𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Bifurcation in a parametrically excited two-degree-of-freedom nonlinear oscillating system with 1∶2 internal resonance

✍ Scribed by Ji Jinchen; Chen Yushu

Publisher
Springer
Year
1999
Tongue
English
Weight
452 KB
Volume
20
Category
Article
ISSN
0253-4827

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

BIFURCATION AND AMPLITUDE MODULATED MOTI
BIFURCATION AND AMPLITUDE MODULATED MOTIONS IN A PARAMETRICALLY EXCITED TWO-DEGREE-OF-FREEDOM NON-LINEAR SYSTEM
✍ J.-C. JI; L. YU; Y.-S. CHEN 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 278 KB

The non-linear response of a T-shaped beam}mass structure is investigated theoretically and experimentally for the case of one-to-two internal resonance and principal parametric resonance of the lower mode. The method of multiple scales is used to determine four "rst order amplitude-and phase-modula

Non-linear oscillations of a Hamiltonian
Non-linear oscillations of a Hamiltonian system with two degrees of freedom with 2:1 resonance
✍ O.V. Kholostova 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 728 KB

The motions of an autonomous Hamiltonian system with two degrees of freedom close to an equilibrium position, stable in the linear approximation, are considered. It is assumed that in this neighbourhood the quadratic part of the Hamiltonian of the system is sign-variable, and the ratio of the freque

The orbital stability of periodic motion
The orbital stability of periodic motions of a Hamiltonian system with two degrees of freedom in the case of 3:1 resonance
✍ B.S. Bardin 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 344 KB

The problem of the orbital stability of periodic motions, produced from an equilibrium position of an autonomous Hamiltonian system with two degrees of freedom is considered. The Hamiltonian function is assumed to be analytic and alternating in a certain neighbourhood of the equilibrium position, th