The genericity of Arnold diffusion in the analytic category is an open problem. In this paper, we study this problem in the following
Assemblies of one-dimensional filaments appear in a wide range of physical systems: from biopolymer bundles, columnar liquid crystals, and superconductor vortex arrays; to familiar macroscopic materials, like ropes, cables, and textiles. Interactions between the constituent filaments in such systems are most sensitive to the
- Award ID(s):
- 1507377
- NSF-PAR ID:
- 10305120
- Publisher / Repository:
- IOP Publishing
- Date Published:
- Journal Name:
- New Journal of Physics
- Volume:
- 21
- Issue:
- 6
- ISSN:
- 1367-2630
- Page Range / eLocation ID:
- Article No. 062001
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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