منابع مشابه
Cayley transforms in micromagnetics
Methods of numerical integration of ordinary differential equations exploiting the Cayley transform arise in a variety of contexts, ranging from the classical mid-point rule to symplectic and (almost) Poisson integrators, to numerical methods on Lie Groups. In earlier work, the first author investigated the interplay between the Cayley transform and the Jacobi identity in establishing certain e...
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In this short paper we generalize some previous results on attitude representations using higher order Cayley transforms. We show that the kinematic parameters generated by these higher order Cayley transforms have a a very simple limit, i.e., the well-known Euler vector. Introduction In a recent paper1 we introduced the concept of Higher Order Cayley Transforms (HOCT) as a means of generating ...
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We interpret the Cayley transform of linear (finiteor infinite-dimensional) state space systems as a numerical integration scheme of Crank–Nicolson type. If such a scheme is applied to a conservative system, then the resulting discrete time system is conservative in the discrete time sense. We show that the convergence of this integration scheme is equivalent to an approximation of the Laplace ...
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ژورنال
عنوان ژورنال: Physica B: Condensed Matter
سال: 2001
ISSN: 0921-4526
DOI: 10.1016/s0921-4526(01)01003-1