{"product_id":"averaging-for-nonlinear-dynamics-with-applications-and-numerical-bifurcations-von-ferdinand-verhulst","title":"Averaging for Nonlinear Dynamics with Applications and Numerical Bifurcations","description":"\n                                \n                \u003cp\u003eThis book presents a comprehensive and practical survey of averaging methods for differential equations. Combining rigorous theory with applied perspectives, this book serves as both a study text and a reference for mathematicians and scientists in fields such as engineering, physics, and biology.\u003c\/p\u003e\n                                \n                \n                \u003cp\u003e\n                                        Divided into two complementary parts, the book begins with \n                    \n                    \u003cstrong\u003ePart I\u003c\/strong\u003e\n                                        , the Toolbox of Averaging Theorems, providing clear definitions, theorem formulations, and foundational results. While mathematicians may be content with existence proofs and qualitative analyses, applied scientists require tools that link theory to real-world problems—an essential motivation for \n                    \n                    \u003cstrong\u003ePart II\u003c\/strong\u003e\n                                        .\n                \n                \u003c\/p\u003e\n                                \n                \n                \u003cp\u003e\n                                        \n                    \u003cstrong\u003ePart II\u003c\/strong\u003e\n                                         explores applications in physics and engineering, blending theory with practice and incorporating numerical bifurcation analysis using tools such as \n                    \n                    \u003cstrong\u003eAUTO\u003c\/strong\u003e\n                                        , \n                    \n                    \u003cstrong\u003eMathematica\u003c\/strong\u003e\n                                        , and \n                    \n                    \u003cstrong\u003eMatCont\u003c\/strong\u003e\n                                        . Interspersed theoretical interludes provide the background necessary for understanding and applying these methods.\n                \n                \u003c\/p\u003e\n                                \n                \n                \u003cp\u003eHighlights include:\u003c\/p\u003e\n                                \n                \n                \u003cul\u003e\n                                        \n                    \n                    \u003cli\u003e\n                                                \n                        \n                        \u003cp\u003e\n                                                        \n                            \u003cstrong\u003eHamiltonian systems\u003c\/strong\u003e\n                                                         (Ch. 9), examining resonance phenomena in physics and engineering.\n                        \n                        \u003c\/p\u003e\n                                                \n                    \n                    \u003c\/li\u003e\n                                        \n                    \n                    \u003cli\u003e\n                                                \n                        \n                        \u003cp\u003e\n                                                        \n                            \u003cstrong\u003eFermi-Pasta-Ulam chains\u003c\/strong\u003e\n                                                         (Ch. 10), extending fundamental theory.\n                        \n                        \u003c\/p\u003e\n                                                \n                    \n                    \u003c\/li\u003e\n                                        \n                    \n                    \u003cli\u003e\n                                                \n                        \n                        \u003cp\u003e\n                                                        \n                            \u003cstrong\u003eParametric excitation\u003c\/strong\u003e\n                                                         (Ch. 11) and \n                            \n                            \u003cstrong\u003edissipation-induced instability\u003c\/strong\u003e\n                                                         (Ch. 13), showcasing classical but lesser-known engineering results.\n                        \n                        \u003c\/p\u003e\n                                                \n                    \n                    \u003c\/li\u003e\n                                        \n                    \n                    \u003cli\u003e\n                                                \n                        \n                        \u003cp\u003e\n                                                        \n                            \u003cstrong\u003eCoupled oscillators and chaos\u003c\/strong\u003e\n                                                         (Ch. 12), a detailed exploration of complex nonlinear dynamics.\n                        \n                        \u003c\/p\u003e\n                                                \n                    \n                    \u003c\/li\u003e\n                                        \n                    \n                    \u003cli\u003e\n                                                \n                        \n                        \u003cp\u003e\n                                                        \n                            \u003cstrong\u003eDiffusion and waves\u003c\/strong\u003e\n                                                         (Ch. 14), providing essential guidance while pointing to broader material for further study.\n                        \n                        \u003c\/p\u003e\n                                                \n                    \n                    \u003c\/li\u003e\n                                        \n                \n                \u003c\/ul\u003e\n                                \n                \n                \u003cp\u003e\n                                        Whether as a reference, teaching aid, or bridge between theory and application, \n                    \n                    \u003cem\u003eAveraging for Nonlinear Dynamics\u003c\/em\u003e\n                                         equips readers with the tools to analyze, approximate, and apply nonlinear systems across a wide range of scientific disciplines.\n                \n                \u003c\/p\u003e\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783032127440\"\u003e\u003ch3\u003eParametric and autoparametric systems, Hamiltonian systems, FPU systems, coupled oscillators and chaos\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Hardcover - 9783032127440","offer_id":57280949485893,"sku":"9783032127440","price":160.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/45becb62-defe-443c-b38d-0903c6c78380.jpg?v=1774931264","url":"https:\/\/shop.autorenwelt.de\/products\/averaging-for-nonlinear-dynamics-with-applications-and-numerical-bifurcations-von-ferdinand-verhulst","provider":"Autorenwelt Shop","version":"1.0","type":"link"}