The problem of linear equivalence for a general class of nonlinear systems, is examined throughout this paper. A relevant algorithm is developed, based on a factorization procedure. This factorization is based on the star-product, an operation corresponding to the cascade connection of systems.

This is an investigation into various strategies for changing neural network architectures which examines both the theory of changing topologies and the current literature in the area. Experiments are performed on a combination of two of the more useful methodologies, Cascade-Correlation and connection pruning, which are able to produce more compact networks.

Decomposition is a common tool for synthesis of many physical systems. It is also used for analyzing large scale systems which then known as fearing and reconstruction. On the other hand, commutativity of cascade connected systems have gained a grate deal of interest and its possible benefits have been pointed out in the literature. In this paper, the necessary and sufficient conditions for dec...

Cordic based cascade orthogonal IIR digital lters possess desirable properties for VLSI implementations such as local connection, regularity, absence of limit cycle and overrow oscillations, and good nite word-length behavior. However, the achievable sample rate of these lters is limited, since these structures can't be pipelined at ner levels (such as bit or multi-bit level) due to the presenc...

There is a fundamental connection between temperature-quenched 2D superfluids and quantum turbulence: the mechanism responsible for decay of vorticity after quench enstrophy cascade turbulence. The range shown to increase with time as $t^{1/2}$, being equal dynamic scaling length characterizing quench. These results may apply other phase-ordering transitions involving topological objects.