document: Local activity criteria for discrete-map CNN Discrete-time CNN systems are studied in this paper by the application of Chua 's local activity principle . These systems are locally active everywhere except for one isolated parameter value . As a result , nonhomogeneous spatiotemporal patterns may be induced by any initial setting of the CNN system when the strength of the system diffusion coupling exceeds a critical threshold . The critical coupling coefficient can be derived from the loaded cell impedance of the CNN system . Three well-known 1D map CNN 's -LRB- namely , the logistic map CNN , the magnetic vortex pinning map CNN , and the spiral wave reproducing map CNN -RRB- are introduced to illustrate the applications of the local activity principle . In addition , we use the cell impedance to demonstrate the period-doubling scenario in the logistic and the magnetic vortex pinning maps
doc_bio_tags: B I I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I I O O O O O O O O O O O O O O O O O O O O O O O O O B I I O O O O O B I I O O O O O O O O O O O O O O O B I I O O B I I I I O O O B I I I I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O
extractive_keyphrases: local activity criteria loaded cell impedance nonhomogeneous spatiotemporal patterns critical coupling coefficient logistic map cnn magnetic vortex pinning map cnn spiral wave reproducing map cnn
abstractive_keyphrases: discrete-time cnn systems difference equation discrete-map cnn chua's local activity principle period-doubling