WebbBy using bifurcation techniques and analyzing the ... Xuanliang & Han, Maoan, 2005. "Poincaré bifurcation of a three-dimensional system," Chaos, Solitons & Fractals, … Webb2 dec. 2024 · An impaired function of the coronary endothelium is an important determinant of all stages of atherosclerosis, from initiation, to mediation of functional phenomena—such as spasm and plaque erosion, to atherothrombotic complications. Endothelial function is modified by therapies, including stent …
Grazing and Symmetry-Breaking Bifurcations Induced Oscillations …
WebbThe Duffing equation (or Duffing oscillator), named after Georg Duffing (1861–1944), is a non-linear second-order differential equation used to model certain damped and driven oscillators.The equation is given by ¨ + ˙ + + = (), where the (unknown) function = is the displacement at time , ˙ is the first derivative of with respect to time, i.e. velocity, and ¨ is … WebbTHE POINCARÉ BIFURCATION OF A SD OSCILLATOR 3 When a2+1 2 < a, the level set h = f(x;y)jH(x;y) = hgcontains two ovals surrounding the centers (p 1 a2;0) and ( 1 a2;0) … flag of vessel atlantic sail
The Poincaré bifurcation of a SD oscillator
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. WebbThe nonlinear dynamics were determined using bifurcation diagrams, phase portraits, Poincaré maps, frequency spectra, and Lyapunov exponents. The Lyapunov exponent was used to identify the onset of chaotic motion. Finally, state feedback control was used to prevent chaotic motion. WebbA 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 … canon drucker farbe 545