DISSIPATIVE SOLITONS AND COMPLEX CURRENTS IN ACTIVE LATTICES

DOI10.1142/S0218127406015568zbMath1118.35346MaRDI QIDQ5292317

A. P. Chetverikov, Manuel G. Velarde, Werner Ebeling

Publication date: 20 June 2007

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

anharmonicityToda latticesuperconductivitydissipative solitonsToda-Brownian particles

Mathematics Subject Classification ID

Soliton equations (35Q51) Motion of charged particles (78A35) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60)

Related Items (9)

Localized nonlinear, soliton-like waves in two-dimensional anharmonic lattices ⋮ Logical Gates Implemented by Solitons at the Junctions Between One-Dimensional Lattices ⋮ Single and multi-vertices solitons in lattices of active Morse-van der Pol units ⋮ Dissipative Solitons and Metastable States in a Chain of Active Particles ⋮ Chaotic discrete breathers and their effect on macroscopic properties of triangular lattice ⋮ Variational Approximation to Electron Trapping by Soliton-Like Localized Excitations in One-Dimensional Anharmonic Lattices ⋮ ELECTRON TRAPPING BY SOLITONS: CLASSICAL VERSUS QUANTUM MECHANICAL APPROACH ⋮ Effect of discrete breathers on the specific heat of a nonlinear chain ⋮ From polaron to solectron: the addition of nonlinear elasticity to quantum mechanics and its possible effect upon electric transport

Cites Work

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• ON SOLITON-MEDIATED FAST ELECTRIC CONDUCTION IN A NONLINEAR LATTICE WITH MORSE INTERACTIONS
• Brownian agents and active particles. Collective dynamics in the natural and social sciences. With a foreword by J. Doyne Farmer.
• Nonlinear dynamics and fluctuations of dissipative Toda chains

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