The bistable Swift-Hohenberg equation possesses a variety of time-independent spatially localized solutions organized in the so-called snakes-and-ladders structure. This structure is a consequence of a phenomenon known as homoclinic snaking, and is in turn a consequence of spatial reversibility of the equation. We examine here the consequences of breaking spatial reversibility on the snakes-and-ladders structure. We find that the localized states now drift, and show that the snakes-and-ladders structure breaks up into a stack of isolas. We explore the evolution of this new structure with increasing reversibility breaking and study the dynamics of the system outside of the snaking region using a combination of numerical and analytical techn...
Homoclinic snaking is a term used to describe the back and forth oscillation of a branch of time-ind...
Continuous neural field models with inhomogeneous synaptic connectivities are known to support trave...
Homoclinic snaking is a term used to describe the back and forth oscillation of a branch of time-ind...
We consider the discrete Swift-Hohenberg equation with cubic and quintic nonlinearity, obtained from...
Abstract. Stable localized roll structures have been observed in many physical problems and model eq...
We consider a one-dimensional Swift-Hohenberg equation coupled to a conservation law, where both equ...
We investigate the bifurcation structure of stationary localized patterns of the two dimensional Swi...
International audienceWe study the existence of dislocations in an anisotropic Swift-Hohenberg equat...
International audienceWe study the existence of dislocations in an anisotropic Swift-Hohenberg equat...
The conserved Swift-Hohenberg equation with cubic nonlinearity provides the simplest microscopic des...
The cubic-quintic Swift-Hohenberg equation (SH35) has been proposed as an order parameter descr...
We study relative stability properties of different clusters of closely packed one- and two-dimensio...
Stable localized roll structures have been observed in many physical problems and model equations, n...
The complex Swift-Hohenberg equation models pattern formation arising from an oscillatory instabilit...
Continuous neural field models with inhomogeneous synaptic connectivities are known to support trave...
Homoclinic snaking is a term used to describe the back and forth oscillation of a branch of time-ind...
Continuous neural field models with inhomogeneous synaptic connectivities are known to support trave...
Homoclinic snaking is a term used to describe the back and forth oscillation of a branch of time-ind...
We consider the discrete Swift-Hohenberg equation with cubic and quintic nonlinearity, obtained from...
Abstract. Stable localized roll structures have been observed in many physical problems and model eq...
We consider a one-dimensional Swift-Hohenberg equation coupled to a conservation law, where both equ...
We investigate the bifurcation structure of stationary localized patterns of the two dimensional Swi...
International audienceWe study the existence of dislocations in an anisotropic Swift-Hohenberg equat...
International audienceWe study the existence of dislocations in an anisotropic Swift-Hohenberg equat...
The conserved Swift-Hohenberg equation with cubic nonlinearity provides the simplest microscopic des...
The cubic-quintic Swift-Hohenberg equation (SH35) has been proposed as an order parameter descr...
We study relative stability properties of different clusters of closely packed one- and two-dimensio...
Stable localized roll structures have been observed in many physical problems and model equations, n...
The complex Swift-Hohenberg equation models pattern formation arising from an oscillatory instabilit...
Continuous neural field models with inhomogeneous synaptic connectivities are known to support trave...
Homoclinic snaking is a term used to describe the back and forth oscillation of a branch of time-ind...
Continuous neural field models with inhomogeneous synaptic connectivities are known to support trave...
Homoclinic snaking is a term used to describe the back and forth oscillation of a branch of time-ind...