Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tilted excitation implies odd periodic resonances   Our aim is to unveil how resonances of parametric systems are affected when
symmetry is broken. We showed numerically and experimentally that odd
resonances indeed come about when the pendulum is excited along a tilted
direction. Applying the Melnikov subharmonic function, we not only determined
analytically the loci of saddle-node bifurcations delimiting resonance regions
in parameter space, but also explained these observations by demonstrating
that, under the Melnikov method point of view, odd resonances arise due to an
extra torque that appears in the asymmetric case.

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The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
15
The categories of this paper are: nucl-ex