Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Long Tailed Maps as a Representation of Mixed Mode Oscillatory Systems   Mixed mode oscillatory (MMO) systems are known to exhibit some generic
features such as the reversal of period doubling sequences and crossover to
period adding sequences as bifurcation parameters are varied. In addition, they
exhibit a nearly one dimensional unimodal Poincare map with a longtail. We
recover these common features from a general class of two parameter family of
one dimensional maps with a unique critical point that satisfy a few general
constraints that determine the nature of the map. We derive scaling laws that
determine the parameter widths of the dominant windows of periodic orbits
sandwiched between two successive states of RL^k sequence. An example of a two
parameter map with a unique critical point is introduced to verify the
analytical results.

8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th