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Updated: Dec 22, 2025

Real-Time DC-dynamic Biasing Method for Switching Time Improvement in Severely Underdamped Fringing-field Electrostatic MEMS Actuators
Published on: August 15, 2014
A novel memristor-based dynamical system with multi-wing attractors and symmetric periodic bursting
Hui Chang1, Yuxia Li1, Guanrong Chen2
1College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, People's Republic of China.
Abstract:
This paper presents a novel memristor-based dynamical system with circuit implementation, which has a 2×3-wing, 2×2-wing, and 2×1-wing non-Shilnikov type of chaotic attractors. The system has two index-2 saddle-focus equilibria, symmetrical with respect to the x-axis. The system is analyzed with bifurcation diagrams and Lyapunov exponents, demonstrating its complex dynamical behaviors: the system reaches the chaotic state from the periodic state through alternating period-doubling bifurcations and then from the chaotic state back to the periodic state through inverse bifurcations, as one parameter changes. It shows two interesting phenomena: a jump-switching periodic state and jump-switching chaotic state. Also, the system can sustain chaos with a constant Lyapunov spectrum in some initial conditions and a parameter set. In addition, a class of symmetric periodic bursting phenomena is surprisingly observed under a particular set of parameters, and its generation mechanism is revealed through bifurcation analysis. Finally, the circuit implementation verifies the theoretical analysis and the jump-switching numerical simulation results.
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