... for the corresponding integer order problem. 31 08 2011 17 11 2011 17 11 2011 06 01 2012 06 01 2012 convergence of numerical methods eigenvalues and eigenfunctions Liouville equation optimisation fractional derivative fractional parametric optimization functional minimization...

..., and the elastic coordinates. In addition to deformable bodies, rigid bodies can be easily described in the FFRF by neglecting the elastic coordinates. deformation eigenvalues and eigenfunctions elasticity shapes (structures) shear modulus 28 02 2011 26 09 2011 26 09 2011 06 01...

... 09 08 2011 09 08 2011 delays differential equations eigenvalues and eigenfunctions feedback finite element analysis numerical stability periodic control time-varying systems It is well known that the main dynamical instability in many systems in science and engineering...

... change significantly so that their dynamic behaviors may look more and more complicated with an increase of rotating velocity. absolute nodal coordinate formulation (ANCF) rotating thin plate modal characteristics eigenvalue loci veering eigenvalue loci crossing cantilevers eigenvalues...

... of properties of the tangent tensor of motion holds for all vectorial parameterizations of motion. 19 02 2010 22 11 2010 01 02 2011 01 02 2011 eigenvalues and eigenfunctions mechanics rotation tensors The description of finite rotations, simply called rotations...

... by reducing the flexible degrees of freedom of a rack used for active vibration damping of a scanning tunneling microscope. 15 01 2009 12 05 2009 14 05 2010 14 05 2010 damping eigenvalues and eigenfunctions flexible structures matrix algebra reduced order systems scanning...

... advantageous than the integer ones. differential equations eigenvalues and eigenfunctions hysteresis integral equations optimisation three-term control Mainardi , F. , 1996 , “ The Fundamental Solutions for the Fractional Diffusion-Wave Equation ,” Appl. Math. Lett. 0893-9659 , 9...

.... 28 10 2008 02 03 2009 08 12 2009 08 12 2009 beams (structures) bending eigenvalues and eigenfunctions elasticity finite element analysis shear modulus variational techniques Several finite element method (FEM) formulations for spatial finite beam elements for use...

..., to make substantial contributions to the successful deployment of nanotechnology. atomic force microscopy bifurcation cantilevers capillarity eigenvalues and eigenfunctions liquid films mechanical contact nonlinear dynamical systems Poincare mapping 23 07 2008 31 03 2009...

... and control problems where parameter estimation and sensitivity are of importance. 16 05 2008 08 01 2009 04 06 2009 eigenvalues and eigenfunctions N-body problems parameter estimation The understanding of the influence of inertial parameters on the dynamics behavior...

... ). A detailed algorithmic framework based on complementarity problems and the use of techniques from operational research was reported in Ref. 10 , for example. variable topology dynamics impulsive inert constraints eigenvalue problem classical mechanics eigenvalues and eigenfunctions...

... for large-scale and reduced order models are compared. It is anticipated that these techniques will provide a useful tool in the analysis and control of large-scale externally excited nonlinear systems. bifurcation eigenvalues and eigenfunctions finite element analysis manifolds nonlinear dynamical...

... is described by a PFDE. Eigenvalues and eigenfunctions are used to eliminate the space parameter and to define the distributed FOCP as a set of multi-FOCP in which each FOCP can be treated independent of the other FOCPs. The calculus of variations, the Lagrange multiplier, and the formula for fractional...

... 05 10 2006 24 10 2007 N-body problems multivariable systems linearisation techniques stability eigenvalues and eigenfunctions matrix algebra time-varying systems autoregressive processes multibody systems stability analysis partial Floquet method autoregressive method...

... the basis includes an joint vector. In this case there are one eigenmode of the reference linear system and one Milman–Chu joint vector. 05 09 2006 23 01 2007 nonlinear dynamical systems Galerkin method eigenvalues and eigenfunctions vibrations springs (mechanical) damping...