LEADER 04920nam 22006135 450 001 9910799228203321 005 20251009082012.0 010 $a3-031-39985-4 024 7 $a10.1007/978-3-031-39985-5 035 $a(CKB)29468221900041 035 $a(MiAaPQ)EBC31051205 035 $a(Au-PeEL)EBL31051205 035 $a(DE-He213)978-3-031-39985-5 035 $a(OCoLC)1416747178 035 $a(EXLCZ)9929468221900041 100 $a20231222d2023 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical Modelling and Computing in Physics, Chemistry and Biology $eFundamentals and Applications /$fby Zdzislaw Trzaska 205 $a1st ed. 2023. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2023. 215 $a1 online resource (320 pages) 225 1 $aStudies in Systems, Decision and Control,$x2198-4190 ;$v495 311 08$a9783031399848 320 $aIncludes bibliographical references. 327 $a1. Introduction to dynamical systems -- 2. Basic ingredients of nonlinear systems dynamics -- 3. Oscillations in physical systems -- 4. Oscillatory Chemical Systems -- 5. Oscillations in Biological Processes -- 6. Energy Flow Analysis of Nonlinear Dynamical Systems -- 7. Artificial Intelligence in the Service of Dynamical Systems -- Subject Index . . 330 $aThis book keeps an eye in the direction of applications of advanced and high performance scientific computing in describing the behavior of natural and constructed systems, e.g. chaos, bifurcation, fractal, Lyapunov exponent, period doubling, Poincaré map, strange attractor etc. With the aid of powerful computers the modem theory of chaos and its geometry, the fractals, and attractors are developed. The concepts of object oriented computing are introduced early in the text and steadily expanded as one progresses through the chapters. The beginning of each chapter is of an introductory nature, followed by practical applications, the discussion of numerical results, theoretical investigations on nonlinear stability and convergence. This is the first complete introduction to process modelling and computing that fully integrates software tools ? enabling professionals and students to master critical techniques hands on through computer simulations based on the popular MATLAB environment. The book offers a simple tool for all those oscillations that are travelling through the world, helping them discover its hidden beauty. Many applications as well as results of computer simulations are presented. The center of concern is set on existing as well as emerging continuous methods of investigations useful for researchers, engineers and practitioners active in many and often interdisciplinary fields, where physics, electrochemistry, biology and medicine play a key role. Coverage includes: ? Dynamic behavior of nonlinear systems, ? Fundamental descriptions of processes exhibiting nonlinear oscillations, ? Mechanism and function of structures of nonlinear oscillations? patterns, ? Analysis of dynamical oscillations in electric circuits and systems, ? Artificial intelligence models of natural systems, ? Nonlinear oscillations in chemistry, biology and medicine, ? Oscillations in mechanics and transport systems, ? Oscillations in fractional-order systems, ? Energy harvesting systems from the surrounding environment. With an insatiable appetite for exploring the surrounding world and doing research, this book can help readers quickly find ways to use new computers and facilitate the quest for greater knowledge and understanding of reality. The reach of novelty of the book ranges from new mathematical ideas to motivating questions and science issues in many subject areas. 410 0$aStudies in Systems, Decision and Control,$x2198-4190 ;$v495 606 $aComputational intelligence 606 $aEngineering mathematics 606 $aEngineering$xData processing 606 $aMathematical models 606 $aComputational Intelligence 606 $aMathematical and Computational Engineering Applications 606 $aMathematical Modeling and Industrial Mathematics 615 0$aComputational intelligence. 615 0$aEngineering mathematics. 615 0$aEngineering$xData processing. 615 0$aMathematical models. 615 14$aComputational Intelligence. 615 24$aMathematical and Computational Engineering Applications. 615 24$aMathematical Modeling and Industrial Mathematics. 676 $a574.0113 700 $aTrzaska$b Zdzis?aw$01586123 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910799228203321 996 $aMathematical Modelling and Computing in Physics, Chemistry and Biology$93872397 997 $aUNINA