Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Nonlinear_system> ?p ?o }
- Nonlinear_system abstract "In physics and other sciences, a nonlinear system, in contrast to a linear system, is a system which does not satisfy the superposition principle – meaning that the output of a nonlinear system is not directly proportional to the input. In mathematics, a nonlinear system of equations is a set of simultaneous equations in which the unknowns (or the unknown functions in the case of differential equations) appear as variables of a polynomial of degree higher than one or in the argument of a function which is not a polynomial of degree one. In other words, in a nonlinear system of equations, the equation(s) to be solved cannot be written as a linear combination of the unknown variables or functions that appear in them. It does not matter if nonlinear known functions appear in the equations. In particular, a differential equation is linear if it is linear in terms of the unknown function and its derivatives, even if nonlinear in terms of the other variables appearing in it.Typically, the behavior of a nonlinear system is described by a nonlinear system of equations.Nonlinear problems are of interest to engineers, physicists and mathematicians and many other scientists because most systems are inherently nonlinear in nature. As nonlinear equations are difficult to solve, nonlinear systems are commonly approximated by linear equations (linearization). This works well up to some accuracy and some range for the input values, but some interesting phenomena such as chaos and singularities are hidden by linearization. It follows that some aspects of the behavior of a nonlinear system appear commonly to be chaotic, unpredictable or counterintuitive. Although such chaotic behavior may resemble random behavior, it is absolutely not random. For example, some aspects of the weather are seen to be chaotic, where simple changes in one part of the system produce complex effects throughout. This nonlinearity is one of the reasons why accurate long-term forecasts are impossible with current technology.".
- Nonlinear_system wikiPageExternalLink cnls.lanl.gov.
- Nonlinear_system wikiPageExternalLink fydik.kitnarf.cz.
- Nonlinear_system wikiPageExternalLink linearnonlinear.html.
- Nonlinear_system wikiPageExternalLink index.htm.
- Nonlinear_system wikiPageExternalLink 12-006j-nonlinear-dynamics-i-chaos-fall-2006.
- Nonlinear_system wikiPageExternalLink interalg.
- Nonlinear_system wikiPageExternalLink non-linear.
- Nonlinear_system wikiPageExternalLink www.dodccrp.org.
- Nonlinear_system wikiPageExternalLink models.htm.
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- Nonlinear_system wikiPageWikiLink AC_power_flow_model.
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- Nonlinear_system wikiPageWikiLink Category:Concepts_in_physics.
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- Nonlinear_system wikiPageWikiLink Chaos_theory.
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- Nonlinear_system wikiPageWikiLink File:PendulumLinearizations.png.
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- Nonlinear_system wikiPageWikiLink Function_(mathematics).
- Nonlinear_system wikiPageWikiLink General_relativity.
- Nonlinear_system wikiPageWikiLink Ginzburg–Landau_equation.
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- Nonlinear_system wikiPageWikiLink Ishimori_equation.
- Nonlinear_system wikiPageWikiLink Korteweg–de_Vries_equation.
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- Nonlinear_system wikiPageWikiLink Landau–Lifshitz–Gilbert_equation.
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- Nonlinear_system wikiPageWikiLink List_of_nonlinear_partial_differential_equations.
- Nonlinear_system wikiPageWikiLink Liénard_equation.
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- Nonlinear_system wikiPageWikiLink Lotka–Volterra_equation.
- Nonlinear_system wikiPageWikiLink Lotka–Volterra_equations.
- Nonlinear_system wikiPageWikiLink Lyapunov_function.
- Nonlinear_system wikiPageWikiLink Map_(mathematics).
- Nonlinear_system wikiPageWikiLink Mathematical_singularity.
- Nonlinear_system wikiPageWikiLink Mathematician.
- Nonlinear_system wikiPageWikiLink Mathematics.
- Nonlinear_system wikiPageWikiLink Method_of_characteristics.
- Nonlinear_system wikiPageWikiLink Mode_coupling.
- Nonlinear_system wikiPageWikiLink Multistability.
- Nonlinear_system wikiPageWikiLink Navier-Stokes_equations.
- Nonlinear_system wikiPageWikiLink Navier–Stokes_equations.
- Nonlinear_system wikiPageWikiLink Nonelementary_integral.
- Nonlinear_system wikiPageWikiLink Nonlinear_Schrödinger_equation.
- Nonlinear_system wikiPageWikiLink Nonlinear_optics.
- Nonlinear_system wikiPageWikiLink Nonlinear_system_identification.