Dynamical Systems and Methods. 1st ed. 2012

種類:

電子ブック

責任表示:

edited by Albert C. J. Luo, José António Tenreiro Machado, Dumitru Baleanu

出版情報:

New York, NY : Springer New York : Imprint: Springer, 2012

著者名:

• Luo, Albert C. J.
• Machado, José António Tenreiro.
• Baleanu, Dumitru.
• SpringerLink (Online service)

ISBN:

9781461404545 [1461404541]    

注記:

Part I: Nonlinear Dynamical Systems -- 1. Mathematical analysis on chaos of a parametrically excited pendulum with damping force -- 2. Energy in hybrid system nonlinear dynamics -- 3.Nonlinear characteristics diagnosis of dynamical systems in engineering -- 4. Synchronization analysis for two coupled populations of phase oscillators -- 5. A Pendulum Synchronizing with a Duffing Oscillator under a Feedback Control -- 6. The Ring Problem of (N+1) Bodies: An Overview -- Part II: Mathematical Methods -- 7. Symbolic computation of conservation laws, generalized symmetries,and recursion operators for nonlinear differential-difference equations -- 8.Approximate polynomial solution of a nonlinear differential equation with Applications in Engineering Problems -- 9. Dynamical Symmetries of Second Order ODE -- 10. Invex Energies on Riemannian Manifolds -- 11. Weyl's Limit Point and Limit Circle Cases for a Dynamic Equation on Time Scales -- 12 Remarks on Suzuki(C)-Condition -- 13.  On the Eigen values of a Non-Hermitia
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. 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 l

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