International Journal of Nonlinear Sciences and
Numerical Simulation
Vol. 8, No.3
2007
CONTENTS
Vibration Absorption Using the Softening Spring Effect of a Buckled Beam
C.Y. Cheuk, E.W.M. Lee, W.L. Wong and I.W.H. Fung--------------------------------------------------------297
Polynomial Modeling of the Controlled Rack-Stacker Robot Using GMDH-type
Neural Networks and Singular Value Decomposition
A. Bagheri, N. Nariman-Zadeh, M. Babaei, and A. Jamali------------------------------------------------------301
He’s Variational Iteration Method for Solving Hyperbolic Differential Equations
J. Biazar , H. Ghazvini--------------------------------------------------------------------------------------------------311
Solitary Wave Solutions for the Generalized Burgers-Huxley Equation
T. S. El-Danaf------------------------------------------------------------------------------------------------------------315
New Application of He's Homotopy Perturbation Method
M. Gorji, D.D. Ganji, S. Soleimani----- -----------------------------------------------------------------------------319
An Improved ‘Heuristic’ Approximation for the Period of a Nonlinear Pendulum:
Linear Analysis of a Classical Nonlinear Problem
A. Beléndez, A. Hernández, T. Beléndez, A. Márquez and C. Neipp-----------------------------------------329
Electrokinetic Effects on Flow and Heat Transfer in Parallel-Plate Microchannels
J. Fan, L.Q. Wang and L. Cheng -------------------------------------------------------------------------------------335
Hopf Bifurcation and Complexity of a Kind of Economic Systems
J.-H. Ma , T. Sun and Z.-Q. Wang---------------------------------------------------------------------------------347
Homotopy Perturbation Method for Solving a Nonlinear System of Second Order
Boundary Value Problems
E. Yusufoğlu -------------------------------------------------------------------------------------------------------------353
Forced Convection in Rectangular Microchannels: Electrokinetic Effects
J. Fan, L. Q. Wang and L. Cheng-------------------------------------------------------------------------------------359
Nonlinear Vibration and Stability of a Jeffcott Rotor under Unbalanced Magnetic Excitation
Y.-F. Wang, L.-H. Huang and Y. Li---------------------------------------------------------------------------------375
Direct Solutions of N-th Order Initial Value Problems in Decomposition Series
F. Yahaya, I. Hashim , E.S. Ismail and A.K. Zulkifle-------------------------------------------------------------385
Bubble Electrospinning for Mass Production of Nanofibers
Y. Liu, J.-H. He----------------------------------------------------------------------------------------------------------393
Nonlinear Dynamics Governing Quantum Transition Behavior
C.-D. Yang, S.-Y. Han and F.-B. Hsiao ----------------------------------------------------------------------------397
Homotopy Perturbation Method for Systems of Partial Differential Equations
J. Biazar , M. Eslami, H. Ghazvini-----------------------------------------------------------------------------------413
Adaptive Synchronization of Uncertain Genesio Chaotic Systems Based on Parameter Identification
J.W. Feng, C. Xu, W.-Q. Zhang -------------------------------------------------------------------------------------419
Three-Dimensional Numerical Study of Flow Structures of Impinging Jets in Y-typed Micro-mixers
H. Guan, C.-J. Wu, H. Loewe, and S.-T. Tu-----------------------------------------------------------------------425
Solution of the Generalized Nonlinear Boussinesq Equation Using Homotopy Perturbation and
Variational Iteration Methods
A. Sadighi , D. D. Ganji------------------------------------------------------------------------------------------------435
Exceptional Lie Groups Hierarchy and the Structure of the Micro Universe
M. S. El Naschie---------------------------------------------------------------------------------------------------------445
Theory of String Motion in the Textile Process of Yarn Unwinding
S. Pracek------------------------------------------------------------------------------------------------------------------451
Exp-function Method for the Hybrid-Lattice System
S.-D. Zhu------------------------------------------------------------------------------------------------------------------461
Exp-function Method for the Discrete mKdV Lattice
S.-D. Zhu------------------------------------------------------------------------------------------------------------------465