non-linear dynamic systems - Definition. Was ist non-linear dynamic systems
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Was (wer) ist non-linear dynamic systems - definition

MATHEMATICAL MODEL OF A SYSTEM BASED ON THE USE OF A LINEAR OPERATOR
Linear theory; Linear systems; Time-varying impulse response; Linear Systems
  • Block diagram illustrating the additivity property for a deterministic continuous-time SISO system. The system satisfies the additivity property or is additive if and only if <math>y_3(t) = y_1(t) + y_2(t)</math> for all time <math>t</math> and for all inputs <math>x_1(t)</math> and <math>x_2(t)</math>. Click image to expand it.
  • Block diagram illustrating the homogeneity property for a deterministic continuous-time SISO system. The system satisfies the homogeneity property or is homogeneous if and only if <math>y_2(t) = a \, y_1(t)</math> for all time <math>t</math>, for all real constant <math>a</math> and for all input <math>x_1(t)</math>. Click image to expand it.
  • Block diagram illustrating the superposition principle for a deterministic continuous-time SISO system. The system satisfies the superposition principle and is thus linear if and only if <math>y_3(t) = a_1 \, y_1(t) + a_2 \, y_2(t)</math> for all time <math>t</math>, for all real constants <math>a_1</math> and <math>a_2</math> and for all inputs <math>x_1(t)</math> and <math>x_2(t)</math>. Click image to expand it.

Non-linear editing         
FORM OF AUDIO, VIDEO, OR IMAGE EDITING ONLY POSSIBLE WITH COMPUTER TECHNOLOGY; SUCCEEDING TECHNOLOGY OF LINEAR EDITING
Non-linear video editing; Non-linear editor; Non linear editing; Non liear editing; Non linear editor; Nichtlinearer Videoschnitt; Non-destructive editing; Non destructive editing; NLVE; Digital non-linear editing system; Home video editing; Non-Linear editing system; Non-linear video editor; Nonlinear editing; Nonlinear video; Nonlinear video editing; Non-destructive edits; Video compositor; Digital video editing; Non-linear editing system
Non-linear editing is a form of offline editing for audio, video, and image editing. In offline editing, the original content is not modified in the course of editing.
Non-linear effects         
  • Figure 10: When the homochiral complexes are more selective and reactive than the heterochiral complexes.<ref name="Kaganangew" />
  • Figure 9: When the heterochiral complexes are more selective and reactive than the homochiral complexes.<ref name="Kaganangew" />
  • The relationship between the ee<sub>product</sub> and the ee<sub>catalyst</sub> in the (+)-NLE, linear, and (−)-NLE scenarios.<ref name="Oil" />
  • Figure 11: The general reaction scheme studied by Kagan and coworkers for the Sharpless epoxidation of geraniol.<ref name="Sharpless" />
  • Figure 12: A clear indication of a negative non-linear effect in the asymmetric sulfide oxidation reaction.<ref name="Guillaneux" />
PROCESS IN WHICH THE ENANTIOPURITY OF THE CATALYST OR CHIRAL AUXILIARY DOES NOT CORRESPOND WITH THE ENANTIOPURITY OF THE PRODUCT PRODUCED
User:Kr.schaefer/Non-linear effects
In enantioselective synthesis, a non-linear effect refers to a process in which the enantiopurity of the catalyst or chiral auxiliary does not correspond with the enantiopurity of the product produced. For example: a racemic catalyst would be expected to convert a prochiral substrate into a racemic product (a linear effect), but this is not always the case and a chirally enriched product can be produced instead (a non-linear effect).
Non linear piezoelectric effects in polar semiconductors         
MANIFESTATION THAT THE STRAIN INDUCED PIEZOELECTRIC POLARIZATION ALSO ON THE PRODUCT OF THE SECOND ORDER (OR HIGHER) PIEZOELECTRIC COEFFICIENTS TIMES PRODUCTS OF THE STRAIN TENSOR COMPONENTS
Non linear piezoelectric effects
Non linear piezoelectric effects in polar semiconductors are the manifestation that the strain induced piezoelectric polarization depends not just on the product of the first order piezoelectric coefficients times the strain tensor components but also on the product of the second order (or higher) piezoelectric coefficients times products of the strain tensor components. The idea was put forward for zincblende GaAs and InAs semiconductors since 2006, and then extended to all commonly used wurtzite and zincblende semiconductors.

Wikipedia

Linear system

In systems theory, a linear system is a mathematical model of a system based on the use of a linear operator. Linear systems typically exhibit features and properties that are much simpler than the nonlinear case. As a mathematical abstraction or idealization, linear systems find important applications in automatic control theory, signal processing, and telecommunications. For example, the propagation medium for wireless communication systems can often be modeled by linear systems.