Orientation-Dependent Pinning and Homoclinic Snaking on a Planar Lattice
From MaRDI portal
Publication:5250036
DOI10.1137/140966897zbMath1370.37137arXiv1407.4695OpenAlexW2166980513MaRDI QIDQ5250036
No author found.
Publication date: 15 May 2015
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1407.4695
Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Applications of difference equations (39A60)
Related Items (2)
Cites Work
- Snaking and isolas of localised states in bistable discrete lattices
- Propagation failure along myelinated nerves
- Snakes and ladders: localized states in the Swift-Hohenberg equation
- Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics
- Multistable solitons in higher-dimensional cubic-quintic nonlinear Schrödinger lattices
- Exponential asymptotics of localised patterns and snaking bifurcation diagrams
- On traveling-wave solutions of the Kuramoto-Sivashinsky equation
- Beyond-all-orders effects in multiple-scales asymptotics: Travelling-wave solutions to the Kuramoto-Sivashinsky equation
- Waves and bumps in neuronal networks with axo-dendritic synaptic interactions
- Homogenization and propagation in the bistable equation
- Propagation failure of traveling waves in a discrete bistable medium
- Multipulse states in the Swift-Hohenberg equation
- Snake-to-isola transition and moving solitons via symmetry-breaking in discrete optical cavities
- Asymptotics beyond all orders and Stokes lines in nonlinear differential-difference equations
- Do waveless ships exist? Results for single-cornered hulls
- Free surface flow past topography: A beyond-all-orders approach
- Solitary Waves and Their Linear Stability in Nonlinear Lattices
- Continuous description of lattice discreteness effects in front propagation
- The emergence of a coherent structure for coherent structures: localized states in nonlinear systems
- Propagation failure in the discrete Nagumo equation
- Exponential asymptotics of homoclinic snaking
- On the non-universality of the error function in the smoothing of stokes discontinuities
- Exponential Asymptotics and Capillary Waves
- Exponential asymptotics and gravity waves
- Snakes, Ladders, and Isolas of Localized Patterns
- Discrete Snaking: Multiple Cavity Solitons in Saturable Media
- To Snake or Not to Snake in the Planar Swift–Hohenberg Equation
- Localized radial solutions of the Swift–Hohenberg equation
- Localized Hexagon Patterns of the Planar Swift–Hohenberg Equation
- Homoclinic snaking: Structure and stability
- On homoclinic snaking in optical systems
- On asymmetric gravity–capillary solitary waves
- Dynamics of line singularities
- Uniform asymptotic smoothing of Stokes’s discontinuities
- Stokes Phenomenon and Matched Asymptotic Expansions
- Modulated and Localized States in a Finite Domain
- Pattern formation outside of equilibrium
- Why is a shock not a caustic? The higher-order Stokes phenomenon and smoothed shock formation
- Spatially localized structures in dissipative systems: open problems
- Spatially localized binary-fluid convection
- Universality of crystallographic pinning
This page was built for publication: Orientation-Dependent Pinning and Homoclinic Snaking on a Planar Lattice
