Journal of Nonlinear Mathematical Physics

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905 articles

Contiguity relations for discrete and ultradiscrete Painleve equations

A Ramani, B. Grammaticos, R. Willox
Pages: 353 - 364
We show that the solutions of ultradiscrete Painleve equations satisfy contiguity relations just as their continuous and discrete counterparts. Our starting point are the relations for q-discrete Painleve equations which we then proceed to ultradiscretise. In this paper we obtain results for the one-parameter...

Symmetry analysis for Whitham-Broer-Kaup equations

Zhiyong Zhang, Xuelin Yong, Yufu Chen
Pages: 383 - 397
We investigate a further group analysis of Whitham-Broer-Kaup(for short WBK) equations. An optimal system of one-dimensional subalgebras is derived and used to construct reduced equations and similarity solutions. Moreover, a special case of WBK equations is linearized and some new solutions are obtained....

Fuzzy Relational Fixed Point Clustering

Roelof K. Brouwer
Pages: 69 - 82
The proposed relational fuzzy clustering method, called FRFP ( fuzzy relational fixed point), is based on determining a fixed point of a function of the desired membership matrix. The ethod is compared to other relational clustering methods. Simulations show the method to be very effective and less computationally...

Novel Robust Stability Criteria for Uncertain Stochastic Neural Networks with Time-Varying Delay

Yunrui Guo, Yonggang Chen, Wenlin Li
Pages: 1 - 9
This paper considers the robust stability analysis problem for a class of uncertain stochastic neural net- works with time-varying delay. Based on the Lyapunov functional method, and by resorting to the new technique for estimating the upper bound of the stochastic derivative of Lyapunov functionals,...

Feature Weighting and Retrieval Methods for Dynamic Texture Motion Features

Ashfaqur Rahman, Manzur Murshed
Pages: 27 - 38
Feature weighing methods are commonly used to find the relative significance among a set of features that are effectively used by the retrieval methods to search image sequences efficiently from large databases. As evidenced in the current literature, dynamic textures (image sequences with regular motion...