Emerging Frontiers in Nonlinear Science
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Beschreibung
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 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, quantumphysics, biophysics), and applied mathematics (ODEs, PDEs, dynamical systems, machine learning) as well as engineering.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 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.
Explores the impact of nonlinearity across a number of classic and modern disciplines Features contributions by experts from some of the world’s top universities Appeals to a broad range of nonexperts Discusses not only the state of the art but also the next decade of potential developments in each discipline
Autor*in
Panayotis G. Kevrekidis
Themen in »Emerging Frontiers in Nonlinear Science«
Topological Effects in Nonlinear Systems Nonlinear Metamaterials Discrete Nonlinear Systems Nonlinear Networks PT-symmetric Nonlinear Systems Dissipative Nonlinear Systems Noise and Nonlinearity Machine Learning and Nonlinear PDEs Geometric Solitons Nonlinear Effects in Biological Models Integrable Systems systems biology