By Valeri M. Mladenov, Plamen Ch. Ivanov
This publication constitutes the refereed court cases of the twenty second overseas convention on Nonlinear Dynamics of digital structures, NDES 2014, held in Albena, Bulgaria, in July 2014. The forty seven revised complete papers offered have been conscientiously reviewed and chosen from sixty five submissions. The papers are geared up in topical sections on nonlinear oscillators, circuits and digital platforms; networks and nonlinear dynamics and nonlinear phenomena in organic and physiological systems.
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Extra resources for Nonlinear Dynamics of Electronic Systems: 22nd International Conference, NDES 2014, Albena, Bulgaria, July 4-6, 2014. Proceedings
Example text
Suzuki et al. where n denotes integers. We then define continuous-time system on Ln : x¨ − 2δ x˙ + x = +p + 2nT −p + 2nT (n+ ) , x ≈ Ln (n− ) (6) where (n − 1) T < np < nT . We devide Ln into two segments: Ln = Ln+ ∪ Ln− , Ln+ ≡ {x|0 ← (x − 2nT ) < T, x˙ = 0} Ln− ≡ {x| − T ← (x − 2nT ) < 0, x˙ = 0} The switching rule (Fig. 3): Let the right hand side of Eq. (6) is np where (n+ ) is some integer. The right hand side is switched to (n− ) if x hits Ln− and is switched to (n+ ) if x hits Ln+ . In this case, the trajectory rotates around some equilibrium ±p+2nT , swtches to L±n and can draw many screws as suggested in Fig.
2 shows several examples of trajectories and return maps where β is used as a parameter instead of δ, for convenience. Manifold Piecewise Linear Chaotic System on Cylinder 47 Fig. 1. Switching of MPL Fig. 2. Trajectories and return maps of the MPL. 5 3 √ 2, Manifold Piecewise Linear System on Cylinder First, we define an MPL with infinite equilibria. We divide the x-axis L into segments with length 2T : ∗ Ln , Ln = {x| |x − 2nT | < T, x˙ = 0}. L= n=−∗ 48 S. Suzuki et al. where n denotes integers.
6–9 shows the success rate and sustention rate with changing the interval and amplitude of input noise, respectively. 1 times the standard deviation of the nonlinear oscillator amplitude. 5 seconds for the case of the environmental sound. Similar to the case of the white Gaussian noise, the success rate is high when the amplitude is strong, and sustention rate is high when the amplitude is weak. From figs. 1 and the interval is 266 seconds, for the humidity data. 3 seconds, for the environmental sounds.