Open AccessSTABILIZATION OF CHAOS OR SUPPRESSION OF CHAOS IN A DISCONTINUOUS CIRCLE MAP
Author(s) -
H Ren,
Wu Shun Guang,
Qu Shi Xian,
Mao Xiang Yu
Publication year - 1997
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.46.1464
Subject(s) - quasiperiodic function , chaotic , chaos (operating system) , relaxation oscillator , physics , periodic function , relaxation (psychology) , control of chaos , motion (physics) , synchronization of chaos , statistical physics , stability (learning theory) , phase (matter) , classical mechanics , control theory (sociology) , computer science , quantum mechanics , condensed matter physics , psychology , voltage controlled oscillator , machine learning , social psychology , computer security , control (management) , voltage , artificial intelligence
With a model relaxation oscillator and its corresponding discontinuous map,we show that the covering effect of the transient set can produce three kinds of regions:(1) stable chaotic region where all the possible periodic windows are erased,therefore chaotic trajectories are structurally stable;(2) complete phase locking region where chaos is suppressed,only periodic motion is permitted;(3) quasiperiodic region where chaos is suppressed,only quasiperiodic motion or periodic motion with marginal stability is allowed.These ideas are then used to explain the observed stable chaotic regions and the complete phase locking regions in a practical electronic relaxation oscillator.