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We develop a rather elaborate computer program to investigate the jointly periodic points of one-dimensional cellular automata. The experimental results and mathematical context lead to questions, con...
UNSEPARATED PAIRS AND FIXED POINTS IN RANDOM PERMUTATIONS
Abstract: The problem of computing saddle points is important in certain problems in numerical partial differential equations and computational chemistry, and is often solved numerically by a minimiza...
Abstract: Plotting solution sets for particular equations may be complicated by the existence of turning points. Here we describe an algorithm which not only overcomes such problematic points, but doe...
In the paper we are concerned with double $S$-breaking cubic turning points of two-parameter nonlinear problems in the presence of ${\cal Z}_2$-symmetry. Three extended systems are proposed to deter...

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