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- 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 it (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.
- Nonlinear_system wikiPageID "146103".
- Nonlinear_system wikiPageRevisionID "603153325".
- Nonlinear_system hasPhotoCollection Nonlinear_system.
- Nonlinear_system subject Category:Concepts_in_physics.
- Nonlinear_system subject Category:Dynamical_systems.
- Nonlinear_system subject Category:Nonlinear_systems.
- Nonlinear_system comment "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.".
- Nonlinear_system label "Nichtlineares System".
- Nonlinear_system label "Nieliniowość".
- Nonlinear_system label "Niet-lineair systeem".
- Nonlinear_system label "No linealidad".
- Nonlinear_system label "Non-linéarité".
- Nonlinear_system label "Nonlinear system".
- Nonlinear_system label "Sistema dinâmico não linear".
- Nonlinear_system label "Sistema non lineare".
- Nonlinear_system label "Нелинейная динамика".
- Nonlinear_system label "نظام لاخطي".
- Nonlinear_system label "非線性".
- Nonlinear_system sameAs Nichtlineares_System.
- Nonlinear_system sameAs No_linealidad.
- Nonlinear_system sameAs Non-linéarité.
- Nonlinear_system sameAs Sistem_nonlinier.
- Nonlinear_system sameAs Sistema_non_lineare.
- Nonlinear_system sameAs 非線型システム論.
- Nonlinear_system sameAs 비선형.
- Nonlinear_system sameAs Niet-lineair_systeem.
- Nonlinear_system sameAs Nieliniowość.
- Nonlinear_system sameAs Sistema_dinâmico_não_linear.
- Nonlinear_system sameAs m.012m2q.
- Nonlinear_system sameAs Q660848.
- Nonlinear_system sameAs Q660848.
- Nonlinear_system wasDerivedFrom Nonlinear_system?oldid=603153325.
- Nonlinear_system isPrimaryTopicOf Nonlinear_system.