Dynamical Systems and Methods

✍ Scribed by Chunqing Lu (auth.), Albert C.J. Luo, José António Tenreiro Machado, Dumitru Baleanu (eds.)

• Publisher: Springer-Verlag New York
• Year: 2012
• Tongue: English
• Leaves: 345
• Edition: 1
• Category: Library

✦ Synopsis

Nonlinear Systems and Methods For Mechanical, Electrical and Biosystems presents topics observed at the 3^rd Conference on Nonlinear Science and Complexity(NSC), focusing on energy transfer and synchronization in hybrid nonlinear systems. The studies focus on fundamental theories and principles,analytical and symbolic approaches, computational techniques in nonlinear physical science and mathematics. Broken into three parts, the text covers: Parametrical excited pendulum, nonlinear dynamics in hybrid systems, dynamical system synchronization and (N+1) body dynamics as well as new views different from the existing results in nonlinear dynamics, mathematical methods for dynamical systems including conservation laws, dynamical symmetry in nonlinear differential equations and invex energies and nonlinear phenomena in physical problems such as solutions, complex flows, chemical kinetics, Toda lattices and parallel manipulator.

This book is useful to scholars, researchers and advanced technical members of industrial laboratory facilities developing new tools and products.

✦ Table of Contents

Front Matter....Pages i-xi
Front Matter....Pages 1-1
Chaos in a Parametrically Excited Pendulum with Damping Force....Pages 3-27
Energy and Nonlinear Dynamics of Hybrid Systems....Pages 29-83
Characteristics Diagnosis of Nonlinear Dynamical Systems....Pages 85-103
Synchronization of Two Coupled Phase Oscillators....Pages 105-113
Chaotic Synchronization of Duffing Oscillator and Pendulum....Pages 115-133
The Ring Problem of (N+1) Bodies: An Overview....Pages 135-150
Front Matter....Pages 151-151
Symbolic Computation of Conservation Laws, Generalized Symmetries, and Recursion Operators for Nonlinear Differential–Difference Equations....Pages 153-168
Approximate Polynomial Solution of a Nonlinear Differential Equation with Applications....Pages 169-177
Dynamical Symmetries of Second Order ODE....Pages 179-190
Invex Energies on Riemannian Manifolds....Pages 191-213
Weyl’s Limit Point and Limit Circle for a Dynamic Systems....Pages 215-225
Remarks on Suzuki (C)-Condition....Pages 227-243
On the Eigenvalues of a Non-Hermitian Hamiltonian....Pages 245-254
Front Matter....Pages 255-255
Perturbation Methods for Solitons and Their Behavior as Particles....Pages 257-267
Complex Holomorphic Flows....Pages 269-289
Unsteady MHD Flow Past a Stretching Sheet Due to a Heat Source/Sink....Pages 291-299
Effect of Chemical Kinetics on Permeability of a Porous Rock Scaling by Concentration of Active Fluid....Pages 301-310
Exciton–Phonon Dynamics with Long-Range Interaction....Pages 311-322
Time Evolution of the Spectral Data Associated with the Finite Complex Toda Lattice....Pages 323-334
Efficient Dynamic Modeling of a Hexa-Type Parallel Manipulator....Pages 335-348

✦ Subjects

Vibration, Dynamical Systems, Control;Classical Continuum Physics;Mathematical Modeling and Industrial Mathematics;Computational Science and Engineering