Getting three limit cycles through simultaneous local and global bifurcations in piecewise linear Filippov systems

Emilio Freire; Enrique Ponce; Fernando  Torres; Andrés  Rivera

Getting three limit cycles through simultaneous local and global bifurcations in piecewise linear Filippov systems

Título traducido de la contribución: Obtención de tres ciclos límite mediante bifurcaciones locales y globales simultáneas en sistemas Filippov lineales a trozos

Emilio Freire
, Enrique Ponce
, Fernando Torres
, Andrés Rivera

Universidad de Sevilla
Escuela Técnica Superior de Ingeniería
Pontificia Universidad Javeriana
University of Seville

Producción: Capítulo del libro/informe/acta de congreso › Capítulo en libro de investigación › revisión exhaustiva

Resumen

By considering just a planar discontinuous piecewise linear system, where in a half-plane the dynamics is of focus type while there is a saddle in the other, a simultaneous generation of three limit cycles surrounding the sliding set is shown: one
of the limit cycles comes from a homoclinic connection while the other two arise from a local bifurcation related to a boundary focus.

Título traducido de la contribución	Obtención de tres ciclos límite mediante bifurcaciones locales y globales simultáneas en sistemas Filippov lineales a trozos
Idioma original	Inglés
Título de la publicación alojada	Proceedings of the XXIV congress on differential equations and applications
Lugar de publicación	España
Editorial	Publicaciones de la Universidad de Cadiz
Páginas	717-720
Número de páginas	4
Volumen	2015
ISBN (versión digital)	9828-5277
ISBN (versión impresa)	9828-5277
Estado	Publicada - jun 2015

Serie de la publicación

Nombre	Proceedings of the XXIV congress on differential equations and applications
Editorial	UCA Publicaciones Universidad de Cadiz
Número	1
Volumen	2015
ISSN (versión digital)	9828-5277

Palabras clave

Filippov Systems
Limit cycles
Bifurcations
piecewise linear systems

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Freire, E., Ponce, E., Torres, F., & Rivera, A. (2015). Getting three limit cycles through simultaneous local and global bifurcations in piecewise linear Filippov systems. En Proceedings of the XXIV congress on differential equations and applications (Vol. 2015, pp. 717-720). (Proceedings of the XXIV congress on differential equations and applications; Vol. 2015, N.º 1). Publicaciones de la Universidad de Cadiz. https://dialnet.unirioja.es/servlet/articulo?codigo=9279711

Freire, Emilio ; Ponce, Enrique ; Torres, Fernando et al. / Getting three limit cycles through simultaneous local and global bifurcations in piecewise linear Filippov systems. Proceedings of the XXIV congress on differential equations and applications. Vol. 2015 España : Publicaciones de la Universidad de Cadiz, 2015. pp. 717-720 (Proceedings of the XXIV congress on differential equations and applications; 1).

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title = "Getting three limit cycles through simultaneous local and global bifurcations in piecewise linear Filippov systems",

abstract = "By considering just a planar discontinuous piecewise linear system, wherein a half-plane the dynamics is of focus type while there is a saddle in the other, a simultaneous generation of three limit cycles surrounding the sliding set is shown: one of the limit cycles comes from a homoclinic connection while the other two arise from a local bifurcation related to a boundary focus",

keywords = "Filippov Systems, Limit cycles, Bifurcations, piecewise linear systems, Filippov Systems, piecewise linear systems, bifurcations, Limit cycles",

author = "Emilio Freire and Enrique Ponce and Fernando Torres and Andr{\'e}s Rivera",

year = "2015",

month = jun,

language = "English",

isbn = "9828-5277",

volume = "2015",

series = "Proceedings of the XXIV congress on differential equations and applications",

publisher = "Publicaciones de la Universidad de Cadiz",

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booktitle = "Proceedings of the XXIV congress on differential equations and applications",

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Freire, E, Ponce, E, Torres, F & Rivera, A 2015, Getting three limit cycles through simultaneous local and global bifurcations in piecewise linear Filippov systems. En Proceedings of the XXIV congress on differential equations and applications. vol. 2015, Proceedings of the XXIV congress on differential equations and applications, n.º 1, vol. 2015, Publicaciones de la Universidad de Cadiz, España, pp. 717-720. <https://dialnet.unirioja.es/servlet/articulo?codigo=9279711>

Getting three limit cycles through simultaneous local and global bifurcations in piecewise linear Filippov systems. / Freire, Emilio; Ponce, Enrique; Torres, Fernando et al.
Proceedings of the XXIV congress on differential equations and applications. Vol. 2015 España: Publicaciones de la Universidad de Cadiz, 2015. p. 717-720 (Proceedings of the XXIV congress on differential equations and applications; Vol. 2015, N.º 1).

Producción: Capítulo del libro/informe/acta de congreso › Capítulo en libro de investigación › revisión exhaustiva

TY - CHAP

T1 - Getting three limit cycles through simultaneous local and global bifurcations in piecewise linear Filippov systems

AU - Freire, Emilio

AU - Ponce, Enrique

AU - Torres, Fernando

AU - Rivera, Andrés

PY - 2015/6

Y1 - 2015/6

N2 - By considering just a planar discontinuous piecewise linear system, wherein a half-plane the dynamics is of focus type while there is a saddle in the other, a simultaneous generation of three limit cycles surrounding the sliding set is shown: one of the limit cycles comes from a homoclinic connection while the other two arise from a local bifurcation related to a boundary focus

AB - By considering just a planar discontinuous piecewise linear system, wherein a half-plane the dynamics is of focus type while there is a saddle in the other, a simultaneous generation of three limit cycles surrounding the sliding set is shown: one of the limit cycles comes from a homoclinic connection while the other two arise from a local bifurcation related to a boundary focus

KW - Filippov Systems

KW - Limit cycles

KW - Bifurcations

KW - piecewise linear systems

KW - Filippov Systems

KW - piecewise linear systems

KW - bifurcations

KW - Limit cycles

M3 - Chapter

SN - 9828-5277

VL - 2015

T3 - Proceedings of the XXIV congress on differential equations and applications

SP - 717

EP - 720

BT - Proceedings of the XXIV congress on differential equations and applications

PB - Publicaciones de la Universidad de Cadiz

CY - España

ER -

Freire E, Ponce E, Torres F, Rivera A. Getting three limit cycles through simultaneous local and global bifurcations in piecewise linear Filippov systems. En Proceedings of the XXIV congress on differential equations and applications. Vol. 2015. España: Publicaciones de la Universidad de Cadiz. 2015. p. 717-720. (Proceedings of the XXIV congress on differential equations and applications; 1).

Getting three limit cycles through simultaneous local and global bifurcations in piecewise linear Filippov systems

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