A new numeric-analytical principle for nonlinear deterministic and stochastic dynamical systems (Q2748046)
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scientific article; zbMATH DE number 1658848
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new numeric-analytical principle for nonlinear deterministic and stochastic dynamical systems |
scientific article; zbMATH DE number 1658848 |
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A new numeric-analytical principle for nonlinear deterministic and stochastic dynamical systems (English)
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26 March 2003
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locally transversal linearization
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vector fields
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This paper deals with the new locally transversal linearization (LTL) developed by the author. The purpose is to precisely satisfy the governing nonlinear ODEs of the physical problem at a given set of points along the axis of the independent variable, which is time. This is achieved by choosing a set of conditionally linear vector fields in such a way that their form precisely matches the given nonlinear vector field and are transversal with probability 1 to this field only at these time-points.
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