Lattice differential equations. Abstracts from the workshop held September 15--21, 2013.

DOI10.4171/OWR/2013/46zbMath1349.00199OpenAlexW2052943414MaRDI QIDQ347167

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Publication date: 30 November 2016

Published in: Oberwolfach Reports (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/owr/2013/46

Mathematics Subject Classification ID

Proceedings of conferences of miscellaneous specific interest (00B25) Collections of abstracts of lectures (00B05) Proceedings, conferences, collections, etc. pertaining to ordinary differential equations (34-06) Ordinary lattice differential equations (34A33) Lattice functional-differential equations (34K31)

Cites Work

• Small divisors with spatial structure in infinite dimensional Hamiltonian systems
• Quasi-periodic breathers in Hamiltonian networks of long-range coupling
• Localization in disordered, nonlinear dynamical systems
• Construction of quasi-periodic breathers via KAM technique
• Quasiperiodic breathers in Hamiltonian lattices with symmetries
• Existence and stability of quasiperiodic breathers in the discrete nonlinear Schrödinger equation
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
• Exponential stability of breathers in Hamiltonian networks of weakly coupled oscillators
• A KAM theorem for Hamiltonian networks with long ranged couplings

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