{"product_id":"9783032127440","title":"Applied Mathematical Sciences: Parametric and autoparametric systems, Hamiltonian systems, FPU systems, coupled oscillators and chaos","description":"\u003ch1\u003eApplied Mathematical Sciences: Parametric and autoparametric systems, Hamiltonian systems, FPU systems, coupled oscillators and chaos\u003c\/h1\u003e \u003ch2\u003eVerhulst, Ferdinand\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp data-start=\"109\" data-end=\"551\"\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\u003cp data-start=\"553\" data-end=\"935\"\u003eDivided into two complementary parts, the book begins with \u003cstrong data-start=\"612\" data-end=\"622\"\u003ePart I\u003c\/strong\u003e, 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 \u003cstrong data-start=\"921\" data-end=\"932\"\u003ePart II\u003c\/strong\u003e.\u003c\/p\u003e\n\u003cp data-start=\"937\" data-end=\"1258\"\u003e\u003cstrong data-start=\"937\" data-end=\"948\"\u003ePart II\u003c\/strong\u003e explores applications in physics and engineering, blending theory with practice and incorporating numerical bifurcation analysis using tools such as \u003cstrong data-start=\"1098\" data-end=\"1106\"\u003eAUTO\u003c\/strong\u003e, \u003cstrong data-start=\"1108\" data-end=\"1123\"\u003eMathematica\u003c\/strong\u003e, and \u003cstrong data-start=\"1129\" data-end=\"1140\"\u003eMatCont\u003c\/strong\u003e. Interspersed theoretical interludes provide the background necessary for understanding and applying these methods.\u003c\/p\u003e\n\u003cp data-start=\"1260\" data-end=\"1281\"\u003eHighlights include:\u003c\/p\u003e\n\u003cul data-start=\"1282\" data-end=\"1819\"\u003e\n\u003cli data-start=\"1282\" data-end=\"1376\"\u003e\n\u003cp data-start=\"1284\" data-end=\"1376\"\u003e\u003cstrong data-start=\"1284\" data-end=\"1307\"\u003eHamiltonian systems\u003c\/strong\u003e (Ch. 9), examining resonance phenomena in physics and engineering.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1377\" data-end=\"1448\"\u003e\n\u003cp data-start=\"1379\" data-end=\"1448\"\u003e\u003cstrong data-start=\"1379\" data-end=\"1406\"\u003eFermi-Pasta-Ulam chains\u003c\/strong\u003e (Ch. 10), extending fundamental theory.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1449\" data-end=\"1596\"\u003e\n\u003cp data-start=\"1451\" data-end=\"1596\"\u003e\u003cstrong data-start=\"1451\" data-end=\"1476\"\u003eParametric excitation\u003c\/strong\u003e (Ch. 11) and \u003cstrong data-start=\"1490\" data-end=\"1525\"\u003edissipation-induced instability\u003c\/strong\u003e (Ch. 13), showcasing classical but lesser-known engineering results.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1597\" data-end=\"1698\"\u003e\n\u003cp data-start=\"1599\" data-end=\"1698\"\u003e\u003cstrong data-start=\"1599\" data-end=\"1632\"\u003eCoupled oscillators and chaos\u003c\/strong\u003e (Ch. 12), a detailed exploration of complex nonlinear dynamics.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1699\" data-end=\"1819\"\u003e\n\u003cp data-start=\"1701\" data-end=\"1819\"\u003e\u003cstrong data-start=\"1701\" data-end=\"1724\"\u003eDiffusion and waves\u003c\/strong\u003e (Ch. 14), providing essential guidance while pointing to broader material for further study.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp data-start=\"1821\" data-end=\"2067\"\u003eWhether as a reference, teaching aid, or bridge between theory and application, \u003cem data-start=\"1901\" data-end=\"1935\"\u003eAveraging for Nonlinear Dynamics\u003c\/em\u003e equips readers with the tools to analyze, approximate, and apply nonlinear systems across a wide range of scientific disciplines.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2026-02-08\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783032127440\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-032-12745-7\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 276\u003c\/p\u003e ","brand":"Springer Nature Switzerland","offers":[{"title":"Default Title","offer_id":44720460136588,"sku":"9783032127440","price":152.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783032127440.jpg?v=1772817479","url":"https:\/\/lateknightbooks.com\/products\/9783032127440","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}