Existence of limit cycles in general planar piecewise linear systems of saddle–saddle dynamics
The existence and number of limit cycles in a class of general planar piecewise linear systems constituted by two linear subsystems with saddle–saddle dynamics are investigated. Using the Liénard-like canonical form with seven parameters, the parametric regions of the existence of limit cycles are g...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Huan, Song-Mei [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2013 |
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| Schlagwörter: |
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| Umfang: |
14 |
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| Übergeordnetes Werk: |
Enthalten in: Ionic liquid directed construction of foam-like mesoporous boron-doped graphitic carbon nitride electrode for high-performance supercapacitor - Kong, Lirong ELSEVIER, 2018, an international multidisciplinary journal, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:92 ; year:2013 ; pages:82-95 ; extent:14 |
| Links: |
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| DOI / URN: |
10.1016/j.na.2013.06.017 |
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ELV038831716 |
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| 520 | |a The existence and number of limit cycles in a class of general planar piecewise linear systems constituted by two linear subsystems with saddle–saddle dynamics are investigated. Using the Liénard-like canonical form with seven parameters, the parametric regions of the existence of limit cycles are given by constructing proper Poincaré maps. In particular, the existence of at least two limit cycles is proved and some parameter regions where two nested limit cycles exist are given. | ||
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10.1016/j.na.2013.06.017 doi GBVA2013011000023.pica (DE-627)ELV038831716 (ELSEVIER)S0362-546X(13)00213-7 DE-627 ger DE-627 rakwb eng 510 510 DE-600 540 VZ 35.18 bkl Huan, Song-Mei verfasserin aut Existence of limit cycles in general planar piecewise linear systems of saddle–saddle dynamics 2013 14 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The existence and number of limit cycles in a class of general planar piecewise linear systems constituted by two linear subsystems with saddle–saddle dynamics are investigated. Using the Liénard-like canonical form with seven parameters, the parametric regions of the existence of limit cycles are given by constructing proper Poincaré maps. In particular, the existence of at least two limit cycles is proved and some parameter regions where two nested limit cycles exist are given. Liénard-like canonical form Elsevier Poincaré map Elsevier Limit cycles Elsevier Planar piecewise linear systems Elsevier Yang, Xiao-Song oth Enthalten in Elsevier, Pergamon Press Kong, Lirong ELSEVIER Ionic liquid directed construction of foam-like mesoporous boron-doped graphitic carbon nitride electrode for high-performance supercapacitor 2018 an international multidisciplinary journal Amsterdam [u.a.] (DE-627)ELV00051683X volume:92 year:2013 pages:82-95 extent:14 https://doi.org/10.1016/j.na.2013.06.017 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 35.18 Kolloidchemie Grenzflächenchemie VZ AR 92 2013 82-95 14 045F 510 |
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10.1016/j.na.2013.06.017 doi GBVA2013011000023.pica (DE-627)ELV038831716 (ELSEVIER)S0362-546X(13)00213-7 DE-627 ger DE-627 rakwb eng 510 510 DE-600 540 VZ 35.18 bkl Huan, Song-Mei verfasserin aut Existence of limit cycles in general planar piecewise linear systems of saddle–saddle dynamics 2013 14 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The existence and number of limit cycles in a class of general planar piecewise linear systems constituted by two linear subsystems with saddle–saddle dynamics are investigated. Using the Liénard-like canonical form with seven parameters, the parametric regions of the existence of limit cycles are given by constructing proper Poincaré maps. In particular, the existence of at least two limit cycles is proved and some parameter regions where two nested limit cycles exist are given. Liénard-like canonical form Elsevier Poincaré map Elsevier Limit cycles Elsevier Planar piecewise linear systems Elsevier Yang, Xiao-Song oth Enthalten in Elsevier, Pergamon Press Kong, Lirong ELSEVIER Ionic liquid directed construction of foam-like mesoporous boron-doped graphitic carbon nitride electrode for high-performance supercapacitor 2018 an international multidisciplinary journal Amsterdam [u.a.] (DE-627)ELV00051683X volume:92 year:2013 pages:82-95 extent:14 https://doi.org/10.1016/j.na.2013.06.017 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 35.18 Kolloidchemie Grenzflächenchemie VZ AR 92 2013 82-95 14 045F 510 |
