Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics of conservative Bykov cycles: tangencies, generalized cocoon
  bifurcations and elliptic solutions   This paper presents a mechanism for the coexistence of hyperbolic and
non-hyperbolic dynamics arising in a neighbourhood of a conservative Bykov
cycle where trajectories turn in opposite directions near the two saddle-foci.
We show that {within the class of divergence-free vector fields that preserve
the cycle,} tangencies of the invariant manifolds of two hyperbolic saddle-foci
densely occur. The global dynamics is persistently dominated by heteroclinic
tangencies and by the existence of infinitely many elliptic points coexisting
with suspended hyperbolic horseshoes. A generalized version of the Cocoon
bifurcations for conservative systems is obtained.

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The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
3
The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat