Numerical simulations of periodic and chaotic responses in a stable Duffing system (Q1095614)
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scientific article; zbMATH DE number 4028798
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical simulations of periodic and chaotic responses in a stable Duffing system |
scientific article; zbMATH DE number 4028798 |
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Numerical simulations of periodic and chaotic responses in a stable Duffing system (English)
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1987
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A hard spring Duffing system is examined by numerical simulations in order to obtain a better understanding of the behavior of periodic and chaotic responses. There is a duality for both periodic and chaotic responses. Period doubling does exist and this process may originate from different basic responses even with the same forcing frequency. The evolution of chaos is shown by a sequence of Poincaré maps. Finally a possible pattern for transition to chaos is suggested.
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hard spring Duffing system
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numerical simulations
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periodic and chaotic responses
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Period doubling
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evolution of chaos
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Poincaré maps
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transition to chaos
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