Emerging Frontiers In Nonlinear Science
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Emerging Frontiers in Nonlinear Science
Author: Panayotis G. Kevrekidis
language: en
Publisher: Springer Nature
Release Date: 2020-05-29
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.
Waves, Solitons and Dynamics
Author: Pasquale De Marco
language: en
Publisher: Pasquale De Marco
Release Date: 2025-03-15
Journey into the captivating realm of nonlinear science, where waves dance in intricate patterns, solitons defy the laws of dispersion, and chaos unfolds in mesmerizing complexity. This book unveils the profound implications of nonlinear phenomena, revealing their ubiquity in nature and their transformative potential in diverse fields. Delve into the enigmatic world of solitons, solitary waves that retain their shape as they propagate, seemingly impervious to the forces of dispersion. Discover the intricate mechanisms that govern their formation, stability, and interactions, and explore their remarkable applications in fiber optic communication, oceanography, and beyond. Unravel the mysteries of chaos, a realm where seemingly random and unpredictable behaviors arise from deterministic systems. Explore the intricate web of strange attractors, fractals, and bifurcations that characterize chaotic systems, and uncover the hidden order underlying their apparent randomness. Discover how chaos theory is revolutionizing diverse fields, from weather prediction to financial modeling. Explore the profound implications of nonlinear dynamics, a field that has revolutionized our understanding of complex systems across scales. Witness the interplay of nonlinearity in the microscopic world of quantum mechanics, the rhythmic beating of our hearts, and the vastness of the cosmos. Discover how nonlinear dynamics is shaping our understanding of everything from the evolution of life to the behavior of social systems. This book is a testament to the beauty and power of nonlinear science, a field that continues to push the boundaries of our knowledge and unlock the potential for transformative technologies. With its captivating narrative and accessible explanations, this book is an essential read for anyone seeking a deeper understanding of the universe we inhabit and the profound implications of nonlinear phenomena. Join us on this intellectual odyssey into the realm of nonlinear science, and discover the secrets of waves, solitons, and chaos. Unravel the intricate patterns that govern our world and unlock the potential for advancements that can revolutionize our lives. If you like this book, write a review!
Nonlinear Dynamics in Physiology and Medicine
Author: Anne Beuter
language: en
Publisher: Springer Science & Business Media
Release Date: 2003-09-12
Introduces concepts from nonlinear dynamics using an almost exclusively biological setting for motivation, and includes examples of how these concepts are used in experimental investigations of biological and physiological systems. One novel feature of the book is the inclusion of classroom-tested computer exercises. This book will appeal to students and researchers working in the natural and physical sciences wanting to learn about physiological systems from a mathematical perspective.