Asymptotically Stable Oscillations in Systems with Hysteresis Nonlinearities

M. Brokate; A. V. Pokrovskii

doi:10.1006/jdeq.1998.3492

Asymptotically Stable Oscillations in Systems with Hysteresis Nonlinearities

M. Brokate
, A. V. Pokrovskii

Christian-Albrechts-University of Kiel
University College Cork

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

We present some sufficient conditions for the asymptotic stability of oscillations in nonlinear ODE systems with respect to small hysteretic perturbations.

Original language	English
Pages (from-to)	98-123
Number of pages	26
Journal	Journal of Differential Equations
Volume	150
Issue number	1
DOIs	https://doi.org/10.1006/jdeq.1998.3492
State	Published - 20 Nov 1998
Externally published	Yes

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title = "Asymptotically Stable Oscillations in Systems with Hysteresis Nonlinearities",

abstract = "We present some sufficient conditions for the asymptotic stability of oscillations in nonlinear ODE systems with respect to small hysteretic perturbations.",

author = "M. Brokate and Pokrovskii, \{A. V.\}",

note = "Funding Information: * Permanent address: Institute of Information Transmission Problems, Russian Academy of Science, Moscow. This paper was partially written when A. Prokrovski@\$ was working at Deakin University and was supported by the School of Computing 6 Mathematics. Funding Information: We to thank Pavel Krejc@ for useful discussions. This research has been supported by the Australian Research Council Grant A 8913 2609.",

year = "1998",

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doi = "10.1006/jdeq.1998.3492",

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AU - Brokate, M.

AU - Pokrovskii, A. V.

N1 - Funding Information: * Permanent address: Institute of Information Transmission Problems, Russian Academy of Science, Moscow. This paper was partially written when A. Prokrovski@$ was working at Deakin University and was supported by the School of Computing 6 Mathematics. Funding Information: We to thank Pavel Krejc@ for useful discussions. This research has been supported by the Australian Research Council Grant A 8913 2609.

PY - 1998/11/20

Y1 - 1998/11/20

N2 - We present some sufficient conditions for the asymptotic stability of oscillations in nonlinear ODE systems with respect to small hysteretic perturbations.

AB - We present some sufficient conditions for the asymptotic stability of oscillations in nonlinear ODE systems with respect to small hysteretic perturbations.

UR - https://www.scopus.com/pages/publications/0037488558

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DO - 10.1006/jdeq.1998.3492

M3 - Article

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VL - 150

SP - 98

EP - 123

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 1

ER -

Asymptotically Stable Oscillations in Systems with Hysteresis Nonlinearities

Abstract

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