Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Post-Double Hopf Bifurcation Dynamics and Adaptive Synchronization of a
  Hyperchaotic System   In this paper a four-dimensional hyperchaotic system with only one
equilibrium is considered and its double Hopf bifurcations are investigated.
The general post-bifurcation and stability analysis are carried out using the
normal form of the system obtained via the method of multiple scales. The
dynamics of the orbits predicted through the normal form comprises possible
regimes of periodic solutions, two-period tori, and three-period tori in
parameter space.
  Moreover, we show how the hyperchaotic synchronization of this system can be
realized via an adaptive control scheme. Numerical simulations are included to
show the effectiveness of the designed control.

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The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
10
The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat