Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Composition of Chaotic Maps with an Invariant Measure   We generate new hierarchy of many-parameter family of maps of the interval
[0,1] with an invariant measure, by composition of the chaotic maps of
reference [1]. Using the measure, we calculate Kolmogorov-Sinai entropy, or
equivalently Lyapunov characteristic exponent, of these maps analytically,
where the results thus obtained have been approved with numerical simulation.
In contrary to the usual one-dimensional maps and similar to the maps of
reference [1], these maps do not possess period doubling or period-n-tupling
cascade bifurcation to chaos, but they have single fixed point attractor at
certain region of parameters values, where they bifurcate directly to chaos
without having period-n-tupling scenario exactly at these values of parameter
whose Lyapunov characteristic exponent begins to be positive.

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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: math
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an