16,342 research outputs found
On the characterization of multiaxial data in terms of the strain energy concept
Continuous media theory for characterization of multiaxial mechanical behavior of solid propellants - strain energy concep
Convergence Time Towards Periodic Orbits in Discrete Dynamical Systems
We investigate the convergence towards periodic orbits in discrete dynamical
systems. We examine the probability that a randomly chosen point converges to a
particular neighborhood of a periodic orbit in a fixed number of iterations,
and we use linearized equations to examine the evolution near that
neighborhood. The underlying idea is that points of stable periodic orbit are
associated with intervals. We state and prove a theorem that details what
regions of phase space are mapped into these intervals (once they are known)
and how many iterations are required to get there. We also construct algorithms
that allow our theoretical results to be implemented successfully in practice.Comment: 17 pages; 7 figure
Means and method of measuring viscoelastic strain Patent
Photographic method for measuring viscoelastic strain in solid propellants and other material
Conditions for Equality between Lyapunov and Morse Decompositions
Let be a continuous principal bundle whose group is
reductive. A flow of automorphisms of endowed with an ergodic
probability measure on the compact base space induces two decompositions of
the flag bundles associated to . A continuous one given by the finest Morse
decomposition and a measurable one furnished by the Multiplicative Ergodic
Theorem. The second is contained in the first. In this paper we find necessary
and sufficient conditions so that they coincide. The equality between the two
decompositions implies continuity of the Lyapunov spectra under pertubations
leaving unchanged the flow on the base space
Miniature stress transducer Patent
Miniature solid state, direction sensitive, stress transducer design with bonded semiconductive piezoresistive element for sensing residual stresse
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