| 000 | 03816cam a22005415i 4500 | ||
|---|---|---|---|
| 001 | 21734535 | ||
| 003 | OSt | ||
| 005 | 20220106022449.0 | ||
| 006 | m |o d | | ||
| 007 | cr ||||||||||| | ||
| 008 | 140917s2014 gw |||| o |||| 0|eng | ||
| 010 | _a 2019752242 | ||
| 020 | _a9783319076591 | ||
| 024 | 7 |
_a10.1007/978-3-319-07659-1 _2doi |
|
| 035 | _a(DE-He213)978-3-319-07659-1 | ||
| 040 |
_aDLC _beng _epn _erda _cDLC |
||
| 072 | 7 |
_aMAT007000 _2bisacsh |
|
| 072 | 7 |
_aPBKJ _2bicssc |
|
| 072 | 7 |
_aPBKJ _2thema |
|
| 082 | 0 | 4 |
_a515.352 _223 |
| 100 | 1 |
_aAwrejcewicz, Jan, _eauthor. |
|
| 245 | 1 | 0 |
_aOrdinary Differential Equations and Mechanical Systems / _cby Jan Awrejcewicz. |
| 250 | _a1st ed. 2014. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2014. |
|
| 300 | _a1 online resource (XV, 614 pages 213 illustrations, 52 illustrations in color.) | ||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 347 |
_atext file _bPDF _2rda |
||
| 505 | 0 | _a1. 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 | _aThis 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. | ||
| 588 | _aDescription based on publisher-supplied MARC data. | ||
| 650 | 0 | _aDifferential equations. | |
| 650 | 0 | _aDynamics. | |
| 650 | 0 | _aErgodic theory. | |
| 650 | 0 | _aMathematical models. | |
| 650 | 0 | _aMechanics. | |
| 650 | 1 | 4 |
_aOrdinary Differential Equations. _0https://scigraph.springernature.com/ontologies/product-market-codes/M12147 |
| 650 | 2 | 4 |
_aClassical Mechanics. _0https://scigraph.springernature.com/ontologies/product-market-codes/P21018 |
| 650 | 2 | 4 |
_aDynamical Systems and Ergodic Theory. _0https://scigraph.springernature.com/ontologies/product-market-codes/M1204X |
| 650 | 2 | 4 |
_aMathematical Modeling and Industrial Mathematics. _0https://scigraph.springernature.com/ontologies/product-market-codes/M14068 |
| 776 | 0 | 8 |
_iPrint version: _tOrdinary differential equations and mechanical systems. _z9783319076584 _w(DLC) 2014947361 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319076584 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319076607 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319352893 |
| 906 |
_a0 _bibc _corigres _du _encip _f20 _gy-gencatlg |
||
| 942 |
_2ddc _cBK |
||
| 999 |
_c448934 _d448934 |
||