The effect of dissipation on the structure of quasi-solitonic states of nonlinear magnetically ordered media under high-frequency point influence

Spatially localized excitation of a one-dimensional magnetic system in an external high-frequency field is studied analytically (collective variable method) and numerically. The dependences of the amplitude of local quasi-soliton states on the amplitude of this field for different frequencies and damping in the system are found for the case of direct application of a localized magnetic field. The field dependence is found to have hysteresis and “instability windows” in the stationary states. Within these instability regions, the excitations become nonstationary: they are accompanied by additional periodic nutation of the magnetization vector. Here such nonlinear dynamics phenomena as period doubling and transitions to chaos are observed.

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Properties of quasi-soliton states in nonlinear media under local high-frequency irradiation. Analytic description and comparison with numerical simulations

Belan

Kovalev

Peretyatko

2016

Low Temperature Physics

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Nonlinear dynamics of the magnet with localized high-frequency external impact

Kovalev

Peretyatko

2022

Low Temperature Physics

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The stability of quasi-soliton excitations localized in a magnet near the region of excitation by a high-frequency external field has been studied within the framework of two models. They include nonlinear regions strongly excited by external pumping and regions of subsystems interacting with them, considered in the linear approximation. In the first model, the linear region is considered in the long-wavelength approximation for a system of finite length with distributed parameters. The second model considers a finite-dimensional system of coupled two linear and nonlinear magnetic moments under point pumping conditions. The similarity of the results of the two models is demonstrated. The existence of two regions of instability is shown: exponential and oscillatory, and their parameters are calculated. In both cases, the transition to the nonlinear regime of instability is accompanied by the formation of a train of nonlinear excitations of the type of “temporary” solitons of different nature. The nonlinear evolution of the instability leads to the transition of the system to a new stable state in the case of exponential instability, and the state of a stable limit cycle in the region of oscillatory instability.

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The effect of dissipation on the structure of quasi-solitonic states of nonlinear magnetically ordered media under high-frequency point influence

Cited by 2 publications

References 11 publications

Properties of quasi-soliton states in nonlinear media under local high-frequency irradiation. Analytic description and comparison with numerical simulations

Properties of quasi-soliton states in nonlinear media under local high-frequency irradiation. Analytic description and comparison with numerical simulations

Nonlinear dynamics of the magnet with localized high-frequency external impact

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