edited by Yisong Yang (Polytechnic Institute of New York University, USA), Xinchu Fu (Shanghai University, China), & Jinqiao Duan (Illinois Institute of Technology, USA)

Table of Contents (151k)
Editorial Foreword (74k)
Preface (76k)
Chapter 1: Periodic Boundary Problems for Analytic Function Including Automorphic Functions (430k)

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.

• Periodic Boundary Problems for Analytic Function Including Automorphic Functions (H-T Cai & J-K Lu)
• Subharmonic Bifurcations and Chaos for a Model of Micro-Cantilever in MEMS (Y-S Chen et al.)
• Canonical Sample Spaces for Random Dynamical Systems (J-Q Duan et al.)
• Epidemic Propagation Dynamics on Complex Networks (X-C Fu et al.)
• Inverse Problems for Equations of Parabolic Type (Z-B Han et al.)
• The Existence and Asymptotic Properties of Nontrivial Solutions of Nonlinear (2 – q)-Laplacian Type Problems with Linking Geometric Structure (G-B Li & Z-F Shen)
• Chaotic Dynamics for the Two-Component Bose-Einstein Condensate System (J-B Li)
• Recent Developments and Perspectives in Nonlinear Dynamics (Z-R Liu)
• Mathematical Aspects of the Cold Plasma Model (T H Otway)
• Gravitating Yang–Mills Fields in All Dimensions (E Radu & D H Tchrakian)
• Hamiltonian Constraint and Mandelstam Identities Over Extended Knot Families {ψ_i}²₂, {ψ_i}⁴₃ and {ψ_i}⁶₄ in Extended Loop Gravity (D Shao et al.)
• Lattice Boltzmann Simulation of Nonlinear Schrödinger Equation with Variable Coefficients (B-C Shi)
• Exponential Stability of Nonlocal Time-Delayed Burgers Equation (Y-B Tang)
• Bifurcation Analysis of the Swift-Hohenberg Equation with Quintic Nonlinearity and Neumann Boundary Condition (Q-K Xiao & H-J Gao)
• A New GL Method for Mathematical and Physical Problems (G-Q Xie & J-H Li)
• Harmonically Representing Topological Classes (Y-S Yang)