Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lyapunov exponents of a class of piecewise continuous systems of
  fractional order   In this paper, we prove that a class of autonomous piecewise continuous
systems of fractional order has well-defined Lyapunov exponents. For this
purpose, based on some known results from differential inclusions of integer
and fractional order and differential equations with discontinuous right-hand
side, the associated discontinuous initial value problem is approximated with a
continuous one of fractional order. Then, the Lyapunov exponents are
numerically determined using, for example, the known Wolf's algorithm. Three
examples of piecewise continuous chaotic systems of fractional order are
simulated and analyzed: Sprott's system, Chen's system and Shimizu-Morioka's
system.

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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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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: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci