𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Stability Analysis Of The Non-Linear Mathieu Equation

✍ Scribed by M. Mond; G. Cederbaum; P.B. Khan; Y. Zarmi


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
348 KB
Volume
167
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

✦ Synopsis


The non-linear Mathieu equation is analyzed within the framework of the method of normal forms. Analytical conditions for explosive instability are obtained, and expressions for the period as well as the amplitude of the stable response are derived.


πŸ“œ SIMILAR VOLUMES


Numerical stability of dynamic relaxatio
✍ A. C. Cassell; R. E. Hobbs πŸ“‚ Article πŸ“… 1976 πŸ› John Wiley and Sons 🌐 English βš– 201 KB

## Abstract The estimation of the parameters (β€˜fictitious densities’) which control the convergence and numerical stability of a non‐linear Dynamic Relaxation solution is described. The optimal values of these parameters vary during the iterative solution and they are predicted from the GerschgΓΆrin

Semi-internal Stabilization for a Non-li
✍ Marius Tucsnak πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 374 KB πŸ‘ 1 views

We consider a non-linear plate equation of Bernoulli-Euler type with a locally distributed damping term. Our main result asserts that if the damping is effective in a neighbourhood of the boundary then the energy decays exponentially. The method we use is a combination of multiplier techniques and o

Non-perturbative stability analysis of p
✍ K.-E. Thylwe; E. Gravador πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 495 KB

A linear stability theory for non-linear periodic solutions is presented in which higher order phase-integral asymptotic approximations are used. The stability matrix is derived in an exact formalism which combines Floquet and phase-integral theory. The periodic responses are assumed given in analyt