A proof that the Lorenz equations have a homoclinic orbit (Q1336342)
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scientific article; zbMATH DE number 665727
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A proof that the Lorenz equations have a homoclinic orbit |
scientific article; zbMATH DE number 665727 |
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A proof that the Lorenz equations have a homoclinic orbit (English)
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1 March 1995
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This is one of several papers the goal of which consists in a rigorous verification of the conclusions obtained with the assistance of computers. Here a shooting-type method is applied to prove analytically the existence of a homoclinic orbit, namely a nonconstant solution of the Lorenz system, tending to the same equilibrium point \((0,0,0)\) at \(\pm\infty\). The associated set of parameter values is open.
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rigorous verifications
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computers
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shooting-type method
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homoclinic orbit
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Lorenz system
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0.9473951
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0.92007995
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0.9150069
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0.91356784
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0.9000316
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