Perspectives in Mathematical Sciences

by Yang, Yisong; Fu, Xinchu; Duan, Jinqiao

• ISBN13: 9789814289306
• ISBN10: 9814289302
• Format: Hardcover
• Copyright: 2010-02-28
• Publisher: World Scientific Pub Co Inc

Summary

Mathematical sciences have been playing an increasingly important role in modern society. They are in high demand for investigating complex problems in physical science, environmental and geophysical sciences, materials science, life science and chemical sciences. This is a review volume on some timely and interesting topics in applied mathematical sciences. It surveys new developments and presents some future research directions in these topics. The chapters are written by experts in these fields, with a wide audience in mind and hence will be accessible to graduate students, junior researchers and other professionals who are interested in the subjects. The contributions of Professor Youzhong Guo, a leading expert in these areas, will be celebrated. His life and academic achievements are highlighted in the Preface and Postscript of the book. The underlying theme that binds the various chapters seamlessly is a set of dedicated ideas and techniques from partial differential equations and dynamical systems.

Table of Contents

Editorial Foreword	p. vii
Preface	p. ix
Selected Books Authored	p. xiii
Periodic Boundary Problems for Analytic Function Including Automorphic Functions	p. 1
Subharmonic Bifurcations and Chaos for a Model of Micro-Cantilever in MEMS	p. 37
Canonical Sample Spaces for Random Dynamical Systems	p. 53
Epidemic Propagation Dynamics on Complex Networks	p. 71
Inverse Problems for Equations of Parabolic Type	p. 93
The Existence and Asymptotic Properties of Nontrivial Solutions of Nonlinear (2 - q)-Laplacian Type Problems with Linking Geometric Structure	p. 115
Chaotic Dynamics for the Two-component Bose-Einstein Condensate System	p. 135
Recent Developments and Perspectives in Nonlinear Dynamics	p. 145
Mathematical Aspects of the Cold Plasma Model	p. 181
Gravitating Yang-Mills Fields in All Dimensions	p. 211
Hamiltonian Constraint and Mandelstam Identities over Extended Knot Families {¿i}22, {¿i}43 and {¿i}6 4 in Extended Loop Gravity	p. 241
Lattice Boltzmann Simulation of Nonlinear Schrödinger Equation with Variable Coefficients	p. 253
Exponential Stability of Nonlocal Time-Delayed Burgers Equation	p. 265
Bifurcation Analysis of the Swift-Hohenberg Equation with Quintic Nonlinearity and Neumann Boundary Condition	p. 275
A New GL Method for Mathematical and Physical Problems	p. 293
Harmonically Representing Topological Classes	p. 307
Postscript	p. 353
Table of Contents provided by Ingram. All Rights Reserved.