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Ordinary Differential Equations and Mechanical Systems
This book applies a step-by-step treatment of the current state-of-the-art of ordinary differential equations used in modeling of engineering systems/processes and beyond. It covers systematically ordered problems, beginning with first and second order ODEs, linear and higher-order ODEs of polynomia...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2014.
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| Edición: | 1st ed. 2014. |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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|---|---|---|---|
| 001 | 978-3-319-07659-1 | ||
| 003 | DE-He213 | ||
| 005 | 20220118075347.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 140917s2014 sz | s |||| 0|eng d | ||
| 020 | |a 9783319076591 |9 978-3-319-07659-1 | ||
| 024 | 7 | |a 10.1007/978-3-319-07659-1 |2 doi | |
| 050 | 4 | |a QA370-380 | |
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| 072 | 7 | |a MAT007000 |2 bisacsh | |
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| 100 | 1 | |a Awrejcewicz, Jan. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Ordinary Differential Equations and Mechanical Systems |h [electronic resource] / |c by Jan Awrejcewicz. |
| 250 | |a 1st ed. 2014. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2014. | |
| 300 | |a XV, 614 p. 213 illus., 52 illus. in color. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | |a 1. Introduction -- 2. First order ODEs -- 3. Second order ODEs -- 4. Linear ODEs -- 5. Higher-order ODEs polynomial form -- 6. Systems -- 7. Theory and criteria of similarity -- 8. Model and modeling -- 9. Phase plane and phase space -- 10. Stability -- 11. Modeling via perturbation methods -- 12. Continualization and discretization -- 13. Bifurcations -- 14. Optimization of systems -- 15. Chaos and synchronization. | |
| 520 | |a This book applies a step-by-step treatment of the current state-of-the-art of ordinary differential equations used in modeling of engineering systems/processes and beyond. It covers systematically ordered problems, beginning with first and second order ODEs, linear and higher-order ODEs of polynomial form, theory and criteria of similarity, modeling approaches, phase plane and phase space concepts, stability optimization, and ending on chaos and synchronization. Presenting both an overview of the theory of the introductory differential equations in the context of applicability and a systematic treatment of modeling of numerous engineering and physical problems through linear and non-linear ODEs, the volume is self-contained, yet serves both scientific and engineering interests. The presentation relies on a general treatment, analytical and numerical methods, concrete examples, and engineering intuition. The scientific background used is well balanced between elementary and advanced level, making it as a unique self-contained source for both theoretically and application oriented graduate and doctoral students, university teachers, researchers and engineers of mechanical, civil and mechatronic engineering. | ||
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Mechanics. | |
| 650 | 0 | |a Mathematical models. | |
| 650 | 0 | |a Dynamical systems. | |
| 650 | 1 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Classical Mechanics. |
| 650 | 2 | 4 | |a Mathematical Modeling and Industrial Mathematics. |
| 650 | 2 | 4 | |a Dynamical Systems. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319076584 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319076607 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319352893 |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-07659-1 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||