This survey article reviews the theory and application of homoclinic orbits to equilibria in
reversible continuous-time dynamical systems, where the homoclinic orbit and the …

Spatially confined rigid membranes reorganize their morphology in response to imposed
constraints. Slight compression of a rigid membrane resting on a soft foundation creates a …

A long structural system with an unstable (subcritical) post-buckling response that
subsequently restabilizes typically deformsin a cellular manner, with localized buckles first …

Growing tissue and bacterial colonies are active matter systems where cell divisions and
cellular motion generate active stress. Although they operate in the non-equilibrium regime …

The apparently intractable shape of a fold in a compressed elastic film lying on a fluid
substrate is found to have an exact solution. Such systems buckle at a nonzero wave vector …

This article is concerned with the nonlinear analysis of the stability of thick elastic bodies
subjected to finite elastic deformations. The analysis is based on the theory of small elastic …

This paper addresses localization of the deformation due to buckling that occurs
immediately following the onset of bifurcation in the axisymmetric buckling of a perfect …

We study the magneto-elastic coupling behavior of paramagnetic chains in soft polymer gels
exposed to external magnetic fields. To this end, a laser scanning confocal microscope is …

Many objects in nature and industry are wrapped in a thin sheet to enhance their chemical,
mechanical, or optical properties. Similarly, there are a variety of methods for wrapping, from …

A laterally confined thin elastic sheet lying on a liquid substrate displays regular undulations,
called wrinkles, characterized by a spatially extended energy distribution and a well-defined …