Dynamical Systems and Methods

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. 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 Annotation Nonlinear Systems and Methods For Mechanical, Electrical and Biosystems presents topics observed at the 3rd 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 Nonlinear Systems and Methods For Mechanical, Electrical and Biosystems presents topics observed at the 3rd 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. Focusing on energy transfer in hybrid systems in nonlinear dynamics, this volume begins with a description of systems such as microscale microbeams, and includes extensive coverage of Chua's Circuit and its applications as well as complex mathematical models.