Big bang bifurcations in a first order systems with a relay

Enric  Fossas; Albert Granados

Big bang bifurcations in a first order systems with a relay

Enric Fossas, Albert Granados

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

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Abstract

In this work we describe the bifurcation scenario found in a general first order system when a relay based proportional control is considered. We show the existence of a big bang bifurcation causing the existence of an infinite number of period orbits near a co-dimension two bifurcation point.

Original language	English
Title of host publication	Proceedings of the 11th Conference on Dynamical Systems Theory and Applications (DSTA 2011)
Number of pages	6
Publication date	2011
Publication status	Published - 2011
Externally published	Yes
Event	11th Conference on Dynamical Systems Theory and Applications (DSTA 2011) - Lódz, Poland Duration: 5 Dec 2011 → 8 Dec 2011 Conference number: 11

Conference

Conference	11th Conference on Dynamical Systems Theory and Applications (DSTA 2011)
Number	11
Country	Poland
City	Lódz
Period	05/12/2011 → 08/12/2011

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title = "Big bang bifurcations in a first order systems with a relay",

abstract = "In this work we describe the bifurcation scenario found in a general first order system when a relay based proportional control is considered. We show the existence of a big bang bifurcation causing the existence of an infinite number of period orbits near a co-dimension two bifurcation point.",

author = "Enric Fossas and Albert Granados",

year = "2011",

language = "English",

booktitle = "Proceedings of the 11th Conference on Dynamical Systems Theory and Applications (DSTA 2011)",

note = "11th Conference on Dynamical Systems Theory and Applications (DSTA 2011), DSTA ; Conference date: 05-12-2011 Through 08-12-2011",

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T1 - Big bang bifurcations in a first order systems with a relay

AU - Fossas, Enric

AU - Granados, Albert

N1 - Conference code: 11

PY - 2011

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N2 - In this work we describe the bifurcation scenario found in a general first order system when a relay based proportional control is considered. We show the existence of a big bang bifurcation causing the existence of an infinite number of period orbits near a co-dimension two bifurcation point.

AB - In this work we describe the bifurcation scenario found in a general first order system when a relay based proportional control is considered. We show the existence of a big bang bifurcation causing the existence of an infinite number of period orbits near a co-dimension two bifurcation point.

M3 - Article in proceedings

BT - Proceedings of the 11th Conference on Dynamical Systems Theory and Applications (DSTA 2011)

T2 - 11th Conference on Dynamical Systems Theory and Applications (DSTA 2011)

Y2 - 5 December 2011 through 8 December 2011

ER -