The poincaré bifurcation of a sd oscillator
WebbOscillating chemical reactions These are a famous example of the occur-rence of Hopf bifurcations: the Belousov-Zhabotinsky reaction. This is a complex set of more than 20 … WebbThe Poincaré maps of Figure 5.32 correspond to (a) conditions just after the period-doubling bifurcation, with two attractors, as already remarked; (b) more erratic motion, with a suggestion of more complex attractors; (c) where the motion is more wide-band chaotic.
The poincaré bifurcation of a sd oscillator
Did you know?
Webb1 jan. 2024 · PDF On Jan 1, 2024, Yangjian Sun and others published The Poincaré bifurcation of a SD oscillator Find, read and cite all the research you need on … Webb1 feb. 2005 · The study on poincaré bifurcation of two-dimensional systems is much richer than that of higher dimensional systems. For example, many mathematicians studied …
WebbThe period of the oscillator is T. The Duffing oscillator oscillates at the driving frequency. Hence, the driving period is equal to the period of the oscillation. Only one point is … WebbArterial stiffness (AS) is associated with coronary artery disease (CAD). Acute endurance training decreases AS, whereas acute resistance training increases it. However, these results are from studies in apparently healthy adults, and there is no information on the effects of such afterload AS in elderly patients with CAD. We aimed to investigate the …
Webb30 jan. 2024 · Coexisting attractors and the consequent jump in a harmonically excited smooth and discontinuous (SD) oscillator with double potential wells are studied in detail herein. The intra-well periodic solutions in the vicinity of the nontrivial equilibria and the inter-well periodic solutions are generated theoretically. Then, their stability and … Webb16 okt. 2007 · The Poincaré section is a complicated fractal curve when the phase diagram is a strange attractor. The Poincaré section is a single point when the phase space …
Webb7 apr. 2024 · The influence mechanism of time-delayed feedback on the bifurcation of the deterministic system is discussed through parameter ... Cao, Q.: Delay-controlled primary and stochastic resonances of the sd oscillator with stiffness nonlinearities. Mech. Syst. Signal Process. 103, 216–235 (2024) Article Google Scholar ...
WebbThe return or Poincaré plot is a non-linear analytical approach in a two-dimensional plane, where a timed signal is plotted against itself after a time delay. Its scatter pattern … flower datasetWebbAbstract: In this paper, we propose a search algorithm of bifurcation point in an impact oscillator with periodic threshold. The algorithm based on the Poincaré map approach. … flower dashboardWebb18 maj 2024 · The Poincaré bifurcation of a SD oscillator,Discrete and Continuous Dynamical Systems-Series B - X-MOL. A van der Pol damped SD oscillator, which was … flower databaseWebbA van der Pol damped SD oscillator, which was proposed by Ruilan Tian, Qingjie Cao and Shaopu Yang (2010, Nonlinear Dynamics, 59, 19-27), is studied. By improving the … greek proofing tools officeWebbFor ω 0 ²>0, the Duffing oscillator can be interpreted as a forced oscillator with a spring whose restoring force is written as F = - ω 0 ² x - β x3. When β>0, this equation … flower dataset下载Webb1 juni 2008 · Based on the analysis of a two-degree-of-freedom plastic impact oscillator, we introduce a three-dimensional map with dynamical variables defined at the impact … flower dataset downloadWebbIn this paper, the midspan deflection of a beam bridge with vehicles passing through the bridge successively is investigated. The midspan deflection can be modeled as the vibration trace of smooth-and-discontinuous (SD) oscillator by considering the mode of the first order and up-and-down vibration. greek profile picture