On chaos and fractal behavior in a generalized Duffing's system (Q1119243)
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scientific article; zbMATH DE number 4098351
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On chaos and fractal behavior in a generalized Duffing's system |
scientific article; zbMATH DE number 4098351 |
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On chaos and fractal behavior in a generalized Duffing's system (English)
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1988
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Three necessary preconditions for chaos to occur when the value of a parameter is increasing are suggested via numerical investigation of attracting basin structure (includng absorption rates) of three Duffing type equations as the following: (1) a sensitivity to initial conditions, (2) fractally locally disconnected ratios in the absorption rate diagram, and (3) the existence of one stable and one unstable equilibrium.
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Duffing's system
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chaos
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attracting basin structure
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absorption rates
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