Selected Papers of Demetrios G. Magiros: Applied Mathematics, Nonlinear Mechanics, and Dynamical Systems Analysis
Gespeichert in:
| Weitere Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1985
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The theory of nonlinear oscillations and stability of motion is a fundamental part of the study of numerous real world phenomena. These phenomena, particularly auto-oscillations of the first and second kind, capture, parametric, subharmonic and ultraharmonic resonance, asymptotic behavior and orbits' stability, constitute the core of problems treated in "Nonlinear Mechanics", and their study is connected with the names of H. Poincare, A. M. Lyapunov, N. M. Krylov and N. N. Bogolyubov. Professor Demetrios Magiros, a widely known scientist in the theories of oscillations and nonlinear differential equations, has devoted his numerous works to this significant part of modern physical science. His scientific results can be classified in the following way: I) creation of methods of analysis of subharmonic resonances under the nonlinear effect, 2) determination and analysis of the main modes of nonlinear oscillations on the basis of infinite determinants, 3) analysis of problems of celestial mechanics, 4) classification of stability of solutions of dynamic systems concepts, 5) mathematical analogs of physical and social systems. He has developed new methods and solutions for a great number of difficult problems of nonlinear mechanics making a significant contribution to the theory and applications of the field. Urgency, depth of perception of the considered phenomena, and practical directness are characteristics of his work |
| Beschreibung: | 1 Online-Ressource (XV, 518 p) |
| ISBN: | 9789400953680 9789401088695 |
| DOI: | 10.1007/978-94-009-5368-0 |
Internformat
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| 500 | |a The theory of nonlinear oscillations and stability of motion is a fundamental part of the study of numerous real world phenomena. These phenomena, particularly auto-oscillations of the first and second kind, capture, parametric, subharmonic and ultraharmonic resonance, asymptotic behavior and orbits' stability, constitute the core of problems treated in "Nonlinear Mechanics", and their study is connected with the names of H. Poincare, A. M. Lyapunov, N. M. Krylov and N. N. Bogolyubov. Professor Demetrios Magiros, a widely known scientist in the theories of oscillations and nonlinear differential equations, has devoted his numerous works to this significant part of modern physical science. His scientific results can be classified in the following way: I) creation of methods of analysis of subharmonic resonances under the nonlinear effect, 2) determination and analysis of the main modes of nonlinear oscillations on the basis of infinite determinants, 3) analysis of problems of celestial mechanics, 4) classification of stability of solutions of dynamic systems concepts, 5) mathematical analogs of physical and social systems. He has developed new methods and solutions for a great number of difficult problems of nonlinear mechanics making a significant contribution to the theory and applications of the field. Urgency, depth of perception of the considered phenomena, and practical directness are characteristics of his work | ||
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Datensatz im Suchindex
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
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| discipline | Mathematik |
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| id | DE-604.BV042423736 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:14Z |
| institution | BVB |
| isbn | 9789400953680 9789401088695 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027859153 |
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| physical | 1 Online-Ressource (XV, 518 p) |
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| spelling | Selected Papers of Demetrios G. Magiros Applied Mathematics, Nonlinear Mechanics, and Dynamical Systems Analysis edited by S. G. Tzafestas Dordrecht Springer Netherlands 1985 1 Online-Ressource (XV, 518 p) txt rdacontent c rdamedia cr rdacarrier The theory of nonlinear oscillations and stability of motion is a fundamental part of the study of numerous real world phenomena. These phenomena, particularly auto-oscillations of the first and second kind, capture, parametric, subharmonic and ultraharmonic resonance, asymptotic behavior and orbits' stability, constitute the core of problems treated in "Nonlinear Mechanics", and their study is connected with the names of H. Poincare, A. M. Lyapunov, N. M. Krylov and N. N. Bogolyubov. Professor Demetrios Magiros, a widely known scientist in the theories of oscillations and nonlinear differential equations, has devoted his numerous works to this significant part of modern physical science. His scientific results can be classified in the following way: I) creation of methods of analysis of subharmonic resonances under the nonlinear effect, 2) determination and analysis of the main modes of nonlinear oscillations on the basis of infinite determinants, 3) analysis of problems of celestial mechanics, 4) classification of stability of solutions of dynamic systems concepts, 5) mathematical analogs of physical and social systems. He has developed new methods and solutions for a great number of difficult problems of nonlinear mechanics making a significant contribution to the theory and applications of the field. Urgency, depth of perception of the considered phenomena, and practical directness are characteristics of his work Mathematics Global analysis (Mathematics) Mechanics Mathematics, general Analysis Mathematik Tzafestas, S. G. edt https://doi.org/10.1007/978-94-009-5368-0 Verlag Volltext |
| spellingShingle | Selected Papers of Demetrios G. Magiros Applied Mathematics, Nonlinear Mechanics, and Dynamical Systems Analysis Mathematics Global analysis (Mathematics) Mechanics Mathematics, general Analysis Mathematik |
| title | Selected Papers of Demetrios G. Magiros Applied Mathematics, Nonlinear Mechanics, and Dynamical Systems Analysis |
| title_auth | Selected Papers of Demetrios G. Magiros Applied Mathematics, Nonlinear Mechanics, and Dynamical Systems Analysis |
| title_exact_search | Selected Papers of Demetrios G. Magiros Applied Mathematics, Nonlinear Mechanics, and Dynamical Systems Analysis |
| title_full | Selected Papers of Demetrios G. Magiros Applied Mathematics, Nonlinear Mechanics, and Dynamical Systems Analysis edited by S. G. Tzafestas |
| title_fullStr | Selected Papers of Demetrios G. Magiros Applied Mathematics, Nonlinear Mechanics, and Dynamical Systems Analysis edited by S. G. Tzafestas |
| title_full_unstemmed | Selected Papers of Demetrios G. Magiros Applied Mathematics, Nonlinear Mechanics, and Dynamical Systems Analysis edited by S. G. Tzafestas |
| title_short | Selected Papers of Demetrios G. Magiros |
| title_sort | selected papers of demetrios g magiros applied mathematics nonlinear mechanics and dynamical systems analysis |
| title_sub | Applied Mathematics, Nonlinear Mechanics, and Dynamical Systems Analysis |
| topic | Mathematics Global analysis (Mathematics) Mechanics Mathematics, general Analysis Mathematik |
| topic_facet | Mathematics Global analysis (Mathematics) Mechanics Mathematics, general Analysis Mathematik |
| url | https://doi.org/10.1007/978-94-009-5368-0 |
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