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JOINTLY PERIODIC POINTS IN CELLULAR AUTOMATA:COMPUTER EXPLORATIONS AND CONJECTURES
JOINTLY PERIODIC POINTS CELLULAR AUTOMATA COMPUTER EXPLORATIONS AND CONJECTURES
2015/9/29
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
Unseparated pairs fixed points random arrangement
2015/7/7
UNSEPARATED PAIRS AND FIXED POINTS IN RANDOM PERMUTATIONS。
Finding saddle points of mountain pass type with quadratic models on affine spaces
Mountain pass algorithm conjugate gradient convergence Krylov subspace indefinite matrix
2011/9/16
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...
An algorithm for autonomously plotting solution sets in the presence of turning points
turning point implicit function cusp bifurcation curv
2011/8/23
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...