Dependence of Equilibrium Stability of First Order Lagrange Systems on Parameters

SONG Duan

doi:10.3879/j.issn.1000-0887.2014.06.011

Volume 35 Issue 6

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SONG Duan. Dependence of Equilibrium Stability of First Order Lagrange Systems on Parameters[J]. Applied Mathematics and Mechanics, 2014, 35(6): 692-696. doi: 10.3879/j.issn.1000-0887.2014.06.011

Citation:

SONG Duan. Dependence of Equilibrium Stability of First Order Lagrange Systems on Parameters[J]. Applied Mathematics and Mechanics, 2014, 35(6): 692-696. doi: 10.3879/j.issn.1000-0887.2014.06.011

Citation:

SONG Duan. Dependence of Equilibrium Stability of First Order Lagrange Systems on Parameters[J]. Applied Mathematics and Mechanics, 2014, 35(6): 692-696. doi: 10.3879/j.issn.1000-0887.2014.06.011

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Dependence of Equilibrium Stability of First Order Lagrange Systems on Parameters

doi: 10.3879/j.issn.1000-0887.2014.06.011

SONG Duan

Department of Imaging Physics, Eastern Liaoning University,Dandong, Liaoning 118001, P.R.China

Funds: The National Natural Science Foundation of China（10932002;11272050）

Received Date: 2014-01-20
Rev Recd Date: 2014-05-14
Publish Date: 2014-06-11

Abstract

Abstract

Steady first order Lagrange systems with additive terms were considered as gradient systems under certain conditions. The characteristics of the gradient system were used to study the equilibrium stability and its dependence on the parameters of the system. With two examples, the first order Lagrange systems’ stability domains were given in the parameter plane. Further, the analytical results indicate that change of the parameters not only influence the systems’ stability, but also influence the quantity of the equilibrium points.
- first order Lagrange system,
- gradient system,
- stability,
- parameter

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References(10)

References

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