Dynamical behaviors and invariant recurrent patterns of Kuramoto-Sivashinsky equation with time-periodic forces
type: Item
instance of: scholarly article
title: Dynamical behaviors and invariant recurrent patterns of Kuramoto-Sivashinsky equation with time-periodic forces
DOI: 10.1063/5.0198143
author: Di Liu
published in: Chaos
publication date: 2024-08-26T00:00:00Z
Mathematics Subject Classification ID: 37-XX
Mathematics Subject Classification ID: 34-XX
zbMATH DE Number: 7901242
MaRDI profile type: Publication
cites work: Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
cites work: Nonlinear interfacial stability of core-annular film flows
cites work: A search for the simplest chaotic partial differential equation
cites work: A geometric method for infinite-dimensional chaos: symbolic dynamics for the Kuramoto-Sivashinsky PDE on the line
cites work: A global attracting set for the Kuramoto-Sivashinsky equation
cites work: New bounds for the Kuramoto‐Sivashinsky equation
cites work: The route to chaos for the Kuramoto-Sivashinsky equation
cites work: Predicting chaos for infinite dimensional dynamical systems: the Kuramoto-Sivashinsky equation, a case study.
cites work: An in-depth numerical study of the two-dimensional Kuramoto–Sivashinsky equation
cites work: On the State Space Geometry of the Kuramoto–Sivashinsky Flow in a Periodic Domain
cites work: Spatiotemporal chaos in terms of unstable recurrent patterns
cites work: Predicting chaotic statistics with unstable invariant tori
cites work: Fourth-Order Time-Stepping for Stiff PDEs
cites work: LYAPUNOV EXPONENTS OF THE KURAMOTO–SIVASHINSKY PDE
cites work: The critical layer in pipe flow at high Reynolds number
cites work: Invariant recurrent solutions embedded in a turbulent two-dimensional Kolmogorov flow
cites work: Dissipativity, analyticity and viscous shocks in the (de)stabilized Kuramoto-Sivashinsky equation
description: scientific article; zbMATH DE number 7901242