𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Bifurcations in a parametrically excited non-linear oscillator

✍ Scribed by A.K. Bajaj


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
972 KB
Volume
22
Category
Article
ISSN
0020-7462

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Bifurcations of strongly non-linear self
✍ Arjen Doelman; Ferdinand Verhulst πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 1000 KB

## Abstract Perturbation of a single‐degree‐of‐freedom conservative oscillator leads to the emergence and vanishing of periodic solutions and to various types of self‐excited oscillations. Using techniques from dynamical systems theory, in particular a certain PoincarΓ© map, we establish the presenc

GLOBAL BEHAVIOR OF A BIASED NON-LINEAR O
✍ N.E. Sanchez; A.H. Nayfeh πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 206 KB

In this work we expand our research on the global behavior of non-linear oscillators under external and parametric excitations. We consider a non-linear oscillator simultaneously excited by parametric and external functions. The oscillator has a bias parameter that breaks the symmetry of the motion.

BIFURCATION AND AMPLITUDE MODULATED MOTI
✍ J.-C. JI; L. YU; Y.-S. CHEN πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 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

STUDY OF A NON-LINEAR OSCILLATOR UNDER P
✍ V.N. Pilipchuk; S.A. Volkova; G.A. Starushenko πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 262 KB

Solutions of dierential equations of motion for mechanical systems with periodic impulsive excitation are represented in a special form which contains a standard pair of non-smooth periodic functions and possesses the structure of an algebra without division. This form is also suitable in the case o

PITCHFORK-TYPE BIFURCATIONS IN A PARAMET
✍ T.P. BUCKLAEW; C.-S. LIU πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 494 KB

In this paper, the e!ect of a vibrating support base upon the behavior of a simple robotic manipulator with PD control is examined. The physical system to be controlled, i.e., the plant, is modelled initially as an inverted pendulum. The vibrating support generates a time-periodic parametric excitat