Transition to spatiotemporal chaos via stationary branching shocks and holes
From MaRDI portal
Publication:1926275
DOI10.1016/j.physd.2012.06.003zbMath1253.35172OpenAlexW2127612647MaRDI QIDQ1926275
Matthew J. Smith, Jonathan A. Sherratt
Publication date: 28 December 2012
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2012.06.003
Related Items (4)
Adapted numerical methods for advection-reaction-diffusion problems generating periodic wavefronts ⋮ A quasi-periodic route to chaos in a parametrically driven nonlinear medium ⋮ Birth-death process of local structures in defect turbulence described by the one-dimensional complex Ginzburg-Landau equation ⋮ Parameter estimation in IMEX-trigonometrically fitted methods for the numerical solution of reaction-diffusion problems
Cites Work
- Unnamed Item
- Unnamed Item
- Transition to turbulence in open flows: what linear and fully nonlinear local and global theories tell us
- Chemical oscillations, waves, and turbulence
- Breaking the hidden symmetry in the Ginzburg-Landau equation
- Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
- Spatiotemporal chaos in the one-dimensional complex Ginzburg-Landau equation
- Bifurcation analysis of reaction-diffusion equations. III: Chemical oscillations
- A form of turbulence associated with defects
- Chronotopic Lyapunov analysis. II: Toward a unified approach
- Amplitude equations for description of chemical reaction-diffusion systems
- Absolute and convective instabilities of waves on unbounded and large bounded domains
- Convective and absolute instabilities of fluid flows in finite geometry
- Computing absolute and essential spectra using continuation
- The effects of unequal diffusion coefficients on periodic travelling waves in oscillatory reaction-diffusion systems
- Numerical aspects of searching convective/absolute instability transition
- Locating the transition from periodic oscillations to spatiotemporal chaos in the wake of invasion
- The world of the complex Ginzburg-Landau equation
- Absolute Stability of Wavetrains Can Explain Spatiotemporal Dynamics in Reaction-Diffusion Systems of Lambda-Omega Type
- Mean flow of turbulent–laminar patterns in plane Couette flow
- Secondary structures in a one-dimensional complex Ginzburg–Landau equation with homogeneous boundary conditions
- Patterns of Sources and Sinks in the Complex Ginzburg–Landau Equation with Zero Linear Dispersion
- Multi-pulse evolution and space-time chaos in dissipative systems
- Space and time intermittency behaviour of a one-dimensional complex Ginzburg-Landau equation
- Periodic Travelling Wave Selection by Dirichlet Boundary Conditions in Oscillatory Reaction-Diffusion Systems
- Gluing unstable fronts and backs together can produce stable pulses
- Defects in Oscillatory Media: Toward a Classification
- Existence and stability of standing hole solutions to complex Ginzburg-Landau equations
- Convectively Unstable Wave Packets in the Blasius Boundary Layer
- Spatiotemporal intermittency regimes of the one-dimensional complex Ginzburg-Landau equation
- Geometric Relations of Absolute and Essential Spectra of Wave Trains
- Pattern formation outside of equilibrium
- Traveling hole solutions of the complex Ginzburg-Landau equation: A review
This page was built for publication: Transition to spatiotemporal chaos via stationary branching shocks and holes
