Title :
Novel co-operative phenomena observed in coupled LCR system
Author :
Shirahama, H. ; Noda, Y. ; Fukushima, K.
Author_Institution :
Fac. of Educ., Ehime Univ., Matsuyama, Japan
fDate :
5/6/2005 12:00:00 AM
Abstract :
Novel co-operative phenomena in a coupled oscillation system have been demonstrated in both experiments and simulations. The system has 16 LCR nonlinear oscillators as subsystems. In experiments, the system has been constructed on a broadboard by using electrical circuits. The nonlinearity of every subsystem is realised by a varactor. The system takes various phases, such as turbulence, synchronised and partially synchronised phases. Co-operative phenomena takes place in partially synchronised phases. The system shows that a subsystem synchronises with another subsystem placed at a certain spatial distance while all subsystems behave chaotically. Moreover, an intermittent chaos with power law is found in boundary regions between synchronised and partially synchronised phases. This implies that the present intermittent chaos breaks synchronised states similarly to phenomena in globally coupled map and coupled map lattice. In order to verify the experimental results, SPICE simulations are carried out. Statistical analyses make clear that the system forms a spatial wave structure with a specific wavelength when the novel synchronised phenomenon occurs, and the intermittent chaos has close properties with the on-off intermittency.
Keywords :
SPICE; chaos; circuit oscillations; nonlinear network analysis; oscillators; statistical analysis; synchronisation; varactors; LCR nonlinear oscillators; SPICE simulation; boundary region; chaotic behavior; co-operative phenomena; coupled map lattice; coupled oscillation system; electrical circuits; globally coupled map; intermittent chaos; on-off intermittency; partially synchronised phases; power law; spatial distance; spatial wave structure; statistical analysis; varactor;
Journal_Title :
Science, Measurement and Technology, IEE Proceedings -
DOI :
10.1049/ip-smt:20049038