Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Collective Lyapunov modes   We show, using covariant Lyapunov vectors in addition to standard Lyapunov
analysis, that there exists a set of collective Lyapunov modes in large chaotic
systems exhibiting collective dynamics. Associated with delocalized Lyapunov
vectors, they act collectively on the trajectory and hence characterize the
instability of its collective dynamics. We further develop, for
globally-coupled systems, a connection between these collective modes and the
Lyapunov modes in the corresponding Perron-Frobenius equation. We thereby
address the fundamental question of the effective dimension of collective
dynamics and discuss the extensivity of chaos in presence of collective
dynamics.

5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol