Oscillatory properties for three-dimensional dynamic systems

Analytic results for oscillatory systems with extremal dynamic properties

The maximal value of the error is the most important criterion in system design. It is also the most difficult one. For that reason there exist many other criteria. The extreme value of the error represents the attainable accuracy which can be obtained and the corresponding extreme time gives information about how fast the transients are. The extreme values of the error and the corresponding ti...

Generic properties for two-dimensional dynamic systems

This paper studies the concept of genericity for two dimensional dynamic systems. The basic model is the differential model, proposed by S. Smale, of constructing generic properties for diffeomorphisms defined on compact varieties . The generic property concept for dynamic systems defined on an open set G, is proposed. The aim of the construction is to test the conditions for which, in two-dime...

Almost oscillatory three-dimensional dynamical system

* Correspondence: [email protected] Missouri University of Science and Technology, 310 Rolla Building, Missouri 65409-0020, USA Full list of author information is available at the end of the article Abstract In this article, we investigate oscillation and asymptotic properties for 3D systems of dynamic equations. We show the role of nonlinearities and we apply our results to the adjoint dynamic sys...

Dynamic Analysis of Three Dimensional Asymmetric Isolated Structures

Oscillatory instability in two-dimensional dynamic fracture.

The stability of a rapid dynamic crack in a two-dimensional infinite strip is studied in the framework of linear elastic fracture mechanics supplemented with a modified principle of local symmetry. It is predicted that a single crack becomes unstable by a finite wavelength oscillatory mode at a velocity vc, 0.8cR<vc<0.85cR, where cR is the Rayleigh wave speed. The relevance of this theoretical ...