LEADER 05637nam 22007575 450 001 9910409995503321 005 20200701093618.0 010 $a3-030-44992-0 024 7 $a10.1007/978-3-030-44992-6 035 $a(CKB)4100000011273741 035 $a(MiAaPQ)EBC6213168 035 $a(DE-He213)978-3-030-44992-6 035 $a(PPN)248395971 035 $a(EXLCZ)994100000011273741 100 $a20200529d2020 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aEmerging Frontiers in Nonlinear Science /$fedited by Panayotis G. Kevrekidis, Jesús Cuevas-Maraver, Avadh Saxena 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (xxv, 373 pages) $cillustrations 225 1 $aNonlinear Systems and Complexity,$x2195-9994 ;$v32 311 $a3-030-44991-2 327 $aChapter 1 ? Nonlinearity and Biology (Zoi Rapti) -- Chapter 2 - Nonlinearity and Topology (Avadh Saxena, Panayotis G. Kevrekidis, and Jesús Cuevas-Maraver) -- Chapter 3 - Nonlinear Metamaterials (Lei Xu, Mohsen Rahmani, David A. Powell, Dragomir Neshev, Andrey E. Miroshnichenko) -- Chapter 4 - Nonlinearity and discreteness: solitons in lattices (Boris A. Malomed) -- Chapter 5 - Universal relaxation in quantum systems (Kazuya Fujimoto and Masahito Ueda) -- Chapter 6 - Nonlinearity and Networks: A 2020 Vision (Mason A. Porter) -- Chapter 7 - Integrability and Nonlinear Waves (Mark J. Ablowitz) -- Chapter 8 - Nonequilibrium phenomena in nonlinear lattices: from slow relaxation to anomalous transport (Stefano Iubini, Stefano Lepri, Roberto Livi, Antonio Politi, and Paolo Politi) -- Chapter 9 - Nonlinearity, Geometry and Field Theory Solitons (Nicholas S. Manton) -- Chapter 10 - Nonlinear and Novel Phenomena in Non-Hermitian Photonics (Li Ge and Wenjie Wan) -- Chapter 11 - Computational Challenges of Nonlinear Systems (Laurette S. Tuckerman) -- Chapter 12 - Dissipative Systems (Edgar Knobloch) -- Chapter 13 - Synchronization in discrete models (Alexandre Rosas, Daniel Esca?, Katja Lindenberg) -- Chapter 14 ? Physics-informed learning machines for partial di?erential equations: Gaussian processes versus neural network (Guofei Pang and George Em Karniadakis).-Chapter 15- Nonlinear systems for unconventional computing (Kirill P. Kalinin and Natalia G. Berlo?). . 330 $aThis book explores the impact of nonlinearity on a broad range of areas, including time-honored fields such as biology, geometry, and topology, but also modern ones such as quantum mechanics, networks, metamaterials and artificial intelligence. The concept of nonlinearity is a universal feature in mathematics, physics, chemistry and biology, and is used to characterize systems whose behavior does not amount to a superposition of simple building blocks, but rather features complex and often chaotic patterns and phenomena. Each chapter of the book features a synopsis that not only recaps the recent progress in each field but also charts the challenges that lie ahead. This interdisciplinary book presents contributions from a diverse group of experts from various fields to provide an overview of each field?s past, present and future. It will appeal to both beginners and seasoned researchers in nonlinear science, numerous areas of physics (optics, quantum physics, biophysics), and applied mathematics (ODEs, PDEs, dynamical systems, machine learning) as well as engineering. 410 0$aNonlinear Systems and Complexity,$x2195-9994 ;$v32 606 $aStatistical physics 606 $aPhysics 606 $aSystem theory 606 $aMathematical physics 606 $aSystems biology 606 $aBiological systems 606 $aQuantum computers 606 $aApplications of Nonlinear Dynamics and Chaos Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P33020 606 $aApplications of Graph Theory and Complex Networks$3https://scigraph.springernature.com/ontologies/product-market-codes/P33010 606 $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/M13090 606 $aTheoretical, Mathematical and Computational Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19005 606 $aSystems Biology$3https://scigraph.springernature.com/ontologies/product-market-codes/P27050 606 $aQuantum Computing$3https://scigraph.springernature.com/ontologies/product-market-codes/M14070 615 0$aStatistical physics. 615 0$aPhysics. 615 0$aSystem theory. 615 0$aMathematical physics. 615 0$aSystems biology. 615 0$aBiological systems. 615 0$aQuantum computers. 615 14$aApplications of Nonlinear Dynamics and Chaos Theory. 615 24$aApplications of Graph Theory and Complex Networks. 615 24$aComplex Systems. 615 24$aTheoretical, Mathematical and Computational Physics. 615 24$aSystems Biology. 615 24$aQuantum Computing. 676 $a003.75 702 $aKevrekidis$b Panayotis G$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aCuevas-Maraver$b Jesús$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aSaxena$b Avadh$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910409995503321 996 $aEmerging Frontiers in Nonlinear Science$91879557 997 $aUNINA