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Watson-Crick pushdown automata

Kingshuk ChatterjeeKumar S. Ray — 2017

Kybernetika

A multi-head 1-way pushdown automaton with k heads is a pushdown automaton with k 1-way read heads on the input tape and a stack. It was previously shown that the deterministic variant of the model cannot accept all the context free languages. In this paper, we introduce a 2-tape, 2-head model namely Watson-Crick pushdown automata where the content of the second tape is determined using a complementarity relation, similar to Watson-Crick automata. We show computational powers of nondeterministic...

Oscillation theorems for third order nonlinear delay difference equations

Sufficient conditions are obtained for the third order nonlinear delay difference equation of the form Δ ( a n ( Δ ( b n ( Δ y n ) α ) ) ) + q n f ( y σ ( n ) ) = 0 to have property ( A ) or to be oscillatory. These conditions improve and complement many known results reported in the literature. Examples are provided to illustrate the importance of the main results.

Laplace - Fibonacci transform by the solution of second order generalized difference equation

Sandra PinelasG. B. A. XavierS. U. Vasantha KumarM. Meganathan — 2017

Nonautonomous Dynamical Systems

The main objective of this paper is finding new types of discrete transforms with tuning factor t. This is not only analogy to the continuous Laplace transform but gives discrete Laplace-Fibonacci transform (LFt). This type of Laplace-Fibonacci transform is not available in the continuous case. The LFt generates uncountably many outcomes when the parameter t varies on (0,∞). This possibility is not available in the existing Laplace transform. All the formulae and results derived are verified by...

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