Dynamical Systems and Methods

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-Hermitian Hamiltonian.- Part III: Nonlinear Physics.- 14 Perturbation methods for solitons and their behavior as particles.- 15. Complex analytic flows.- 16. Unsteady MHD flow past a stretching sheet due to a heat source/sink.- 17. Effect of chemical kinetics on permeability of a porous rock scaling by concentration of active fluid.- 18. Exciton-phonon dynamics with long range interaction.- 19. Integration of the Finite Toda Lattice with Complex-Valued Initial Data.- 20 Efficient Dynamic Modeling of a Hexa-Type Parallel Manipulator.

From the reviews:

"The reviewed proceedings of the 3rd conference in nonlinear science and complexity is devoted to dynamical systems and their applications to nonlinear phenomena in natural sciences, paying attention both to fundamental theories and principles and analytical and computational techniques in nonlinear physical science and mathematics. ... The book is useful for theoretical mathematicians and physicists as well as for applied mathematicians, especially those interested in nonlinear phenomena." (Boris V. Loginov, Zentralblatt MATH, Vol. 1244, 2012)

From the reviews:

"The reviewed proceedings of the 3rd conference in nonlinear science and complexity is devoted to dynamical systems and their applications to nonlinear phenomena in natural sciences, paying attention both to fundamental theories and principles and analytical and computational techniques in nonlinear physical science and mathematics. ... The book is useful for theoretical mathematicians and physicists as well as for applied mathematicians, especially those interested in nonlinear phenomena." (Boris V. Loginov, Zentralblatt MATH, Vol. 1244, 2012)