Basin boundaries with fractal and smooth accumulation properties in systems with single potential well (Q1809580)
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scientific article; zbMATH DE number 1370434
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Basin boundaries with fractal and smooth accumulation properties in systems with single potential well |
scientific article; zbMATH DE number 1370434 |
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Basin boundaries with fractal and smooth accumulation properties in systems with single potential well (English)
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15 February 2000
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Simulation of the equation \(\ddot{x}_\beta x +(1+F\sin\omega t)(x+x^3)=0.1 F\sin(\omega t)\) are discussed related with a bifurcation of passing two periodic solutions through saddle-node one that can lead to the complexification of a basin boundary of one periodic solution in dependence on the presence of homo- or heteroclinic solution for another periodic solution.
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basin boundary
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saddle-node
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bifurcation
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simulation
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periodic solutions
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homo- or heteroclinic solution
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