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It also demonstrates the simplification of problems through using mathematical modelling, by employing the use of limiting phase trajectories to quantify nonlinear phenomena. Particularly relevant to structural mechanics, in rods, cables, beams, plates and shells, as well as mechanical objects commonly found in everyday devices such as mobile phones and cameras, the book shows how each system is modelled, and how it behaves under various conditions.  It will be of interest to engineers and professionals in mechanical engineering and structural engineering, alongside those interested in vibrations and dynamics. 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Despite the employed classical numerical analysis of nonlinear phenomena, the various wavelet transforms and the four Lyapunov exponents are used to detect, monitor and possibly control chaos, hyper-chaos, hyper-hyper-chaos and deep chaos exhibited by rectangular plate-strips and cylindrical panels.The book is intended for post-graduate and doctoral students, applied mathematicians, physicists, teachers and lecturers of universities and companies dealing with a nonlinear dynamical system, as well as theoretically inclined engineers of mechanical and civil engineering.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51258952253713,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51258953695505,"sku":"NIN9789814719698","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52484956291345,"sku":"NLS9789814719698","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9814719692.jpg?v=1751352298"},{"product_id":"symmetry-in-modeling-and-analysis-of-dynamic-systems-book-jan-awrejcewicz-9783036533841","title":"Symmetry in Modeling and Analysis of Dynamic Systems","description":"\u003cp\u003eReal-world systems exhibit complex behavior, therefore novel mathematical approaches or modifications of classical ones have to be employed to precisely predict, monitor, and control complicated chaotic and stochastic processes. 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Plates and shells are enco- tered often in engineering applications being integralparts of a wide range of constructions, such as machines, vehicles, airplanes, rockets, ships, bridges, buildings, and containers, to name a few. In addition to the usual requi- ments posedby engineersrelatedtolightweightness, su?cientrigidityor?- ibility, and robust stability properties, there is an additional class ofapriori dynamicalpropertiesrequiredbymodernengineeringapplicationswheren- homogeneity and non-uniformity of structural components is often the norm incertainapplications. Inaddition, strictoperationalrequirementsinmodern engineering applications towards higher speeds, lighter construction, robust andreliableperformance, dictatessmallermarginsoferrorordeviationsfrom prescribed performances in adverse or uncertain forcing environments. 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The conf- encegatheredanumerousgroupofscientistsandengineers,whodealwithwidely understoodproblemsofdynamicsmetalsoinengineeringanddailylife. Organizationof the conferencewould nothavebeen possiblewithouta great effortofthestaffoftheDepartmentofAutomaticsandBiomechanicsoftheTech- calUniversityof?od ' z. ' Thepatronageovertheconferencehasbeentakenbythef- lowingscienti?cinstitutions:MechanicsandMachineDynamicsCommitteesofthe PolishAcademyofSciences,PolishSocietyofTheoreticalandAppliedMech- ics,PolishAssociationforComputationalMechanics,andTechnicalCommitteeof NonlinearOscillationsofIFToMM. The ?nancial support has been given by the Department of Education at the ?'odz' City Hall, Ministry of National Education and the Polish Association for ComputationalMechanics. 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