Canard cycles with three breaking mechanisms

Magdalena Caubergh; Robert Roussarie

doi:10.1007/978-3-319-31323-8_4

Canard cycles with three breaking mechanisms

Magdalena Caubergh, Robert Roussarie

Department of Mathematics

Research output: Chapter in Book › Chapter › Research › peer-review

1 Citation (Scopus)

Abstract

© Springer International Publishing Switzerland 2016. This article deals with relaxation oscillations from a generic balanced canard cycle Γ subject to three breaking parameters of Hopf or jump type. We prove that in a rescaled layer of Γ there bifurcate at most five relaxation oscillations.

Original language	English
Title of host publication	Springer Proceedings in Mathematics and Statistics
Pages	61-77
Number of pages	16
Volume	157
ISBN (Electronic)	2194-1017
DOIs	https://doi.org/10.1007/978-3-319-31323-8_4
Publication status	Published - 1 Jan 2016

Keywords

Balanced
Bifurcating limit cycle
Breaking parameter
Cyclicity
Relaxation oscillations
Rescaled layer
n-multi-layer canard cycle

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10.1007/978-3-319-31323-8_4

https://ddd.uab.cat/record/221040

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title = "Canard cycles with three breaking mechanisms",

abstract = "{\textcopyright} Springer International Publishing Switzerland 2016. This article deals with relaxation oscillations from a generic balanced canard cycle Γ subject to three breaking parameters of Hopf or jump type. We prove that in a rescaled layer of Γ there bifurcate at most five relaxation oscillations.",

keywords = "Balanced, Bifurcating limit cycle, Breaking parameter, Cyclicity, Relaxation oscillations, Rescaled layer, n-multi-layer canard cycle",

author = "Magdalena Caubergh and Robert Roussarie",

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doi = "10.1007/978-3-319-31323-8_4",

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T1 - Canard cycles with three breaking mechanisms

AU - Caubergh, Magdalena

AU - Roussarie, Robert

PY - 2016/1/1

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N2 - © Springer International Publishing Switzerland 2016. This article deals with relaxation oscillations from a generic balanced canard cycle Γ subject to three breaking parameters of Hopf or jump type. We prove that in a rescaled layer of Γ there bifurcate at most five relaxation oscillations.

AB - © Springer International Publishing Switzerland 2016. This article deals with relaxation oscillations from a generic balanced canard cycle Γ subject to three breaking parameters of Hopf or jump type. We prove that in a rescaled layer of Γ there bifurcate at most five relaxation oscillations.

KW - Balanced

KW - Bifurcating limit cycle

KW - Breaking parameter

KW - Cyclicity

KW - Relaxation oscillations

KW - Rescaled layer

KW - n-multi-layer canard cycle

U2 - 10.1007/978-3-319-31323-8_4

DO - 10.1007/978-3-319-31323-8_4

M3 - Chapter

SN - 2194-1009

VL - 157

SP - 61

EP - 77

BT - Springer Proceedings in Mathematics and Statistics

ER -

Canard cycles with three breaking mechanisms

Abstract

Keywords

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