Emerging Frontiers in Nonlinear Science

This 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 m...

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Bibliographic Details
Other Authors: Kevrekidis, Panayotis G. (Editor), Cuevas-Maraver, Jesús (Editor), Saxena, Avadh (Editor)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2020, 2020
Edition:1st ed. 2020
Series:Nonlinear Systems and Complexity
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Chapter 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).