260 research outputs found
Sudden regime shifts after apparent stasis : Comment on “Long transients in ecology: Theory and applications” by Andrew Morozov et al.
Acknowledgements The work is funded by the University of Aberdeen, Scotland, UK.Peer reviewedPostprin
Robust Chaos
It has been proposed to make practical use of chaos in communication, in
enhancing mixing in chemical processes and in spreading the spectrum of
switch-mode power suppies to avoid electromagnetic interference. It is however
known that for most smooth chaotic systems, there is a dense set of periodic
windows for any range of parameter values. Therefore in practical systems
working in chaotic mode, slight inadvertent fluctuation of a parameter may take
the system out of chaos. We say a chaotic attractor is robust if, for its
parameter values there exists a neighborhood in the parameter space with no
periodic attractor and the chaotic attractor is unique in that neighborhood. In
this paper we show that robust chaos can occur in piecewise smooth systems and
obtain the conditions of its occurrence. We illustrate this phenomenon with a
practical example from electrical engineering.Comment: 4 pages, Latex, 4 postscript figures, To appear in Phys. Rev. Let
General analytical solutions for DC/AC circuit-network analysis
All authors thank the Scottish University Physics Alliance (SUPA) support. NR also acknowledges de support of PEDECIBA, Uruguay. MSB acknowledges the support of EPSRC grant Ref. EP/I032606/1. Open access via Springer Compact Agreement.Peer reviewedPublisher PD
Interpreting Physical Flows in Networks as a Communication System
ACKNOWLEDGEMENTS NR acknowledges the support of PEDECIBA, Uruguay. CG and MSB thank the Scottish University Physics Alliance (SUPA) support. MSB also acknowledges the support of EPSRC grant Ref. EP/I032606/1.Peer reviewedPublisher PD
Data based identification and prediction of nonlinear and complex dynamical systems
We thank Dr. R. Yang (formerly at ASU), Dr. R.-Q. Su (formerly at ASU), and Mr. Zhesi Shen for their contributions to a number of original papers on which this Review is partly based. This work was supported by ARO under Grant No. W911NF-14-1-0504. W.-X. Wang was also supported by NSFC under Grants No. 61573064 and No. 61074116, as well as by the Fundamental Research Funds for the Central Universities, Beijing Nova Programme.Peer reviewedPostprin
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