Transition to chaos in nonlinear dynamical systems through a subharmonic cascade of bifurcations of two-dimensional tori (Q1779889)
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scientific article; zbMATH DE number 2173679
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Transition to chaos in nonlinear dynamical systems through a subharmonic cascade of bifurcations of two-dimensional tori |
scientific article; zbMATH DE number 2173679 |
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Transition to chaos in nonlinear dynamical systems through a subharmonic cascade of bifurcations of two-dimensional tori (English)
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2 June 2005
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Taking as an example the complex system of the Lorenz equations, the authors show that in complicated nonlinear systems described by differential equations, a passage to chaos after generation of a two-dimensional torus \(\mathbb T^2\) can take place not only via generation of a three-dimensional torus \(\mathbb T^3\) and its subsequent destruction, but also through a subharmonic cascade of bifurcations of two-dimensional tori.
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Lorenz equation
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transition to chaos
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subharmonic cascade of bifurcations of \(\mathbb T^2\)
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