1986/12/01 by H. Fujisaka, Hirokazu Fujisaka, Hiroaki Ishii +4 · 1 citation
Biochemistry, Genetics and Molecular Biology · Computer Science · Physics and Astronomy · #Chaos control and synchronization #Chaos-based Image/Signal Encryption #Fractal and DNA sequence analysis
paper · doi:10.1143/ptp.76.1198
crossref issued 1986/12/01 · crossref published 1986/12/01 · crossref published-print 1986/12/01 · openalex publication_date 1986/12/01 · crossref created 2005/12/14 · crossref deposited 2017/08/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/17 · crossref indexed 2026/07/26
A Mapping System under a chaotic modulation, which has the fixed point, independently of the control parameter and modulation, is studied both numerically and theoretically. When the fixed point becomes unstable as the control parameter is changed, the system generally associates with intermittency characteristics different from the Manneville-Pomeau type. Near the instability point the Lyapunov exponent and the power spectrum for the state variable exhibiting the intermittency are analyzed with the aid of the multiplicative noise model approximation introduced in the previous paper of this series. Theoretical results are found to agree well with numerical ones. Furthermore we discuss the transition from the two-dimensional attractor to the strange attractor with a fractal dimension.