Our aim was to build complete bifurcation diagrams and to find new bifurcation groups and unknown rare regular and chaotic attractors
using complete bifurcation analysis in these pendulum systems.
1990] do not examine the R/S analysis, (perhaps because the R/S analysis was not popular in the study of economic data sets before Peters ), it does not claim to locate a chaotic attractor
These self-similar forms are often pulled together by 'strange' or chaotic attractors
Now it makes sense to me that one might, in a sense, want to preserve the chaotic attractors
that are within complex, nonlinear, self-organizing feedback processes.
This unpredictable behavior furnishes evidence that the lines themselves are chaotic attractors
Among the topics are symmetrical multi-petal chaotic attractors
in a three-dimensional autonomous system with only one stable equilibrium, catastrophic bifurcation in three-phase voltage-source converters, a chaotic image encryption scheme based on magic cube transformations, the global synchronization of a hyperchaotic system with four wings, and generating multi-scroll attractors from fractal and multi-fractal processes.
of Johannesburg) has updated his material to reflect advances in technique as well as research, and to give students insights into how they will be expected to apply these techniques and concepts in real life, where chaotic attractors
are using neural networks, fractals are used in data compression, and neural networks and fuzzy logic are combined.
The nonlinear workbook; chaos, fractals, cellular automata, neural networks, genetic algorithms, gene expression programming, support vector machine, wavelets, hidden Markov models, fuzzy logic..., 4th ed