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010   $a3-319-07659-0
024 7 $a10.1007/978-3-319-07659-1
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035   $a(EBL)1965143
035   $a(OCoLC)900740824
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035   $a(PQKBTitleCode)TC0001354234
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035   $a(DE-He213)978-3-319-07659-1
035   $a(PPN)181347652
035   $a(EXLCZ)993710000000244732
100   $a20140917d2014      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aOrdinary Differential Equations and Mechanical Systems /$fby Jan Awrejcewicz
205   $a1st ed. 2014.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014.
215   $a1 online resource (621 p.)
300   $aDescription based upon print version of record.
311   $a3-319-07658-2 
320   $aIncludes bibliographical references.
327   $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.
330   $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.
606   $aDifferential equations
606   $aMechanics
606   $aMathematical models
606   $aDynamics
606   $aErgodic theory
606   $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147
606   $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018
606   $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068
606   $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X
615  0$aDifferential equations.
615  0$aMechanics.
615  0$aMathematical models.
615  0$aDynamics.
615  0$aErgodic theory.
615 14$aOrdinary Differential Equations.
615 24$aClassical Mechanics.
615 24$aMathematical Modeling and Industrial Mathematics.
615 24$aDynamical Systems and Ergodic Theory.
676   $a003.3
676   $a510
676   $a515.352
676   $a515.39
700   $aAwrejcewicz$b Jan$4aut$4http://id.loc.gov/vocabulary/relators/aut$059397
906   $aBOOK
912   $a9910299995303321
996   $aOrdinary differential equations and mechanical systems$91410409
997   $aUNINA