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Nonlinear systems. --- Polynomials. --- Algebra --- Systems, Nonlinear --- System theory

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This conference was the third meeting organized in the framework of the European LOCNET project. The main topics discussed by this international research collaboration were localization by nonlinearity and spatial discreteness, and energy transfer (in crystals, biomolecules and Josephson arrays).

Energy transfer --- Nonlinear systems --- Systems, Nonlinear --- System theory

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The domain of nonlinear dynamical systems and its mathematical underpinnings has been developing exponentially for a century, the last 35 years seeing an outpouring of new ideas and applications and a concomitant confluence with ideas of complex systems and their applications from irreversible thermodynamics. A few examples are in meteorology, ecological dynamics, and social and economic dynamics. These new ideas have profound implications for our understanding and practice in domains involving complexity, predictability and determinism, equilibrium, control, planning, individuality, responsib

Philosophy of science --- Nonlinear systems. --- Nonlinear systems --- Philosophy. --- Systems, Nonlinear --- System theory

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In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank

Nonlinear systems --- Mathematical models. --- Systems, Nonlinear --- System theory --- Calculus of variations. --- Eigenvalues. --- Calculus of variations --- Eigenvalues

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Cosmic evolution leads from symmetry to complexity by symmetry breaking and phase transitions. The emergence of new order and structure in nature and society is explained by physical, chemical, biological, social and economic self-organization, according to the laws of nonlinear dynamics.

Symmetry. --- Complexity (Philosophy) --- Nonlinear systems. --- Systems, Nonlinear --- System theory --- Philosophy --- Emergence (Philosophy) --- Aesthetics --- Proportion