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Emerging Frontiers in Nonlinear Science : Nonlinear Systems and Complexity : Book 32 - Panayotis G. Kevrekidis

Emerging Frontiers in Nonlinear Science

By: Panayotis G. Kevrekidis, ?Jesús CuevasMaraver, ?Avadh Saxena

eText | 29 May 2020 | Edition Number 1

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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.

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Non-FictionMathematicsApplied MathematicsChaos TheoryNonlinear ScienceReference, Information & Interdisciplinary SubjectsResearch & InformationInformation theoryCybernetics & Systems TheorySciencePhysicsApplied Physics
BiophysicsQuantum Physics & Quantum Mechanics & Quantum Field TheoryMathematical PhysicsOptical PhysicsBiology, Life SciencesScience in GeneralCombinatorics & Graph Theory

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