A novel preserved partial order for cooperative networks of units with overdamped second order dynamics, and application to tilted Frenkel–Kontorova chains

DOI10.1088/0951-7715/17/2/012zbMath1052.34044OpenAlexW2033743619MaRDI QIDQ4810811

Claude Baesens, Robert S. MacKay

Publication date: 16 August 2004

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/17/2/012

zbMATH Keywords

attracting solutionscooperative networksmonotone flowsecond-order ordinary differential equation in sequence spaces

Mathematics Subject Classification ID

Attractors of solutions to ordinary differential equations (34D45) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Monotone systems involving ordinary differential equations (34C12) Monotone flows as dynamical systems (37C65)

Related Items (12)

Dynamics of the overdamped coupled Josephson junctions with an interference term ⋮ Stability of synchronization in dissipatively driven Frenkel-Kontorova models ⋮ Sliding paths for series of Frenkel-Kontorova models -- a contribution to the concept of 1D-superlubricity ⋮ Existence and modulation of uniform sliding states in driven and overdamped particle chains ⋮ Uniform sliding states in the undamped Frenkel-Kontorova model ⋮ Traveling waves in the underdamped Frenkel-Kontorova model ⋮ Modulation of uniform motion in diatomic Frenkel-Kontorova model ⋮ Discrete rotating waves in a ring of coupled mechanical oscillators with strong damping ⋮ Random matrix ensembles in hyperchaotic classical dissipative dynamic systems ⋮ Homogenization of accelerated Frenkel-Kontorova models with $n$ types of particles ⋮ Rotation number of the overdamped Frenkel-Kontorova model with ac-driving ⋮ The transport speed and optimal work in pulsating Frenkel-Kontorova models

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