Simulation of Synchronization of Nonlinear Oscillators by the External Field

Kuklin, V.M.; Litvinov, D. N.; Sevidov, S. M.; Sporov, A. E.

doi:10.26565/2312-4334-2017-1-07

Cited by 9 publications

(10 citation statements)

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“…A high probability of the occurrence of phase synchronization, and as a result, the occurrence of instability, arises when the ensemble of oscillators is subjected to an external synchronizing field. The mechanisms of such external synchronization are currently well studied (see, for example, [7][8][9]).…”

Section: Discussionmentioning

confidence: 99%

Instability of the System of Charged Particles in the External Constant Magnetic Field

Buts¹,

Vavriv²

2022

Problems of Atomic Science and Technology

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The results of studying the features of the dynamics of a system of charged particles (electrons) in an external magnetic field are described. The considered model practically coincides with the model of an ideal plasma. The electrons of such a plasma rotate at the cyclotron frequency. The rotation of charged particles leads to the emission of electromagnetic waves. The field strength of these radiated waves is very low. Therefore, usually these fields are neglected. In this work, these fields are taken into account. It is shown that with an increase in the oscillator density, oscillatory instability can develop. The dynamics of phase synchronization of these oscillators is traced. The conditions are found under which the oscillatory instability can be suppressed. Key words: oscillators, phase synchronization, plasma, instability

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Section: Discussionmentioning

confidence: 99%

Instability of the System of Charged Particles in the External Constant Magnetic Field

Buts¹,

Vavriv²

2022

Problems of Atomic Science and Technology

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“…It is clear that thereby it is possible to take into account the direct interaction of the oscillators with each other. Here you cannot take into account the external initial field (11), the role of which will be assumed by the resonator field (4)- (5). The equation of motion for oscillators can be written in the form 2…”

Section: The Excitation Of the Resonator Field When Taking Into Accou...mentioning

confidence: 99%

On Accounting for Own Fields of Emitters when Describing Generation Modes

Kuklin,

Poklonskiy

2023

East Eur. J. Phys.

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The paper discusses three different modes of electromagnetic field generation by an ensemble of oscillators placed at the radiation wavelength in the one-dimensional case. The excitation of the resonator field is considered, which, as a rule, is determined by the geometry of the system, with and without taking into account the eigenfields of the emitters. The superradiance regime of the same ensemble of oscillators is also analyzed. In fact, superradiance is formed due to the emitters' own fields even in the absence of a resonator. It is noted that the maximum achievable amplitudes of induced fields both in the superradiance regime and in the regime of excitation of the resonator field are comparable. This makes us think about the role of the self-fields of emitters in electronic devices. It is shown that in describing the resonator excitation mode, in addition to the resonator field, it is also necessary to take into account the sum of the natural fields of the emitters in the active zone. Synchronization of emitters leads not only to an increase in the resonator field, but also, as in the superradiance regime, it significantly increases the amplitude of the sum of the oscillator fields. It is shown that in the practically interesting case of open systems (dissipative generation modes), taking into account the eigenfields of the emitters significantly reduces the characteristic time for the development of the generation process and increases the maximum achievable oscillation amplitude. This account also changes the conditions for achieving the maximum energy flow from the system. This can change the operating point of the generation process, which is determined by the requirement for the maximum rate of energy output from the system.

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“…In this case, the oscillators did not interact directly with each other, but only through the resonator field common to the system. The mechanism of phase synchronization of the radiation of such oscillators by a waveguide-resonator field was discussed in [7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Superradiation of Classical Oscillators at Constant Pumping

Poklonskiy¹,

Totkal²

2022

Problems of Atomic Science and Technology

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The dependence of the generation efficiency in the superradiance regime of an ensemble of oscillators on the pump energy input rate, as well as on the characteristics of the change in the pump phase, is studied. It is assumed that the pumping phase can vary both in time and in space. The most efficient pumping method remains the mode with slow energy input into the system, in comparison with the characteristic generation time, and the nature of the distribution of the field phase along the system can be either random or with a certain spatial period, but slightly changing with time.

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Simulation of Synchronization of Nonlinear Oscillators by the External Field

Cited by 9 publications

References 0 publications

Instability of the System of Charged Particles in the External Constant Magnetic Field

Instability of the System of Charged Particles in the External Constant Magnetic Field

On Accounting for Own Fields of Emitters when Describing Generation Modes

Superradiation of Classical Oscillators at Constant Pumping

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