Chaotic instability in a vibration phenomenon, known as brake squeal, is investigated including the combined effects of falling friction, sprag-slip and mode coupling. Brake squeal high-pitched noise that occurs sometimes when vehicle decelerated using disc brakes. The equations motion for two dominant coupled modes system reduce to autonomous nonlinear second-order systems. coupling via fricti...

New deformations of the Poincare group Fun(P (1 + 1)) and its dual enveloping algebra U(p(1 + 1)) are obtained as a contraction of the hdeformed (Jordanian) quantum group Fun(SLh(2)) and its dual. A nonstandard quantization of the Heisenberg algebra U(h(1)) is also investigated. Ref. SISSA: 85/96/FM Off late, considerable interest has been generated towards the nonstandard quantization of Lie g...

My reasons for writing this story were stimulated by the discussion in The American Mathematical Monthly between Peter Hilton and Jean Pederson on the one hand and Branko Grunbaum and G. C. Shephard on the other hand [HP] [GS]. The discussion as well as my story involves the Euler-Poincare Number, alias the Euler Characteristic. The discussion centers on whether the Euler-Poincare Number should...

We show the presence of Poincare anomaly in Maxwell-Chern-Simons theory = with an explicit mass term, in 2+1-dimensions.

A system of autonomous differential equations with a stable limit cycle and perturbed by small white noise is analyzed in this work. In the vicinity of the limit cycle of the unperturbed deterministic system, we define, construct, and analyze the Poincare map of the randomly perturbed periodic motion. We show that the time of the first exit from a small neighborhood of the fixed point of the ma...

The primary resonance and nonlinear vibrations of the functionally graded graphene platelet (FGGP)-reinforced rotating pretwisted composite blade under combined external multiple parametric excitations are investigated with three different distribution patterns. FGGP-reinforced is simplified to cantilever plate reinforced by platelet. It novel simplify leakage airflow in tip clearance non-unifo...

Abstract. We investigate the dynamics of a simple pendulum coupled to a horizontal mass-spring system. The spring is assumed to have a very large stiffness value such that the natural frequency of the mass-spring oscillator, when uncoupled from the pendulum, is an order of magnitude larger than that of the oscillations of the pendulum. The leading order dynamics of the autonomous coupled system...

Presently T-wave alternans (TWA) has become a clinical index of non-invasive diagnosis for heart sudden death prediction, and detecting T-wave alternate accurately is particularly important. This paper introduces an algorithm for detecting TWA using Poincare mapping method which is a technique for nonlinear dynamic systems to display periodic behavior. Sample series of beat to beat cycles were ...