Abstract
The Lorenz equations are studied from the point of view of the possibilty to drive the system from a state to another one by acting on the Rayleigh number as a (control) function of time. It is shown that it is numerically possible, and the obtained control and trajectories have a good behaviour. However if we stop controlling at some time during the transfer, the system may evolve in a chaotic way.
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© 1991 Birkhäuser Verlag Basel
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Luce, R., Kernévez, J.P. (1991). Controllability of Lorenz Equation. In: Seydel, R., Schneider, F.W., Küpper, T., Troger, H. (eds) Bifurcation and Chaos: Analysis, Algorithms, Applications. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 97. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7004-7_33
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DOI: https://doi.org/10.1007/978-3-0348-7004-7_33
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-7006-1
Online ISBN: 978-3-0348-7004-7
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