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Stationary self-organized states in many-particle systems with ternary interactions

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Publication:1412561
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DOI10.1016/S0096-3003(02)00614-8zbMath1030.81022MaRDI QIDQ1412561

Tadeusz Płatkowski

Publication date: 25 November 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)


zbMATH Keywords

Stabilitycellular automaton modelstability of solutionsSelf-organizationnonlinear effectscontinuum descriptioncross interactionshomogeneous stateself interactionsTernary interactionsthird-order interactions


Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Bifurcation theory for random and stochastic dynamical systems (37H20) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Dynamical systems over complex numbers (37F99)


Related Items

Evolution of populations playing mixed multiplayer games, Spatial self-organization in three-component mixtures



Cites Work

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  • Multi-player matrix games
  • Quantitative sociodynamics. Stochastic methods and models of social interaction processes. Transl. from the German by Richard Calek and Dirk Helbing
  • Optimal self-organization
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