Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symplectic Computation of Lyapunov Exponents   A recently developed method for the calculation of Lyapunov exponents of
dynamical systems is described. The method is applicable whenever the
linearized dynamics is Hamiltonian. By utilizing the exponential representation
of symplectic matrices, this approach avoids the renormalization and
reorthogonalization procedures necessary in usual techniques. It is also easily
extendible to damped systems. The method is illustrated by considering two
examples of physical interest: a model system that describes the beam halo in
charged particle beams and the driven van der Pol oscillator.

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The categories of this paper are: hep-ph
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga