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020 _a9783030449926
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024 7 _a10.1007/978-3-030-44992-6
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072 7 _aPBWR
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072 7 _aSCI012000
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072 7 _aPBWR
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072 7 _aPHDT
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082 0 4 _a621
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245 1 0 _aEmerging Frontiers in Nonlinear Science
_h[electronic resource] /
_cedited by Panayotis G. Kevrekidis, Jesús Cuevas-Maraver, Avadh Saxena.
250 _a1st ed. 2020.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2020.
300 _aXXV, 373 p. 104 illus., 85 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
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347 _atext file
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490 1 _aNonlinear Systems and Complexity,
_x2196-0003 ;
_v32
505 0 _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 Escaff, Katja Lindenberg) -- Chapter 14 - Physics-informed learning machines for partial differential 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. Berloff). .
520 _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.
650 0 _aStatistical physics.
650 0 _aPhysics.
650 0 _aSystem theory.
650 0 _aMathematical physics.
650 0 _aSystems biology.
650 0 _aBiological systems.
650 0 _aQuantum computers.
650 1 4 _aApplications of Nonlinear Dynamics and Chaos Theory.
_0https://scigraph.springernature.com/ontologies/product-market-codes/P33020
650 2 4 _aApplications of Graph Theory and Complex Networks.
_0https://scigraph.springernature.com/ontologies/product-market-codes/P33010
650 2 4 _aComplex Systems.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M13090
650 2 4 _aTheoretical, Mathematical and Computational Physics.
_0https://scigraph.springernature.com/ontologies/product-market-codes/P19005
650 2 4 _aSystems Biology.
_0https://scigraph.springernature.com/ontologies/product-market-codes/P27050
650 2 4 _aQuantum Computing.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M14070
700 1 _aKevrekidis, Panayotis G.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aCuevas-Maraver, Jesús.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aSaxena, Avadh.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783030449919
776 0 8 _iPrinted edition:
_z9783030449933
830 0 _aNonlinear Systems and Complexity,
_x2196-0003 ;
_v32
856 4 0 _uhttps://doi.org/10.1007/978-3-030-44992-6
912 _aZDB-2-PHA
912 _aZDB-2-SXP
950 _aPhysics and Astronomy (SpringerNature-11651)
950 _aPhysics and Astronomy (R0) (SpringerNature-43715)
999 _c547675
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