Hopf bifurcation control for affine systems

Fernando Verduzco; Joaquin Alvarez

doi:10.23919/acc.2004.1386712

Hopf bifurcation control for affine systems

Fernando Verduzco^*, Joaquin Alvarez

^*Autor correspondiente de este trabajo

Departamento de Matemáticas

Producción científica: Contribución a una revista › Artículo de la conferencia › revisión exhaustiva

10 Citas (Scopus)

Resumen

In this paper we establish conditions to control the Hopf bifurcation of nonlinear systems with two uncontrollable modes on the imaginary axis. We use the center manifold to reduce the system dynamics to dimension two, and find expressions in terms of the original vector fields.

Idioma original	Inglés
Páginas (desde-hasta)	1061-1066
Número de páginas	6
Publicación	Proceedings of the American Control Conference
Volumen	2
DOI	https://doi.org/10.23919/acc.2004.1386712
Estado	Publicada - 2004
Evento	Proceedings of the 2004 American Control Conference (AAC) - Boston, MA, Estados Unidos Duración: 30 jun. 2004 → 2 jul. 2004

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title = "Hopf bifurcation control for affine systems",

abstract = "In this paper we establish conditions to control the Hopf bifurcation of nonlinear systems with two uncontrollable modes on the imaginary axis. We use the center manifold to reduce the system dynamics to dimension two, and find expressions in terms of the original vector fields.",

author = "Fernando Verduzco and Joaquin Alvarez",

year = "2004",

doi = "10.23919/acc.2004.1386712",

language = "Ingl{\'e}s",

volume = "2",

pages = "1061--1066",

journal = "Proceedings of the American Control Conference",

issn = "0743-1619",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "Proceedings of the 2004 American Control Conference (AAC) ; Conference date: 30-06-2004 Through 02-07-2004",

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TY - JOUR

T1 - Hopf bifurcation control for affine systems

AU - Verduzco, Fernando

AU - Alvarez, Joaquin

PY - 2004

Y1 - 2004

N2 - In this paper we establish conditions to control the Hopf bifurcation of nonlinear systems with two uncontrollable modes on the imaginary axis. We use the center manifold to reduce the system dynamics to dimension two, and find expressions in terms of the original vector fields.

AB - In this paper we establish conditions to control the Hopf bifurcation of nonlinear systems with two uncontrollable modes on the imaginary axis. We use the center manifold to reduce the system dynamics to dimension two, and find expressions in terms of the original vector fields.

UR - http://www.scopus.com/inward/record.url?scp=8744311433&partnerID=8YFLogxK

U2 - 10.23919/acc.2004.1386712

DO - 10.23919/acc.2004.1386712

M3 - Artículo de la conferencia

AN - SCOPUS:8744311433

SN - 0743-1619

VL - 2

SP - 1061

EP - 1066

JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

T2 - Proceedings of the 2004 American Control Conference (AAC)

Y2 - 30 June 2004 through 2 July 2004

ER -

Hopf bifurcation control for affine systems

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