Organization of spatially periodic solutions of the steady Kuramoto-Sivashinsky equation
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Publication:2299800
DOI10.1016/j.cnsns.2013.09.040zbMath1457.37012OpenAlexW2079571313MaRDI QIDQ2299800
Publication date: 24 February 2020
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2013.09.040
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Cites Work
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- Orbit extension method for finding unstable orbits
- Travelling wave solutions of the Kuramoto-Sivashinsky equation
- The existence of steady solutions of the Kuramoto-Sivashinsky equation
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- The Kuramoto-Sivashinsky equation: a bridge between PDE's and dynamical systems
- Steady solutions of the Kuramoto-Sivashinsky equation
- Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interfaces
- Uniqueness of connecting orbits in the equation \(Y^{(3)}=Y^ 2-1\)
- Steady solutions of the Kuramoto-Sivashinsky equation for small wave speed
- The steady states of the Kuramoto-Sivashinsky equation
- Newton method for highly unstable orbits
- Generating Families in the Restricted Three-Body Problem
- Back in the Saddle Again: A Computer Assisted Study of the Kuramoto–Sivashinsky Equation
- Recycling of strange sets: I. Cycle expansions
- Equilibrium and travelling-wave solutions of plane Couette flow
- Nonlinear instability at the interface between two viscous fluids
- Viscoelastic behaviour of cellular solutions to the Kuramoto-Sivashinsky model
- Traveling waves on fluid interfaces: Normal form analysis of the Kuramoto–Sivashinsky equation
- Spatiotemporal chaos in terms of unstable recurrent patterns
- Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
- Travelling-waves of the Kuramoto-Sivashinsky, equation: period-multiplying bifurcations
- Kuramoto–Sivashinsky Dynamics on the Center–Unstable Manifold
- Turbulence, Coherent Structures, Dynamical Systems and Symmetry
- THE "COCOON" BIFURCATIONS IN THREE-DIMENSONAL SYSTEMS WITH TWO FIXED POINTS
- Hamiltonian structure and integrability of the stationary Kuramoto–Sivashinsky equation
- Invariant recurrent solutions embedded in a turbulent two-dimensional Kolmogorov flow
- Long Waves on Liquid Films
- On the State Space Geometry of the Kuramoto–Sivashinsky Flow in a Periodic Domain
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