Proceedings of the NATO Advanced Research Workshop, Tashkent, Uzbekistan, 2-6 October 2001

This volume details some of the latest advances in spectral theory and nonlinear analysis through various cutting-edge theories on algebraic multiplicities, global bifurcation theory, non-linear Schrödinger equations, non-linear boundary value problems, large solutions, metasolutions, dynamical systems, and applications to spatial ecology.The main scope of the book is bringing together a series of topics that have evolved separately during the last decades around the common denominator of spectral theory and nonlinear analysis — from the most abstract developments up to the most concrete applications to population dynamics and socio-biology — in an effort to fill the existing gaps between these fields.

While many books have discussed methodological advances in nonlinear dynamical systems theory (NDS), this volume is unique in its focus on NDS's role in the development of psychological theory. After an introductory chapter covering the fundamentals of chaos, complexity and other nonlinear dynamics, subsequent chapters provide in-depth coverage of each of the specific topic areas in psychology. A concluding chapter takes stock of the field as a whole, evaluating important challenges for the immediate future. The chapters are written by experts in the use of NDS in each of their respective areas, including biological, cognitive, developmental, social, organizational and clinical psychology. Each chapter provides an in-depth examination of theoretical foundations and specific applications and a review of relevant methods. This edited collection represents the state of the art in NDS science across the disciplines of psychology.

The editors of this book have incorporated contributions from a diverse group of leading researchers in the field of nonlinear systems. To enrich the scope of the content, this book contains a valuable selection of works on fractional differential equations.The book aims to provide an overview of the current knowledge on nonlinear systems and some aspects of fractional calculus. The main subject areas are divided into two theoretical and applied sections. Nonlinear systems are useful for researchers in mathematics, applied mathematics, and physics, as well as graduate students who are studying these systems with reference to their theory and application. This book is also an ideal complement to the specific literature on engineering, biology, health science, and other applied science areas. The opportunity given by IntechOpen to offer this book under the open access system contributes to disseminating the field of nonlinear systems to a wide range of researchers.

This book deals with the investigation of global attractors of nonlinear dynamical systems. The exposition proceeds from the simplest attractor of a single equilibrium to more complicated ones, i.e. to finite, denumerable and continuum equilibria sets; and further, to cycles, homoclinic and heteroclinic orbits; and finally, to strange attractors consisting of irregular unstable trajectories. On the complicated equilibria sets, the methods of Lyapunov stability theory are transferred. They are combined with stability techniques specially elaborated for such sets. The results are formulated as frequency-domain criteria. The methods connected with the theorems of existence of cycles and homoclinic orbits are developed. The estimates of Hausdorff dimensions of attractors are presented.

Developmental Phonological Disorders: Foundations of Clinical Practice, Second Edition is the only graduate-level textbook designed for a competency-based approach to teaching, learning, and assessment. The book provides a deep review of the knowledge base necessary for the competent assessment, diagnosis, and treatment of developmental phonological disorders. Thoroughly revised and updated, the textbook contains learning objectives in each chapter to further support understanding of concepts and carefully designed case studies and demonstrations to promote application to clinical problem solving. Key Features: Learning objectives for each chapter subsectionIncludes the "how, why, and when" to apply each assessment and treatment procedure in clinical practice62 tables containing clinically relevant information such as normative data to interpret phonological assessment results99 figures to support clinical decision making such as recommending a treatment delivery model, selecting treatment targets, or choosing evidence-based interventions35 case studies to support a competency-based approach to teaching and assessment35 demonstrations that show how to implement assessment and treatment procedures The second edition provides a comprehensive overview of seminal studies and leading-edge research on both phonological development and phonological disorders, including motor speech disorders and emergent literacy. This wealth of theoretical background is integrated with detailed descriptions and demonstrations of clinical practice, allowing the speech-language pathologist to design interventions that are adapted to the unique needs of each child while being consistent with the best research evidence. New to the Second Edition: Updated and expanded section on childhood apraxia of speechUpdated and expanded sections on the identification and treatment of inconsistent phonological disorderAdministration and interpretation of the Syllable Repetition Task addedAdministration and interpretation of the Diagnostic Evaluation of Articulation and Phonology added with case studies and demonstrationsNew organization, formatting, and editing to reduce the size of the bookCase studies revised to a single-page formatImproved Table of Contents to ease access to content, including norms tables, case studies, and demonstrations

This revised Third Edition serves as the primary textbook for introductory courses in articulation and phonological disorders. The text focuses on articulation and phonological development and disorders, their management, and the many approaches/techniques of current treatment. Features of this clear text include: chapter subheadings that lead students throughout the material; boxed questions about important information; case examples to illustrate practical applications; chapter content summaries and study suggestions for instructors; and 100 illustrations. Chapters on treatment feature quick reference protocols of various treatments for students to use in planning intervention for case study projects, observations of clinicians, or their own clients.