Rights statement: © 2013 American Physical Society
Final published version, 3.63 MB, PDF document
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Chronotaxic systems
T2 - a new class of self-sustained non-autonomous oscillators
AU - Suprunenko, Yevhen
AU - Clemson, Philip
AU - Stefanovska, Aneta
N1 - © 2013 American Physical Society
PY - 2013/7/8
Y1 - 2013/7/8
N2 - Non-autonomous oscillatory systems with stable amplitudes and time-varying frequencies have often been treated as stochastic, inappropriately. We therefore formulate them as a new class and discuss how they generate complex behaviour. We show how to extract the underlying dynamics, and we demonstrate that it is simple and deterministic, thus paving the way for a diversity of new systems to be recognized as deterministic. They include complex and non-autonomous oscillatorysystems in nature, both individually and in ensembles and networks.
AB - Non-autonomous oscillatory systems with stable amplitudes and time-varying frequencies have often been treated as stochastic, inappropriately. We therefore formulate them as a new class and discuss how they generate complex behaviour. We show how to extract the underlying dynamics, and we demonstrate that it is simple and deterministic, thus paving the way for a diversity of new systems to be recognized as deterministic. They include complex and non-autonomous oscillatorysystems in nature, both individually and in ensembles and networks.
KW - chronotaxic system
KW - self-sustained oscillators
KW - nonautonomous systems
KW - complex systems
U2 - 10.1103/PhysRevLett.111.024101
DO - 10.1103/PhysRevLett.111.024101
M3 - Journal article
VL - 111
JO - Physical review letters
JF - Physical review letters
SN - 1079-7114
IS - 2
M1 - 024101
ER -