𝔖 Bobbio Scriptorium
✦   LIBER   ✦

PHASE-SPACE LINEARIZATION FOR NON-LINEAR OSCILLATORS: DETERMINISTIC AND STOCHASTIC SYSTEMS

✍ Scribed by D. ROY


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
633 KB
Volume
231
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


EXTENSIONS OF THE PHASE SPACE LINEARIZAT
✍ R.N. Iyengar; D. Roy πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 482 KB

This paper is devoted to further exploration of the PSL technique developed earlier in its companion paper. To start with, it is shown that the method is not only appicable for obtaining one-periodic orbits, but can be made use of for obtaining every conceivable orbit, including subharmonic or perio

NON-CHAOTIC RESPONSE OF NON-LINEAR OSCIL
✍ D. ROY πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 356 KB

Non-linear oscillators under harmonic and/or weak stochastic excitations are considered in this paper. Under harmonic excitations alone, an analytical technique based on a set of exponential transformations followed by harmonic balancing is proposed to solve for a variety of one-periodic orbits. The

Weak Solutions of Deterministic and Stoc
✍ Constantin Tudor πŸ“‚ Article πŸ“… 1991 πŸ› John Wiley and Sons 🌐 English βš– 440 KB

In the paper it is shown that weak solutions of linear deterministic and stochastic retarded equations in HILBERT spaces are given by a variation of constants formula. Also, in the deterministic case, a characterization of the unbounded operator appearing in the term without delay is given. ') The

NON-LINEAR NORMAL MODES AND NON-PARAMETR
✍ X. MA; M.F.A. AZEEZ; A.F. VAKAKIS πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 224 KB

The Karhunen}Loeve (K}L) decomposition procedure is applied to a system of coupled cantilever beams with non-linear grounding sti!nesses and a system of non-linearly coupled rods. The former system possesses localized non-linear normal modes (NNMs) for certain values of the coupling parameters and h