of its application have been found.

TROVANTS OF THE LENA RIVER: HYPOTHESIS AND FORMATION MODEL

2021 ◽  
pp. 97-112
Keyword(s):  
Formation Model ◽  
Lena River ◽  
Cemented Sands ◽  
Dissipative Model

Unusual nodule formations have long been known in the steep banks of the Lena River and its tributaries. Their belonging to the category of Trovants (trovantogenesis) has been established. It is shown that trovants formation (trovantogenesis) is a process of specific transformation of cemented sands to varying degrees in platform and sub-platform environments. The hypothesis expressed by Romanian geologists about the pseudo-concretionary nature of the trovants has been confirmed. The aqua-dissipative model of their genesis is proposed. The variant of genetic сlassification of small geological bodies wherein trovants are classified as a consistent type is discussed.

scholarly journals COHERENT STATES, FRACTALS AND BRAIN WAVES

2009 ◽  
Vol 05 (01) ◽  
pp. 245-264 ◽  
Author(s):  
GIUSEPPE VITIELLO
Keyword(s):  
Coherent States ◽  
Action Perception ◽  
Self Similarity ◽  
Memory State ◽  
Functional Representation ◽  
Power Spectral ◽  
Power Spectral Densities ◽  
The One ◽  
Power Law Distributions ◽  
Dissipative Model

I show that a functional representation of self-similarity (as the one occurring in fractals) is provided by squeezed coherent states. In this way, the dissipative model of brain is shown to account for the self-similarity in brain background activity suggested by power-law distributions of power spectral densities of electrocorticograms. I also briefly discuss the action-perception cycle in the dissipative model with reference to intentionality in terms of trajectories in the memory state space.

scholarly journals An Inertial Model of the Interaction of Ekman Layers and Planetary Islands

2013 ◽  
Vol 43 (7) ◽  
pp. 1398-1406
Author(s):  
Joseph Pedlosky
Keyword(s):  
Nonlinear Model ◽  
Model Problem ◽  
Three Dimensional ◽  
Ekman Layer ◽  
Ekman Transport ◽  
Complex Flow ◽  
Ekman Layers ◽  
Principal Effect ◽  
Quasigeostrophic Model ◽  
Dissipative Model

Abstract An adiabatic, inertial, and quasigeostrophic model is used to discuss the interaction of surface Ekman transport with an island. The theory extends the recent work of Spall and Pedlosky to include an analytical and nonlinear model for the interaction. The presence of an island that interrupts a uniform Ekman layer transport raises interesting questions about the resulting circulation. The consequential upwelling around the island can lead to a local intake of fluid from the geostrophic region beneath the Ekman layer or to a more complex flow around the island in which the fluid entering the Ekman layer on one portion of the island's perimeter is replaced by a flow along the island's boundary from a downwelling region located elsewhere on the island. This becomes especially pertinent when the flow is quasigeostrophic and adiabatic. The oncoming geostrophic flow that balances the offshore Ekman flux is largely diverted around the island, and the Ekman flux is fed by a transfer of fluid from the western to the eastern side of the island. As opposed to the linear, dissipative model described earlier, this transfer takes place even in the absence of a topographic skirt around the island. The principal effect of topography in the inertial model is to introduce an asymmetry between the circulation on the northern and southern sides of the island. The quasigeostrophic model allows a simple solution to the model problem with topography and yet the resulting three-dimensional circulation is surprisingly complex with streamlines connecting each side of the island.

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