Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Centre Manifold Analysis of 3-D nonlinear system and Kinetic stability
  of Protein Assembly   Centre Manifold analysis of a 3-D nonlinear system with general second order
nonlinearities have been worked out. The system is shown to possess two fixed
points on the reduced 2-D centre manifold. By introducing a 2-D centre manifold
one can show how an oscillatory dynamics may be generated in the system. We
also state and prove a theorem to find the stability of the resultant centre
manifold equation apriori from the parity of the nonlinear terms in the
original equations. For a 2-D nonlinear model with the example picked up from
biochemistry, the protein molecules in assembly, kinetic stability analysis is
provided for the chosen example and establish herewith the validity of the
theorem for our chosen example.

22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph