Canard Explosion and Relaxation Oscillation in Planar, Piecewise-Smooth, Continuous Systems

Andrew Roberts

doi:10.1137/140998147

Canard Explosion and Relaxation Oscillation in Planar, Piecewise-Smooth, Continuous Systems

SIAM Journal on Applied Dynamical Systems ◽

10.1137/140998147 ◽

2016 ◽

Vol 15 (1) ◽

pp. 609-624 ◽

Cited By ~ 2

Author(s):

Andrew Roberts

Keyword(s):

Relaxation Oscillation ◽

Piecewise Smooth ◽

Continuous Systems

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Relaxation oscillation in planar discontinuous piecewise smooth fast–slow systems

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/5.0048340 ◽

2022 ◽

Vol 32 (1) ◽

pp. 013104

Author(s):

Pedro Toniol Cardin

Keyword(s):

Relaxation Oscillation ◽

Piecewise Smooth

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Aspects of bifurcation theory for piecewise-smooth, continuous systems

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2011.05.002 ◽

2012 ◽

Vol 241 (22) ◽

pp. 1861-1868 ◽

Cited By ~ 21

Author(s):

D.J.W. Simpson ◽

J.D. Meiss

Keyword(s):

Bifurcation Theory ◽

Piecewise Smooth ◽

Continuous Systems

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Bifurcations in Piecewise-Smooth Continuous Systems

10.1142/7612 ◽

2010 ◽

Cited By ~ 40

Author(s):

David John Warwick Simpson

Keyword(s):

Piecewise Smooth ◽

Continuous Systems

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Fundamentals of Piecewise-Smooth, Continuous Systems

Bifurcations in Piecewise-Smooth Continuous Systems - World Scientific Series on Nonlinear Science Series A ◽

10.1142/9789814293853_0001 ◽

2010 ◽

pp. 1-32

Keyword(s):

Piecewise Smooth ◽

Continuous Systems

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Approximation properties of repeated de la Vallée-Poussin means for piecewise smooth functions

Sibirskii matematicheskii zhurnal ◽

10.33048/smzh.2019.60.316 ◽

2017 ◽

Vol 60 (3) ◽

pp. 695-713

Author(s):

I. I. Sharapudinov ◽

T. I. Sharapudinov ◽

M. G. Magomed-Kasumov

Keyword(s):

Piecewise Smooth ◽

Approximation Properties ◽

Smooth Functions ◽

Piecewise Smooth Functions

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Adaptive Controller for Continuous Systems with Internal and External Point Delays

1993 American Control Conference ◽

10.23919/acc.1993.4793037 ◽

1993 ◽

Author(s):

M. de la Sen

Keyword(s):

Adaptive Controller ◽

Continuous Systems ◽

External Point ◽

Point Delays

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Most possible qualitative behaviors of continuous systems

1997 European Control Conference (ECC) ◽

10.23919/ecc.1997.7082515 ◽

1997 ◽

Cited By ~ 1

Author(s):

Z. Zhuang ◽

P. M. Frank

Keyword(s):

Continuous Systems

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Adaptive Edge Detectors for Piecewise Smooth Data Based on the Minmod Limiter

10.21236/ada448179 ◽

2005 ◽

Cited By ~ 1

Author(s):

Anne Gelb ◽

Eitan Tadmor

Keyword(s):

Piecewise Smooth ◽

Edge Detectors ◽

Smooth Data

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ANNULAR PLATE DAMPERS ATTACHED TO CONTINUOUS SYSTEMS

Journal of Sound and Vibration ◽

10.1006/jsvi.1996.0155 ◽

1996 ◽

Vol 191 (5) ◽

pp. 781-793 ◽

Cited By ~ 5

Author(s):

A. Arpaci

Keyword(s):

Annular Plate ◽

Continuous Systems

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Discontinuity-induced bifurcations in a piecewise-smooth capsule system with bidirectional drifts

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2021.105909 ◽

2021 ◽

pp. 105909

Author(s):

Bingyong Guo ◽

Joseph Páez Chávez ◽

Yang Liu ◽

Caishan Liu

Keyword(s):

Piecewise Smooth

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