Results 21 to 30 of about 84,144,549 (259)
Observavility Brunovsky normal form: Multi-output linear dynamical systems [PDF]
2009 American Control Conference, 2009 This paper gives the sufficient and necessary conditions to guarantee the existence of a linear change of coordinates to transform a multi-output linear dynamical system (modulo a nonlinear term depending on inputs and outputs) in the observability Brunovsky canonical form.
Boutat, Driss +2 more
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, 2020 Code to numerically integrate a model for neural population dynamics in birdsong ...
dynamical-systems-laboratory-ar
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Normal form transformations for structural dynamics: An introduction for linear and nonlinear systems. [PDF]
Journal of Structural Dynamics, 2022 The aim of this paper is to provide an introduction to using normal form transformations for linear and nonlinear structural dynamics examples. Starting with linear single-degree-of-freedom systems, a series of examples are presented that eventually lead to the analysis of a system of two coupled nonlinear oscillators.
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Normal form transforms separate slow and fast modes in stochastic dynamical systems [PDF]
, 2008 © 2007 Elsevier B.V. All rights reserved.Modelling stochastic systems has many important applications. Normal form coordinate transforms are a powerful way to untangle interesting long term macroscale dynamics from insignificant detailed microscale ...
Roberts, A. +2 more
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Self-similar cuspidal formation by runaway thermocapillary forces in thin liquid films
New Journal of Physics, 2019 Many physical systems give rise to dynamical behavior leading to cuspidal shapes which represent a singularity of the governing equation. The cusp tip often exhibits self-similarity as well, indicative of scaling symmetry invariant in time up to a change
Chengzhe Zhou, Sandra M Troian
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Single-Mode and Dual-Mode Nongomogeneous Dissipative Structures in the Nonlocal Model of Erosion
Моделирование и анализ информационных систем, 2015 We consider a periodic boundary-value problem for a nonlinear equation with the deviating spatial argument in the case when the deviation is small. This equation is called a spatially nonlocal erosion equation.
A. M. Kovaleva, D. A. Kulikov
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Resonances in a spring-pendulum: algorithms for equivariant singularity theory [PDF]
, 1998 A spring-pendulum in resonance is a time-independent Hamiltonian model system for formal reduction to one degree of freedom, where some symmetry (reversibility) is maintained.
Vegter, G +15 more
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Physical Review Special Topics. Accelerators and Beams, 2013 We present a mathematical analysis of planar motion of energetic electrons moving through a planar dipole undulator, excited by a fixed planar polarized plane wave Maxwell field in the x-ray free electron laser (FEL) regime.
James A. Ellison +3 more
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Chaos on Fuzzy Dynamical Systems
, 2021 Given a continuous map f:X→X on a metric space, it induces the maps f¯:K(X)→K(X), on the hyperspace of nonempty compact subspaces of X, and f^:F(X)→F(X), on the space of normal fuzzy sets, consisting of the upper semicontinuous functions u:X→[0,1] with ...
Félix Martínez-Giménez +2 more
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State maps from bilinear differential forms [PDF]
, 2010 State equations need often to be constructed from a higher-order model of a system, resulting for example from the interconnection of subsystems, or from system identification procedures.
van der Schaft, Arjan +5 more
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