Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Another new chaotic system: bifurcation and chaos control   We propose a new simple three-dimensional continuous autonomous model with
two nonlinear terms and observe the dynamical behavior with respect to system
parameters. This system changes the stability of fixed point via Hopf
bifurcation and then undergoes a cascade of a period-doubling route to chaos.
We analytically derive the first Lyapunov coefficient to investigate the nature
of Hopf bifurcation and also investigate well-separated regions for different
kinds of attractors in two-dimensional parameter space. Next, we introduce a
time-scale ratio parameter and calculate the slow manifold using geometric
singular perturbation theory. Finally, the chaotic state is annihilated by
decreasing the value of the time-scale ratio parameter.

20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics