Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of Taylor Transfer Map for Duffing Equation   According to a theorem of Poincare, the solutions to differential equations
are analytic functions of (and therefore have Taylor expansions in) the initial
conditions and various parameters provided that the right sides of the
differential equations are analytic in the variables, the time, and the
parameters. These Taylor expansions, which provide a transfer map M between
initial and final conditions, may be obtained, to any desired order, by
integration of the complete variational equations. As an example of this
approach, the convergence of such an expansion is investigated for the Duffing
equation stroboscopic map in the vicinity of a infinite period doubling cascade
and resulting strange attractor.

33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg