Orientation-dependent pinning and homoclinic snaking on a planar lattice

QR Code

Orientation-dependent pinning and homoclinic snaking on a planar lattice

We study homoclinic snaking of one-dimensional, localized states on two-dimensional, bistable lattices via the method of exponential asymptotics. Within a narrow region of parameter space, fronts connecting the two stable states are pinned to the underlying lattice. Localized solutions are formed by...

Full description

Bibliographic Details
Main Authors:	Dean, Andrew David, Matthews, Paul C., Cox, Stephen M., King, John. R.
Format:	Article
Published:	Society for Industrial and Applied Mathematics 2015
Subjects:	Homoclinic Snaking Direction-Dependent Pinning Exponential Asymptotics Square Lattice
Online Access:	https://eprints.nottingham.ac.uk/28656/

Similar Items

Behaviour of the extended Toda lattice
by: Wattis, Jonathan A.D., et al.
Published: (2015)

Exponential asymptotics and homoclinic snaking
by: Dean, Andrew David
Published: (2012)

A method for representation of component geometry using discrete pin for reconfigurable moulds
by: Wang, Y., et al.
Published: (2011)

Behaviour of the extended modified Volterra lattice -- reductions to generalised mKdV and NLS equations
by: Wattis, Jonathan A.D., et al.
Published: (2018)

Behaviour of the extended Volterra lattice
by: Pickering, Andrew, et al.
Published: (2013)

Identification of novel factors contributing to the regulation of PIN-FORMED 7 (PIN7) transcription, in the Arabidopsis root
by: Goodall, Benjamin
Published: (2018)

Stabilization of switched linear systems with time-delay
by: Wang, M., et al.
Published: (2012)

Conformable fixture systems with flexure pins for improved workpiece holding
by: Craig, Oliver
Published: (2019)

Vortex dynamics in the Ginzburg-Landau and Maxwell-Klein-Gordon models with pinning
by: Wileman, Paul
Published: (2021)

Snakes and ladders in an inhomogeneous neural field model
by: Avitabile, Daniele, et al.
Published: (2014)

Computational investigation of boiling flows within micro-pin fin evaporators for thermal management of high-power density micro-electronics
by: El Mellas, Ismail
Published: (2024)

Exponential asymptotics: multi-level asymptotics of model problems
by: Say, Fatih
Published: (2016)

Synchronization of coupled reaction-diffusion neural networks: Delay-dependent pinning impulsive control
by: Xie, X., et al.
Published: (2019)

Montara Well Release: Report on necropsies from a Timor Sea horned sea snake
by: Gagnon, Marthe Monique, et al.
Published: (2010)

Upscaled Lattice Boltzmann Method for simulations of flows in heterogeneous porous media
by: Jun, Li, et al.
Published: (2017)

Report on Biopsy Collections from Specimens collected from the Surrounds of the West Atlas Oil Leak - Sea Snake Specimen
by: Gagnon, Marthe Monique
Published: (2010)

Planning and control of a hybrid vacuum-forming system based on screw-pin tooling
by: Wang, Zhijiang, et al.
Published: (2010)

An Estimation of Exponential Sums Associated with a Cubic Form Polynomial
by: Heng, Swee Huay
Published: (1999)

Mocarhagin
by: Andrews, R., et al.
Published: (2013)

The Combinatorics of Lattice Polytopes
by: Hall, Thomas
Published: (2024)

LARGE ROOT ANGLE1, encoding OsPIN2, is involved in root system architecture in rice
by: Wang, Lingling, et al.
Published: (2017)

Snake scales record environmental metal(loid) contamination
by: Lettoof, Damian C., et al.
Published: (2021)

Discrete Breathers in One- and Two-Dimensional Mechanical Lattices
by: Almarashi, Reem
Published: (2025)

Discrete breathers in a two-dimensional hexagonal Fermi-Pasta-Ulam lattice
by: Butt, Imran A., et al.
Published: (2007)

A review on dependence graph in social reasoning mechanism
by: Lau, Billy, et al.
Published: (2015)

Study on lattice structures using additive manufacturing and its application on a new ultra-lightweight vehicle suspension system
by: Niu, Jie
Published: (2017)

Satu Kaedah Penganggaran Hasil Tambah Eksponen Dua Pembolehubah
by: Sapar, Siti Hasana
Published: (2001)

What snake is that? Common Australian snake species are frequently misidentified or unidentified
by: Wolfe, Ashleigh, et al.
Published: (2020)

Bifurcations of limit cycles for a perturbed cubic system with double figure eight loop
by: Zhang, Tongua, et al.
Published: (2013)

The Reflexivity Index of a Finite Distributive Lattice of Subspaces
by: Harrison, K., et al.
Published: (2014)

Cryptanalysis of RSA and its variants using continuous midpoint subdivision analysis and lattices
by: Wan Mohd Ruzai, Wan Nur Aqlili
Published: (2021)

State dependent perceptual learning
by: Scott, Craig
Published: (2021)

Investigating the role of urbanisation, wetlands and climatic conditions in nematode parasitism in a large Australian elapid snake
by: Lettoof, Damian, et al.
Published: (2020)

A lattice Boltzmann model for heat transfer in porous media
by: Chen, Sheng, et al.
Published: (2017)

A modified phase change pseudopotential lattice Boltzmann model
by: Gong, W., et al.
Published: (2018)

Snakes and Electric Fences: An Innovative Approach of Teaching Curve Sketching in Undergraduate Mathematics
by: Tan, Chong, et al.
Published: (2010)

The Broad-Scale Analysis of Metals, Trace Elements, Organochlorine Pesticides and Polycyclic Aromatic Hydrocarbons in Wetlands Along an Urban Gradient, and the Use of a High Trophic Snake as a Bioindicator
by: Lettoof, Damian C., et al.
Published: (2020)

Compressive failure modes and energy absorption in additively manufactured double gyroid lattices
by: Maskery, Ian, et al.
Published: (2018)

The boundary volume of a lattice polytope
by: Hegedüs, Gábor, et al.
Published: (2011)

Static lattice energy calculations of mixing and ordering enthalpy in binary carbonate solid solutions
by: Vinograd, V., et al.
Published: (2006)