Unfolding spatiotemporal dynamics through symmetry reduction based on orbit topology
From MaRDI portal
Publication:4993734
DOI10.1063/5.0048919zbMath1478.37083OpenAlexW3164288423MaRDI QIDQ4993734
Publication date: 16 June 2021
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/5.0048919
Computational methods for bifurcation problems in dynamical systems (37M20) Computational methods for invariant manifolds of dynamical systems (37M21) Computational methods for attractors of dynamical systems (37M22)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stationary modulated-amplitude waves in the 1D complex Ginzburg-Landau equation
- Continuous symmetry reduction and return maps for high-dimensional flows
- Nonlinear optics
- Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
- Moving coframes. II: Regularization and theoretical foundations
- Moving coframes. I: A practical algorithm
- The steady states of the Kuramoto-Sivashinsky equation
- Rayleigh-Taylor instability of steady fronts described by the Kuramoto-Sivashinsky equation
- Nanoscale Electrokinetics and Microvortices: How Microhydrodynamics Affects Nanofluidic Ion Flux
- The world of the complex Ginzburg-Landau equation
- Back in the Saddle Again: A Computer Assisted Study of the Kuramoto–Sivashinsky Equation
- Reduction and reconstruction for self-similar dynamical systems
- The chemical basis of morphogenesis
- Pattern formation outside of equilibrium
- Revealing the state space of turbulent pipe flow by symmetry reduction
- A non-linear instability theory for a wave system in plane Poiseuille flow
- On the State Space Geometry of the Kuramoto–Sivashinsky Flow in a Periodic Domain
- Traveling hole solutions of the complex Ginzburg-Landau equation: A review
- Modulated amplitude waves and defect formation in the one-dimensional complex Ginzburg-Landau equation