Abstract
An easy and apparent physical interpretation of the Lyapunov function as a potential or as a time-dependent entropy provides one with more details about the local dynamics of the system at non-equilibrium phase transition points. The application of the Lyapunov theory for critical cases has been done in this work to the real Lorenz equations and this showed, in particular, that increasing {sigma} at the Hopf bifurcation point suppresses the contribution of one of the variables to the destabilization of the system. (author). 20 refs.
Bakasov, A A;
[1]
Govorkov, Jr, B B
[2]
- International Centre for Theoretical Physics, Trieste (Italy)
- Joint Inst. for Nuclear Research, Dubna (Russian Federation). Lab. of Theoretical Physics
Citation Formats
Bakasov, A A, and Govorkov, Jr, B B.
Analysis of destabilization at the second laser threshold by the Lyapunov direct method.
IAEA: N. p.,
1992.
Web.
Bakasov, A A, & Govorkov, Jr, B B.
Analysis of destabilization at the second laser threshold by the Lyapunov direct method.
IAEA.
Bakasov, A A, and Govorkov, Jr, B B.
1992.
"Analysis of destabilization at the second laser threshold by the Lyapunov direct method."
IAEA.
@misc{etde_10132306,
title = {Analysis of destabilization at the second laser threshold by the Lyapunov direct method}
author = {Bakasov, A A, and Govorkov, Jr, B B}
abstractNote = {An easy and apparent physical interpretation of the Lyapunov function as a potential or as a time-dependent entropy provides one with more details about the local dynamics of the system at non-equilibrium phase transition points. The application of the Lyapunov theory for critical cases has been done in this work to the real Lorenz equations and this showed, in particular, that increasing {sigma} at the Hopf bifurcation point suppresses the contribution of one of the variables to the destabilization of the system. (author). 20 refs.}
place = {IAEA}
year = {1992}
month = {Nov}
}
title = {Analysis of destabilization at the second laser threshold by the Lyapunov direct method}
author = {Bakasov, A A, and Govorkov, Jr, B B}
abstractNote = {An easy and apparent physical interpretation of the Lyapunov function as a potential or as a time-dependent entropy provides one with more details about the local dynamics of the system at non-equilibrium phase transition points. The application of the Lyapunov theory for critical cases has been done in this work to the real Lorenz equations and this showed, in particular, that increasing {sigma} at the Hopf bifurcation point suppresses the contribution of one of the variables to the destabilization of the system. (author). 20 refs.}
place = {IAEA}
year = {1992}
month = {Nov}
}