TY - GEN
T1 - Analytical prediction of the transition to chaos in Lorenz system
AU - Vadasz, Peter
PY - 2009
Y1 - 2009
N2 - The failure of the linear stability analysis to predict accurately the transition point from steady to chaotic solutions in Lorenz equations motivates this study. A weak non-linear solution to the problem is shown to produce an accurate analytical expression for the transition point as long as the validity condition and consequent accuracy of the latter solution is fulfilled. The analytical results are compared to accurate computational solutions showing an excellent fit within the validity domain of the analytical solution.
AB - The failure of the linear stability analysis to predict accurately the transition point from steady to chaotic solutions in Lorenz equations motivates this study. A weak non-linear solution to the problem is shown to produce an accurate analytical expression for the transition point as long as the validity condition and consequent accuracy of the latter solution is fulfilled. The analytical results are compared to accurate computational solutions showing an excellent fit within the validity domain of the analytical solution.
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M3 - Conference contribution
AN - SCOPUS:70349148237
SN - 9780791848364
T3 - 2008 Proceedings of the 9th Biennial Conference on Engineering Systems Design and Analysis
SP - 799
EP - 803
BT - 2008 Proceedings of the 9th Biennial Conference on Engineering Systems Design and Analysis
T2 - 2008 9th Biennial Conference on Engineering Systems Design and Analysis
Y2 - 7 July 2008 through 9 July 2008
ER -