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10.1016/j.na.2013.06.017 doi GBVA2013011000023.pica (DE-627)ELV038831716 (ELSEVIER)S0362-546X(13)00213-7 DE-627 ger DE-627 rakwb eng 510 510 DE-600 540 VZ 35.18 bkl Huan, Song-Mei verfasserin aut Existence of limit cycles in general planar piecewise linear systems of saddle–saddle dynamics 2013 14 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The existence and number of limit cycles in a class of general planar piecewise linear systems constituted by two linear subsystems with saddle–saddle dynamics are investigated. Using the Liénard-like canonical form with seven parameters, the parametric regions of the existence of limit cycles are given by constructing proper Poincaré maps. In particular, the existence of at least two limit cycles is proved and some parameter regions where two nested limit cycles exist are given. Liénard-like canonical form Elsevier Poincaré map Elsevier Limit cycles Elsevier Planar piecewise linear systems Elsevier Yang, Xiao-Song oth Enthalten in Elsevier, Pergamon Press Kong, Lirong ELSEVIER Ionic liquid directed construction of foam-like mesoporous boron-doped graphitic carbon nitride electrode for high-performance supercapacitor 2018 an international multidisciplinary journal Amsterdam [u.a.] (DE-627)ELV00051683X volume:92 year:2013 pages:82-95 extent:14 https://doi.org/10.1016/j.na.2013.06.017 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 35.18 Kolloidchemie Grenzflächenchemie VZ AR 92 2013 82-95 14 045F 510 |
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10.1016/j.na.2013.06.017 doi GBVA2013011000023.pica (DE-627)ELV038831716 (ELSEVIER)S0362-546X(13)00213-7 DE-627 ger DE-627 rakwb eng 510 510 DE-600 540 VZ 35.18 bkl Huan, Song-Mei verfasserin aut Existence of limit cycles in general planar piecewise linear systems of saddle–saddle dynamics 2013 14 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The existence and number of limit cycles in a class of general planar piecewise linear systems constituted by two linear subsystems with saddle–saddle dynamics are investigated. Using the Liénard-like canonical form with seven parameters, the parametric regions of the existence of limit cycles are given by constructing proper Poincaré maps. In particular, the existence of at least two limit cycles is proved and some parameter regions where two nested limit cycles exist are given. Liénard-like canonical form Elsevier Poincaré map Elsevier Limit cycles Elsevier Planar piecewise linear systems Elsevier Yang, Xiao-Song oth Enthalten in Elsevier, Pergamon Press Kong, Lirong ELSEVIER Ionic liquid directed construction of foam-like mesoporous boron-doped graphitic carbon nitride electrode for high-performance supercapacitor 2018 an international multidisciplinary journal Amsterdam [u.a.] (DE-627)ELV00051683X volume:92 year:2013 pages:82-95 extent:14 https://doi.org/10.1016/j.na.2013.06.017 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 35.18 Kolloidchemie Grenzflächenchemie VZ AR 92 2013 82-95 14 045F 510 |
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Existence of limit cycles in general planar piecewise linear systems of saddle–saddle dynamics |
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The existence and number of limit cycles in a class of general planar piecewise linear systems constituted by two linear subsystems with saddle–saddle dynamics are investigated. Using the Liénard-like canonical form with seven parameters, the parametric regions of the existence of limit cycles are given by constructing proper Poincaré maps. In particular, the existence of at least two limit cycles is proved and some parameter regions where two nested limit cycles exist are given. |
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The existence and number of limit cycles in a class of general planar piecewise linear systems constituted by two linear subsystems with saddle–saddle dynamics are investigated. Using the Liénard-like canonical form with seven parameters, the parametric regions of the existence of limit cycles are given by constructing proper Poincaré maps. In particular, the existence of at least two limit cycles is proved and some parameter regions where two nested limit cycles exist are given. |
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The existence and number of limit cycles in a class of general planar piecewise linear systems constituted by two linear subsystems with saddle–saddle dynamics are investigated. Using the Liénard-like canonical form with seven parameters, the parametric regions of the existence of limit cycles are given by constructing proper Poincaré maps. In particular, the existence of at least two limit cycles is proved and some parameter regions where two nested limit cycles exist are given. |
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