Cell-to-Cell Mapping: A Method of Global Analysis for Nonlinear Systems
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1987
|
| Series: | Applied Mathematical Sciences
64 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | For many years, I have been interested in global analysis of nonlinear systems. The original interest stemmed from the study of snap-through stability and jump phenomena in structures. For systems of this kind, where there exist multiple stable equilibrium states or periodic motions, it is important to examine the domains of attraction of these responses in the state space. It was through work in this direction that the cell-to-cell mapping methods were introduced. These methods have received considerable development in the last few years, and have also been applied to some concrete problems. The results look very encouraging and promising. However, up to now, the effort of developing these methods has been by a very small number of people. There was, therefore, a suggestion that the published material, scattered now in various journal articles, could perhaps be pulled together into book form, thus making it more readily available to the general audience in the field of nonlinear oscillations and nonlinear dynamical systems. Conceivably, this might facilitate getting more people interested in working on this topic. On the other hand, there is always a question as to whether a topic (a) holds enough promise for the future, and (b) has gained enough maturity to be put into book form. With regard to (a), only the future will tell. With regard to (b), I believe that, from the point of view of both foundation and methodology, the methods are far from mature |
| Physical Description: | 1 Online-Ressource (XII, 354 p) |
| ISBN: | 9781475738926 9781441930835 |
| ISSN: | 0066-5452 |
| DOI: | 10.1007/978-1-4757-3892-6 |
Staff View
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-3892-6 |
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| indexdate | 2024-07-10T01:21:09Z |
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| isbn | 9781475738926 9781441930835 |
| issn | 0066-5452 |
| language | English |
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| spelling | Hsu, C. S. Verfasser aut Cell-to-Cell Mapping A Method of Global Analysis for Nonlinear Systems by C. S. Hsu New York, NY Springer New York 1987 1 Online-Ressource (XII, 354 p) txt rdacontent c rdamedia cr rdacarrier Applied Mathematical Sciences 64 0066-5452 For many years, I have been interested in global analysis of nonlinear systems. The original interest stemmed from the study of snap-through stability and jump phenomena in structures. For systems of this kind, where there exist multiple stable equilibrium states or periodic motions, it is important to examine the domains of attraction of these responses in the state space. It was through work in this direction that the cell-to-cell mapping methods were introduced. These methods have received considerable development in the last few years, and have also been applied to some concrete problems. The results look very encouraging and promising. However, up to now, the effort of developing these methods has been by a very small number of people. There was, therefore, a suggestion that the published material, scattered now in various journal articles, could perhaps be pulled together into book form, thus making it more readily available to the general audience in the field of nonlinear oscillations and nonlinear dynamical systems. Conceivably, this might facilitate getting more people interested in working on this topic. On the other hand, there is always a question as to whether a topic (a) holds enough promise for the future, and (b) has gained enough maturity to be put into book form. With regard to (a), only the future will tell. With regard to (b), I believe that, from the point of view of both foundation and methodology, the methods are far from mature Mathematics Global analysis (Mathematics) Analysis Theoretical, Mathematical and Computational Physics Mathematik Nichtlineares Gleichungssystem (DE-588)4202607-6 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Nichtlineares dynamisches System (DE-588)4126142-2 gnd rswk-swf Nichtlineares System (DE-588)4042110-7 gnd rswk-swf Darstellung Mathematik (DE-588)4128289-9 gnd rswk-swf Nichtlineare Theorie (DE-588)4251279-7 gnd rswk-swf Globale Analysis (DE-588)4021285-3 gnd rswk-swf Globale Analysis (DE-588)4021285-3 s Nichtlineares System (DE-588)4042110-7 s 1\p DE-604 Nichtlineares Gleichungssystem (DE-588)4202607-6 s 2\p DE-604 Nichtlineares dynamisches System (DE-588)4126142-2 s 3\p DE-604 Mannigfaltigkeit (DE-588)4037379-4 s 4\p DE-604 Nichtlineare Theorie (DE-588)4251279-7 s 5\p DE-604 Darstellung Mathematik (DE-588)4128289-9 s 6\p DE-604 https://doi.org/10.1007/978-1-4757-3892-6 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 6\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hsu, C. S. Cell-to-Cell Mapping A Method of Global Analysis for Nonlinear Systems Mathematics Global analysis (Mathematics) Analysis Theoretical, Mathematical and Computational Physics Mathematik Nichtlineares Gleichungssystem (DE-588)4202607-6 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Nichtlineares dynamisches System (DE-588)4126142-2 gnd Nichtlineares System (DE-588)4042110-7 gnd Darstellung Mathematik (DE-588)4128289-9 gnd Nichtlineare Theorie (DE-588)4251279-7 gnd Globale Analysis (DE-588)4021285-3 gnd |
| subject_GND | (DE-588)4202607-6 (DE-588)4037379-4 (DE-588)4126142-2 (DE-588)4042110-7 (DE-588)4128289-9 (DE-588)4251279-7 (DE-588)4021285-3 |
| title | Cell-to-Cell Mapping A Method of Global Analysis for Nonlinear Systems |
| title_auth | Cell-to-Cell Mapping A Method of Global Analysis for Nonlinear Systems |
| title_exact_search | Cell-to-Cell Mapping A Method of Global Analysis for Nonlinear Systems |
| title_full | Cell-to-Cell Mapping A Method of Global Analysis for Nonlinear Systems by C. S. Hsu |
| title_fullStr | Cell-to-Cell Mapping A Method of Global Analysis for Nonlinear Systems by C. S. Hsu |
| title_full_unstemmed | Cell-to-Cell Mapping A Method of Global Analysis for Nonlinear Systems by C. S. Hsu |
| title_short | Cell-to-Cell Mapping |
| title_sort | cell to cell mapping a method of global analysis for nonlinear systems |
| title_sub | A Method of Global Analysis for Nonlinear Systems |
| topic | Mathematics Global analysis (Mathematics) Analysis Theoretical, Mathematical and Computational Physics Mathematik Nichtlineares Gleichungssystem (DE-588)4202607-6 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Nichtlineares dynamisches System (DE-588)4126142-2 gnd Nichtlineares System (DE-588)4042110-7 gnd Darstellung Mathematik (DE-588)4128289-9 gnd Nichtlineare Theorie (DE-588)4251279-7 gnd Globale Analysis (DE-588)4021285-3 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Theoretical, Mathematical and Computational Physics Mathematik Nichtlineares Gleichungssystem Mannigfaltigkeit Nichtlineares dynamisches System Nichtlineares System Darstellung Mathematik Nichtlineare Theorie Globale Analysis |
| url | https://doi.org/10.1007/978-1-4757-3892-6 |
| work_keys_str_mv | AT hsucs celltocellmappingamethodofglobalanalysisfornonlinearsystems |