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[null,"1.","Record Nr.",null,"UNINA9910299995303321"]
[null,null,"Autore",null,"Awrejcewicz Jan"]
[null,null,"Titolo",null,"Ordinary Differential Equations and Mechanical Systems / / by Jan Awrejcewicz"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014"]
[null,null,"ISBN",null,"3-319-07659-0"]
[null,null,"Edizione",null,"[1st ed. 2014.]"]
[null,null,"Descrizione fisica",null,"1 online resource (621 p.)"]
[null,null,"Disciplina",null,"003.3"]
[{"$nulls":4},"510"]
[{"$nulls":4},"515.352"]
[{"$nulls":4},"515.39"]
[null,null,"Soggetti",null,"Differential equations"]
[{"$nulls":4},"Mechanics"]
[{"$nulls":4},"Mathematical models"]
[{"$nulls":4},"Dynamics"]
[{"$nulls":4},"Differential Equations"]
[{"$nulls":4},"Classical Mechanics"]
[{"$nulls":4},"Mathematical Modeling and Industrial Mathematics"]
[{"$nulls":4},"Dynamical Systems"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"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."]
[null,null,null,"Sommario/riassunto","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 "]
[{"$nulls":4},"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."]