Chaotic versus stochastic behavior in active-dissipative nonlinear systems
File(s)
Accepted version
Author(s)
Gotoda, Hiroshi
Pradas, Marc
Kalliadasis, S
Type
Journal Article
Abstract
We study the dynamical state of the one-dimensional noisy generalized Kuramoto-Sivashinsky (gKS) equation by making use of time-series techniques based on symbolic dynamics and complex networks. We focus on analyzing temporal signals of global measure in the spatiotemporal patterns as the dispersion parameter of the gKS equation and the strength of the noise are varied, observing that a rich variety of different regimes, from high-dimensional chaos to pure stochastic behavior, emerge. Permutation entropy, permutation spectrum, and network entropy allow us to fully classify the dynamical state exposed to additive noise.
Date Issued
2017-12-21
Date Acceptance
2017-11-08
Citation
Physical Review Fluids, 2017, 2
ISSN
2469-990X
Publisher
American Physical Society
Journal / Book Title
Physical Review Fluids
Volume
2
Copyright Statement
© 2017 American Physical Society
Sponsor
Commission of the European Communities
Grant Number
247031
Subjects
Science & Technology
Physical Sciences
Physics, Fluids & Plasmas
Physics
KURAMOTO-SIVASHINSKY EQUATION
SOLITARY PULSES
ADDITIVE NOISE
CONTACT LINES
FALLING FILM
DYNAMICS
MODEL
INSTABILITY
EROSION
MEDIA
Publication Status
Published
Article Number
124401