Theoretical design of controlled digitized chaotic systems with periodic orbit of upper limit length in digital circuit

• Published in: Nonlinear dynamics Vol. 98; no. 1; pp. 257 - 268
• Main Authors: Wang, Chuanfu, Ding, Qun
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.10.2019; Springer Nature B.V
• Subjects: Automotive Engineering; Chaos theory; Classical Mechanics; Collapse; Control; Digital electronics; Digital mapping; Digitization; Dynamical Systems; Engineering; Fields (mathematics); Mechanical Engineering; Orbits; Original Paper; Random access memory; Vibration; Digitized Logistic map; Periodic orbits; Nonlinear dynamical system; Dynamical degradation

When chaotic systems are realized in digital circuit, it will collapse in finite fields eventually and show complex periodic behavior. In the literature, there do not seem to be good bases for designing schemes to reduce its negative influence on digitized chaotic systems in digital circuit. In this...