ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Kaschenko D. S., Moegel A., Schwarz W. Dynamics of first order differential equation with nonlinear step-like delayed feedback. Izvestiya VUZ. Applied Nonlinear Dynamics, 1998, vol. 6, iss. 6, pp. 3-19. DOI: 10.18500/0869-6632-1998-6-6-3-19

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
517.926
DOI: 
10.18500/0869-6632-1998-6-6-3-19

Dynamics of first order differential equation with nonlinear step-like delayed feedback

Autors: 
Kaschenko Dmitrij Sergeevich, P. G. Demidov Yaroslavl State University
Moegel Andreas, Technische Universität Dresden
Schwarz Wolfgang, Technische Universität Dresden
Abstract: 

We investigate important for applications classes of first order differential equations with nonlinear step—like delayed feedback. Analytical and numeric—analytical methods have been used to study the nonlocal dynamics of such equations. An approach based on asymptotical analysis made possible to study attractors consisting of solutions of impulse type. Numerical characteristics of nonregular oscillations have been obtained and their dependence on delay time have been described.

Key words: 
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Acknowledgments: 
The work was supported by the RFBR № 97-01-00399.
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Received: 
16.12.1998
Accepted: 
25.01.1999
Published: 
10.04.1999
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