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Titlebook: Emerging Frontiers in Nonlinear Science; Panayotis G. Kevrekidis,Jesús Cuevas-Maraver,Avadh Book 2020 Springer Nature Switzerland AG 2020

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Modern Hungarian Political Thoughtimated by a finite-dimensional dynamics on a moduli space of collective coordinates. Interesting phenomena related to the curvature and topology of moduli spaces are illustrated here through the examples of vortices, sigma model lumps, and monopoles. Collective coordinate dynamics can be quantized,
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https://doi.org/10.1007/979-8-8688-0617-9nefitted from a series of quantum-inspired symmetries without the Hermiticity restriction in canonical quantum mechanics. In this chapter we will highlight a few recent achievements in non-Hermitian photonics, with a focus on nonlinear behaviors and systems. We will first discuss the realizations of
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al equations. In order of increasing complexity, we describe methods for calculating steady states and bifurcation diagrams, linear stability and Floquet analysis, and heteroclinic orbits. These are illustrated by computations for Rayleigh–Bénard convection in a cylindrical geometry, the Faraday ins
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zation into a snakes-and-ladders structure is explained and the results illustrated with several examples drawn from the physical sciences. The corresponding results for systems with a conserved quantity are described, focusing on crystallization from a supercooled melt via a propagating crystalliza
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https://doi.org/10.1007/978-981-97-4379-7rst we discuss the differences between systems with an infinite number of units (corresponding to a mean field approximation) and systems with finite populations; we also discuss conditions for systems with a finite number of states to be able to describe the continuous Kuramoto model.
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https://doi.org/10.1007/978-3-031-65980-5ment of unconventional computing—requiring the efforts of mathematicians, physicists and engineers. Many analogue physical systems including nonlinear oscillator networks, lasers, and condensates were proposed and realised to address hard computational problems from various areas of social and physi
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Universal Relaxation in Quantum Systems,t relaxation dynamics in isolated quantum systems. We overview the theoretical foundations of the universal properties and recent experiments on these topics on the basis of a quantum spin model, the Gross–Pitaevskii theory, and kinetic equations.
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