New Frontiers In Nonlinear Sciences

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.

The fourteen chapters of this book cover the central ideas and concepts of chaos and fractals as well as many related topics including: the Mandelbrot set, Julia sets, cellular automata, L-systems, percolation and strange attractors. This new edition has been thoroughly revised throughout. The appendices of the original edition were taken out since more recent publications cover this material in more depth. Instead of the focussed computer programs in BASIC, the authors provide 10 interactive JAVA-applets for this second edition.

Zdzislaw Pawlak is a great scientist and a great human being. This volume contains a short perspective on the life and work of Zdzislaw Pawlak. It reflects the influence of a number of research initiatives by Pawlak in a whole range of research areas.

This highly multidisciplinary volume contains contributions from leading researchers in STEAM-H disciplines (Science, Technology, Engineering, Agriculture, Mathematics and Health). The volume explores new frontiers in multidisciplinary research, including: the mathematics of cardiac arrhythmia; brain research on working memory; penalized ordinal regression to classify melanoma skin samples; forecasting of time series data; dynamics of niche models; analysis of chemical moieties as anticancer agents; study of gene locus control regions; qualitative mathematical modelling; convex quadrics and group circle systems; remanufacturing planning and control; complexity reduction of functional differential equations; computation of viscous interfacial motion; and differentiation in human pluripotent stem cells. An extension of a seminar series at Virginia State University, the collection is intended to foster student interest and participation in interdisciplinary research and to stimulate new research. The content will be of interest to a broad spectrum of scientists, mathematicians and research students working in interdisciplinary fields including the biosciences, mathematics, engineering, neurosciences and behavioral sciences.

In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and turbulence, and condensed matter physics, among others.

New Frontiers in Nanochemistry: Concepts, Theories, and Trends, Volume 1: Structural Nanochemistry is the first volume of the new three-volume set that explains and explores the important concepts from various areas within the nanosciences. This first volume focuses on structural nanochemistry and encompasses the general fundamental aspects of nanochemistry while simultaneously incorporating crucial material from other fields, in particular mathematic and natural sciences, with specific attention to multidisciplinary chemistry. Under the broad expertise of the editor, the volume contains 50 concise yet comprehensive entries from world-renowned scholars, alphabetically organizing a multitude of essential basic and advanced concepts, ranging from algebraic chemistry to new energy technology, from the bondonic theory of chemistry to spintronics, and from fractal dimension and kinetics to quantum dots and tight binding—and much more. The entries contain definitions, short characterizations, uses and usefulness, limitations, references, and more.

The OC 2007 ICTP Summer College on Plasma Physics'' was held at the Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy, during the period 30 July to 24 August 2007. The purpose of the summer college was to provide training for young scientists from all over the world, mainly from third world countries, and to give them the opportunity to interact with senior scientists in an informal manner. A large number of talks were given by invited speakers and experts, with information about the most recent advances in magnetic confinement fusion and tokamak physics, intense laserOCoplasma interactions and plasma-based particle acceleration, turbulence, dusty plasmas, and the emerging field of quantum plasmas. A selected number of papers from the invited speakers appear in this book. Sample Chapter(s). Foreword (60 KB). Nonlinear Collective Processes in Very Dense Plasmas (1,782 KB). Contents: Nonlinear Collective Processes in Very Dense Plasmas (P K Shukla et al.); Quantum, Spin and QED Effects in Plasmas (G Brodin & M Marklund); Quantum Methodologies in Beam, Fluid and Plasma Physics (R Fedele); Generation of Galactic Seed Magnetic Fields (H Saleem); Multifluid Theory of Solitons (F Verheest); Electro-Acoustic Solitary Waves in Dusty Plasmas (A A Mamun & P K Shukla); Physics of Dust in Magnetic Fusion Devices (Z Wang et al.); Short Wavelength Ballooning Mode in Tokamaks (A Hirose & N Joiner); and other papers. Readership: Researchers in the field of plasma physics."