**Abstract.** It is continued the
investigation of task about excitation of forced nonlinear vibrations of
magnetization and elastic displacement in normal magnetized ferrite plate
having magnetoelastic properties. The investigation is made on basis of two
connected oscillators – nonlinear magnetic and linear elastic. For the
explanation of the vibrations in this system development it is proposed the
model of dynamical potential. It is investigated the different vibration
regimes by the variation of nonlinear connection parameter. It is made the
classification of realized regimes by the value of amplitude of excited
vibrations. It is shown that from total aggregate of observed vibrations may be
selected two large groups of regimes: small-amplitude and high-amplitude. It is
investigated the development of vibrations in typical high-amplitude regimes.
It is investigated the case of small degree of nonlinear connection. It is
shown that by the nonlinear connection parameter increasing it is successive
realized next regimes: two-steps delay with high chaotic component, saw-liked
vibrations of amplitude and regular establishment. It if found the considerable
scattering of delay time by small variations of nonlinear connection parameter
which having the fractal-similarity character. It is found the effect of first
oscillator self-influence on own vibrations through of second oscillator
participation. By way of influence mechanism it is proposed the positive
reverse connection model which lead to avalanche-liked increasing of vibrations
amplitude. It is shown that the restriction of this increasing is realized by
the cubic nonlinearity of system. It is investigated the case of middle degree
of nonlinear connection. It is shown that by the nonlinear connection parameter
increasing it is successive realized next regimes: two-steps delay with high
chaotic component, saw-liked vibrations of amplitude, regular establishment and
smooth saturation. It is shown that the amplitude establishment value is
completely correspond to dynamical potential model. It is investigated the case
of high degree of nonlinear connection. It is shown that in this case for the
high-amplitude regimes realization it is necessary the establishment of enough
high initial deflection of first oscillator displacement or enough high
amplitude of excitation signal. It is shown that in the case of initial
deflection establishment by nonlinear connection parameter increasing it is
successive realized next high-amplitude regimes: two-steps delay with high chaotic
component, asynchronous sinusoid and regular establishment. It is investigated
the realization of high-amplitude regimes by the assign of enough high
amplitude of excitation signal. It is shown that the necessary condition of
first delay of vibrations excitation realization is zero value of initial
displacement of both oscillators. In concluding part of paper it is mentioned
some additional questions of this work development.

**Key words:** nonlinear vibrations,
magnetoelastic interaction, potential.

References

1. Ivanov
A.P., Shavrov V.G., Shcheglov V.I. The non-stationary delay of magnetoelastic
vibrations excitation in regime of frequency multiplication. Part 1. Dynamical
potential. *Zhurnal Radio electroniki – Journal of Radio Electronic*s. 2017. ¹7.
Available at:
http://jre.cplire.ru/jre/jul17/6/text.pdf (In Russian).

2. Ivanov
A.P., Shavrov V.G., Shcheglov V.I. The non-stationary delay of magnetoelastic
vibrations excitation in regime of frequency multiplication. Part 2. Linear connection.
*Zhurnal Radio electroniki – Journal of Radio Electronics*. 2017. ¹8. Available at:
http://jre.cplire.ru/jre/aug17/5/text.pdf
(In Russian).

3. Vlasov
V.S., Kotov L.N., Shavrov V.G., Shcheglov V.I. Nonlinear excitation of hypersound
in a ferrite plate under the ferromagnetic-resonance conditions. *Journal of Communications
Technology and Electronics*. 2009. V.54. ¹7. P.821-832. DOI:
10.1134/S1064226909070110

4.Vlasov V.S.,
Shavrov V.G., Shcheglov V.I. The Nonlinear Excitation of Hypersound in Bilayer
Ferrite Structure. Z*hurnal Radio electroniki – Journal of Radio Electronics*.
2013. ¹2. Available at:
http://jre.cplire.ru/jre/feb13/10/text.pdf
(In Russian).

5. Vlasov
V.S., Ivanov A.P., Shavrov V.G., Shcheglov V.I. The application of connected oscillators
model to the analysis of magnetostriction transducer functioning. Proceedings
of XXI International conference “Electromagnetic fields and materials”. Moscow, NIU
MEI Publ., 2013. P.199-215. (In Russian).

6. Vlasov
V.S., Ivanov A.P., Shavrov V.G., Shcheglov V.I. Application of the model of
coupled oscillators in the analysis of the nonlinear excitation of hypersound
in a ferrite plate under ferromagnetic resonance. Part 1. Basic equations.
*Journal
of Communications Technology and Electronics*. 2015. V.60. ¹1. P.75-86. DOI:
10.1134/S1064226915010118

7. Vlasov
V.S., Ivanov A.P., Shavrov V.G., Shcheglov V.I. Application of the model of
coupled oscillators in the analysis of the nonlinear excitation of hypersound
in a ferrite plate under ferromagnetic resonance. Part 2. Nonlinear effects.
*Journal of Communications Technology and Electronics*. 2015. V.60. ¹3.
P.280-293.

8. Vlasov V.S.,
Ivanov A.P., Shavrov V.G., Shcheglov V.I. The analysis of linear hypersoumd
vibrations of magnetostriction transducer based on connected oscillators model.
*Zhurnal Radio electroniki – Journal of Radio Electronics*. 2013. ¹11.
Available at:
http://jre.cplire.ru/jre/nov13/3/text.pdf
(In Russian).

9. Vlasov V.S.,
Ivanov A.P., Shavrov V.G., Shcheglov V.I. The analysis of nonlinear hypersound
vibrations excitation of magnetostriction transducer based on connected oscillators
model in quadratic approximation. *Zhurnal Radio electroniki – Journal of
Radio Electronic*s. 2014. ¹1. Available at:
http://jre.cplire.ru/jre/jan14/11/text.pdf
(In Russian).

10. Vlasov
V.S., Shavrov V.G., Shcheglov V.I. Nonlinear hypersound vibrations of
magnetostriction transducer on the frequencies, having multiple part of excitation
frequency. /Part 1. The division of frequency. *Zhurnal Radio electroniki –
Journal of Radio Electronics*. 2015. ¹9. Available at:
http://jre.cplire.ru/jre/sep15/4/text.pdf
(In Russian).

11. Vlasov
V.S., Shavrov V.G., Shcheglov V.I. Nonlinear hypersound vibrations of
magnetostriction transducer on the frequencies, having multiple part of excitation
frequency. Part 2. The multiplication of frequency. *Zhurnal Radio
electroniki – Journal of Radio Electronics*. 2015. ¹10. Available at:
http://jre.cplire.ru/jre/oct15/1/text.pdf
(In Russian).