Occurrence of multiple attractor bifurcations in the two-dimensional piecewise linear normal form map
| Autor: | Michael Schanz, Soumitro Banerjee, Viktor Avrutin |
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| Rok vydání: | 2011 |
| Předmět: |
Dynamical systems theory
Applied Mathematics Mechanical Engineering Mathematical analysis Physical system Aerospace Engineering Ocean Engineering Parameter space Nonlinear Sciences::Chaotic Dynamics Piecewise linear function Control and Systems Engineering Attractor Piecewise Electrical and Electronic Engineering Mathematics |
| Zdroj: | Nonlinear Dynamics. 67:293-307 |
| ISSN: | 1573-269X 0924-090X |
| DOI: | 10.1007/s11071-011-9978-5 |
| Popis: | Multiple attractor bifurcations occurring in piecewise smooth dynamical systems may lead to potentially damaging situations. In order to avoid these in physical systems, it is necessary to know their conditions of occurrence. Using the piecewise-linear 2D normal form, we investigate which types of multiple attractor bifurcations may occur and where in the parameter space they can be expected. For piecewise smooth maps, multiple attractor bifurcations will be expected to occur if the condition we identified for the piecewise-linear 2D normal form are satisfied in the close neighborhood of the border. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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