Non-Local Methods for Pendulum-Like Feedback Systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | German |
| Published: |
Wiesbaden
Vieweg+Teubner Verlag
1992
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| Series: | TEUBNER-TEXTE zur Mathematik
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| Subjects: | |
| Online Access: | Volltext |
| Item Description: | 0 are already deecribed by I. Newton (116]. However it was 250 years later that F. Tricorni (147] carried out the first non-local qualitative investigation of equation (0.1) with arbitrary o ~ 0 and "'{ ~ 0. It was proved by F. Tricorni that any solution of (0.1) with o > 0 corresponds either to a rotatory motion or to a damped oscillatory motion. Moreover, he showed that in the non-trivial case "'! :::; 1 there exists a bifurcation value ocr("'!) corresponding to a separatrix-loop, i.e. to a double-asymptotic to a saddle-point trajectory. For o < ocr("'!) equation (0.1) admits damped oscillations as weil as rotatory motions. For o > ocr("'') global asymptotic stability takes place, i.e. every motion is a damped oscillation. The papers of F. Tricorni became familiar immediately |
| Physical Description: | 1 Online-Ressource (VII, 242 S.) |
| ISBN: | 9783663122616 9783663122623 |
| ISSN: | 0138-502X |
| DOI: | 10.1007/978-3-663-12261-6 |
Staff View
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Record in the Search Index
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:22:07Z |
| institution | BVB |
| isbn | 9783663122616 9783663122623 |
| issn | 0138-502X |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027887450 |
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| physical | 1 Online-Ressource (VII, 242 S.) |
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| publishDate | 1992 |
| publishDateSearch | 1992 |
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| publisher | Vieweg+Teubner Verlag |
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| series2 | TEUBNER-TEXTE zur Mathematik |
| spelling | Leonov, Gennadij A. Verfasser aut Non-Local Methods for Pendulum-Like Feedback Systems von Gennadij A. Leonov, Volker Reitmann, Vera B. Smirnova Wiesbaden Vieweg+Teubner Verlag 1992 1 Online-Ressource (VII, 242 S.) txt rdacontent c rdamedia cr rdacarrier TEUBNER-TEXTE zur Mathematik 0138-502X 0 are already deecribed by I. Newton (116]. However it was 250 years later that F. Tricorni (147] carried out the first non-local qualitative investigation of equation (0.1) with arbitrary o ~ 0 and "'{ ~ 0. It was proved by F. Tricorni that any solution of (0.1) with o > 0 corresponds either to a rotatory motion or to a damped oscillatory motion. Moreover, he showed that in the non-trivial case "'! :::; 1 there exists a bifurcation value ocr("'!) corresponding to a separatrix-loop, i.e. to a double-asymptotic to a saddle-point trajectory. For o < ocr("'!) equation (0.1) admits damped oscillations as weil as rotatory motions. For o > ocr("'') global asymptotic stability takes place, i.e. every motion is a damped oscillation. The papers of F. Tricorni became familiar immediately Engineering Engineering, general Ingenieurwissenschaften Regelungssystem (DE-588)4134712-2 gnd rswk-swf Differentialgleichungssystem (DE-588)4121137-6 gnd rswk-swf Phasenraum (DE-588)4139912-2 gnd rswk-swf Zylinderbereich (DE-588)4232981-4 gnd rswk-swf Verzweigung Mathematik (DE-588)4078889-1 gnd rswk-swf Stabilität (DE-588)4056693-6 gnd rswk-swf Ljapunov-Funktion (DE-588)4274502-0 gnd rswk-swf Pendelgleichung (DE-588)4322855-0 gnd rswk-swf Regelungssystem (DE-588)4134712-2 s Pendelgleichung (DE-588)4322855-0 s Stabilität (DE-588)4056693-6 s Verzweigung Mathematik (DE-588)4078889-1 s Ljapunov-Funktion (DE-588)4274502-0 s 1\p DE-604 Differentialgleichungssystem (DE-588)4121137-6 s Zylinderbereich (DE-588)4232981-4 s Phasenraum (DE-588)4139912-2 s 2\p DE-604 Reitmann, Volker Sonstige oth Smirnova, Vera B. Sonstige oth https://doi.org/10.1007/978-3-663-12261-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Leonov, Gennadij A. Non-Local Methods for Pendulum-Like Feedback Systems Engineering Engineering, general Ingenieurwissenschaften Regelungssystem (DE-588)4134712-2 gnd Differentialgleichungssystem (DE-588)4121137-6 gnd Phasenraum (DE-588)4139912-2 gnd Zylinderbereich (DE-588)4232981-4 gnd Verzweigung Mathematik (DE-588)4078889-1 gnd Stabilität (DE-588)4056693-6 gnd Ljapunov-Funktion (DE-588)4274502-0 gnd Pendelgleichung (DE-588)4322855-0 gnd |
| subject_GND | (DE-588)4134712-2 (DE-588)4121137-6 (DE-588)4139912-2 (DE-588)4232981-4 (DE-588)4078889-1 (DE-588)4056693-6 (DE-588)4274502-0 (DE-588)4322855-0 |
| title | Non-Local Methods for Pendulum-Like Feedback Systems |
| title_auth | Non-Local Methods for Pendulum-Like Feedback Systems |
| title_exact_search | Non-Local Methods for Pendulum-Like Feedback Systems |
| title_full | Non-Local Methods for Pendulum-Like Feedback Systems von Gennadij A. Leonov, Volker Reitmann, Vera B. Smirnova |
| title_fullStr | Non-Local Methods for Pendulum-Like Feedback Systems von Gennadij A. Leonov, Volker Reitmann, Vera B. Smirnova |
| title_full_unstemmed | Non-Local Methods for Pendulum-Like Feedback Systems von Gennadij A. Leonov, Volker Reitmann, Vera B. Smirnova |
| title_short | Non-Local Methods for Pendulum-Like Feedback Systems |
| title_sort | non local methods for pendulum like feedback systems |
| topic | Engineering Engineering, general Ingenieurwissenschaften Regelungssystem (DE-588)4134712-2 gnd Differentialgleichungssystem (DE-588)4121137-6 gnd Phasenraum (DE-588)4139912-2 gnd Zylinderbereich (DE-588)4232981-4 gnd Verzweigung Mathematik (DE-588)4078889-1 gnd Stabilität (DE-588)4056693-6 gnd Ljapunov-Funktion (DE-588)4274502-0 gnd Pendelgleichung (DE-588)4322855-0 gnd |
| topic_facet | Engineering Engineering, general Ingenieurwissenschaften Regelungssystem Differentialgleichungssystem Phasenraum Zylinderbereich Verzweigung Mathematik Stabilität Ljapunov-Funktion Pendelgleichung |
| url | https://doi.org/10.1007/978-3-663-12261-6 |
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