● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● Lo ca liz ed

T.C.T. Michaels, ∗ R. Kusters, 3, ∗ A.J. Dear, C. Storm, 4 J.C. Weaver, and L. Mahadevan † Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA University Paris Descartes, Center for Research and Interdisciplinarity (CRI), 10 Rue Charles V, Paris Department of Applied Physics, Eindhoven University of Technology, Eindhoven, The Netherlands Institute for Complex Molecular Systems, Eindhoven University of Technology, Eindhoven, The Netherlands (Dated: June 12, 2019)

[1]  A. Vaziri,et al.  Reprogrammable Braille on an elastic shell , 2018, Proceedings of the National Academy of Sciences.

[2]  Lihua Jin,et al.  Mechanics of wrinkle/ridge transitions in thin film/substrate systems , 2015 .

[3]  J. Dunlop,et al.  The Geometric Design and Fabrication of Actuating Cellular Structures , 2015 .

[4]  Edgar Knobloch,et al.  Spatial Localization in Dissipative Systems , 2015 .

[5]  Lihua Jin,et al.  The role of substrate pre-stretch in post-wrinkling bifurcations. , 2014, Soft matter.

[6]  T. Witten,et al.  Wrinkle to fold transition: influence of the substrate response , 2013 .

[7]  Yanping Cao,et al.  Wrinkling Phenomena in Neo-Hookean Film/Substrate Bilayers , 2012 .

[8]  Zhigang Suo,et al.  Creases in soft tissues generated by growth , 2011 .

[9]  T. Witten,et al.  Compression induced folding of a sheet: an integrable system. , 2011, Physical review letters.

[10]  E. Knobloch,et al.  Eckhaus instability and homoclinic snaking. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  L. Pocivavsek.  Beyond Wrinkles: Stress and Fold Localization in Thin Elastic Membranes , 2008 .

[12]  P. Yoo,et al.  Complex pattern formation by adhesion-controlled anisotropic wrinkling. , 2008, Langmuir : the ACS journal of surfaces and colloids.

[13]  Edgar Knobloch,et al.  Snakes and ladders: Localized states in the Swift–Hohenberg equation , 2007 .

[14]  P Coullet,et al.  A new approach to data storage using localized structures. , 2004, Chaos.

[15]  L. Mahadevan,et al.  Geometry and physics of wrinkling. , 2003, Physical review letters.

[16]  P. Drazin.  Introduction to Hydrodynamic Stability: Contents , 2002 .

[17]  P. Coullet,et al.  Stable static localized structures in one dimension , 2000, Physical review letters.

[18]  M. Ahmer Wadee,et al.  Localization and mode interaction in sandwich structures , 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[19]  Q Ouyang,et al.  Pattern Formation by Interacting Chemical Fronts , 1993, Science.

[20]  M. Cross,et al.  Pattern formation outside of equilibrium , 1993 .

[21]  Y. Pomeau.  Front motion, metastability and subcritical bifurcations in hydrodynamics , 1986 .

[22]  D. Owen.  Handbook of Mathematical Functions with Formulas , 1965 .

[23]  Mario di Bernardo,et al.  Qualitative theory of non-smooth dynamical systems , 2008 .

[24]  G. W. Hunt,et al.  Cellular Buckling in Long Structures , 2000 .

[25]  J. Swift,et al.  Hydrodynamic fluctuations at the convective instability , 1977 .

[26]  Emil Winkler,et al.  Die lehre von der elasticitaet und festigkeit mit besonderer rücksicht auf ihre anwendung in der technik, für polytechnische schulen, bauakademien, ingenieure, maschinenbauer, architecten etc. , 1867 .

[27]  H. Fujita,et al.  Ridge Localizations and Networks in Thin Films Compressed by Incremental Release of Large Equi-biaxial Substrate Pre-stretch , 2022 .