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1
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The Yang-Mills fields - from the gauge theory to the mechanical model

100%
Constantinescu R., Ionescu C.
Open Physics
|
2009
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vol. 7
|
issue 4
711-720
EN
The paper presents some mechanical models of gauge theories, i.e. gauge fields transposed in a space with a finite number of degree of freedom. The main focus is on how a global symmetry as the BRST one could be transferred in this context. The mechanical Yang-Mills model modified by taking the ghost type variables into account will be considered as an example of nonlinear dynamical systems.
2
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Nonlinear double-beam system dynamics

100%
Koziol P., Pilecki R., Koziol P., Pilecki R.
Archives of Civil Engineering
|
2021
|
vol. 67
|
issue 2
3
Content available remote

Dynamics of a backlash chain

100%
Machado J.
Open Physics
|
2013
|
vol. 11
|
issue 10
1268-1274
EN
This paper studies the dynamical properties of a system with distributed backlash and impact phenomena. This means that it is considered a chain of masses that interact with each other solely by means of backlash and impact phenomena. It is observed the emergence of non-linear phenomena resembling those encountered in the Fermi-Pasta-Ulam problem.
4
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Mathematical modeling of traveling autosolitons in fractional-order activator-inhibitor systems

88%
Datsko B., Gafiychuk V.
Bulletin of the Polish Academy of Sciences: Technical Sciences
|
2018
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issue 4
5
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Chaos synchronization of uncertain coronary artery systems through sliding mode

88%
Qian D. W., Xi Y. F., Tong S. W.
Bulletin of the Polish Academy of Sciences: Technical Sciences
|
2019
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issue 3
6
Content available remote

Phase transitions in the adsorbed molecular chains

75%
Lykah V., Syrkin E.
Open Physics
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2005
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vol. 3
|
issue 1
61-68
EN
Rotational excitations of molecular adsorbed layers are studied theoretically. Nonlinear dynamical equations are obtained with accounting of quadrupolar interactions between molecules and freezing of translational degrees of freedom. The equilibrium positions of the molecules are found to be experimentally observed structures with alternating rotational ordering of planar rotors along the direction to the nearest neighbor (for linear or square structures) under low temperature. Dynamical analysis gives an integral of motion (energy) of the chain that in the long-wave limit leads consequently to the existence of four phases. The first one corresponds to oscillations near equilibrium ordered states. The second phase corresponds to low-energy rotational excitations along ‘valleys’ (easy directions in the effective potential) that do not destroy strong correlations between molecules while structural data can show rotational disorder (melting). The third phase corresponds to an energy that is enough to travel between ‘valleys’; only some ‘islands’ in the angle space are forbidden. Complete destruction of correlation when the energy is over the peaks of the effective potential corresponds to the fourth phase. Therefore rotational melting is a complex phenomenon that has several stages.
7
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Control of complex dynamic nonlinear loading process for electromagnetic mill

75%
Ogonowski S., Bismor D., Ogonowski Z., Ogonowski S., Bismor D., Ogonowski Z.
|
2020
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vol. 30
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issue 3
8
Content available remote

Non-coding RNAs and a layered architecture of genetic networks

75%
Zhdanov V.
Open Physics
|
2010
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vol. 8
|
issue 6
864-872
EN
In eukaryotic cells, protein-coding sequences constitute a relatively small part of the genome. The rest of the genome is transcribed to non-coding RNAs (ncRNAs). Such RNAs form the cornerstone of a regulatory network that operates in parallel with the protein network. Their biological functions are based primarily on the ability to pair with and deactivate target messenger RNAs (mRNAs). To clarify the likely role of ncRNAs in complex genetic networks, we present and comprehensively analyze a kinetic model of one of the key counterparts of the network architectures. Specifically, the genes transcribed to ncRNAs are considered to interplay with a hierarchical two-layer set of genes transcribed to mRNAs. The genes forming the bottom layer are regulated from the top and negatively self-regulated. If the former regulation is positive, the dependence of the RNA populations on the governing parameters is found to be often non-monotonous. Specifically, the model predicts bistability. If the regulation is negative, the dependence of the RNA populations on the governing parameters is monotonous. In particular, the population of the mRNAs, corresponding to the genes forming the bottom layer, is nearly constant.
9
Content available remote

Interplay of viral miRNAs and host mRNAs and proteins

75%
Zhdanov V.
Open Physics
|
2011
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vol. 9
|
issue 5
1366-1371
EN
Recent experiments indicate that several viruses may encode microRNAs (miRNAs) in cells. Such RNAs may interfere with the host mRNAs and proteins. We present a kinetic analysis of this interplay. In our treatment, the viral miRNA is considered to be able to associate with the host mRNA with subsequent degradation. This process may result in a decline of the mRNA population and also in a decline of the population of the protein encoded by this mRNA. With these ingredients, we first show the types of the corresponding steady-state kinetics in the cases of positive and negative regulation of the miRNA synthesis by the protein. In addition, we scrutinize the situation when the protein regulates the virion replication or, in other words, provides a feedback for the replication. For the negative feedback, the replication rate is found to increase with increasing the intracellular virion population. For the positive feedback, the replication rate first increases and then drops. These features may determine the stability of steady states.
10
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Applying a fractional coil model for power system ferroresonance analysis

63%
Majka Ł.
Bulletin of the Polish Academy of Sciences: Technical Sciences
|
2018
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issue 4
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