An automated acquisition setup for the evaluation of intermittency statistics

The design and realization of an automated acquisition setup, dedicated to experimental evaluation of intermittent chaotic phenomena and the related statistics, is presented. The setup was implemented in National Instrument's LabView environment and it was structured in such a way that it is not dependent of the signal-registering devices used. The circuit evaluation is achieved by registering only one signal. An experimental intermittency example confirms the system's effectiveness.

[1]  Platt,et al.  Characterization of on-off intermittency. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[2]  Ioannis M. Kyprianidis,et al.  The intermittent behavior of a second-order non-linear non-autonomous oscillator , 2008 .

[3]  Y. Pomeau,et al.  Intermittent transition to turbulence in dissipative dynamical systems , 1980 .

[4]  T. Laopoulos,et al.  An Automated Acquisition Setup for the Analysis of Chaotic Systems , 2005, 2005 IEEE Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications.

[5]  David J. Hill,et al.  Intermittent Phenomena in Switched Systems With High Coupling Strengths , 2006, IEEE Transactions on Circuits and Systems I: Regular Papers.

[6]  Y. Pomeau,et al.  Intermittency in Rayleigh-Bénard convection , 1980 .

[7]  Amalia Miliou,et al.  Characterization of a non-autonomous second-order non-linear circuit for secure data transmission , 2007 .

[8]  Robert C. Hilborn,et al.  Chaos And Nonlinear Dynamics: An Introduction for Scientists and Engineers , 1994 .

[9]  Chi K. Tse,et al.  Complex behavior in switching power converters , 2002, Proc. IEEE.

[10]  Spiegel,et al.  On-off intermittency: A mechanism for bursting. , 1993, Physical review letters.

[11]  Chi K. Tse,et al.  Chaos-Based Digital Communication Systems: Operating Principles, Analysis Methods, and Performance Evaluation , 2003 .

[12]  Th. Laopoulos,et al.  Internal crisis in a second-order non-linear non-autonomous electronic oscillator , 2008 .

[14]  P Ashwin,et al.  Influence of noise on scalings for in-out intermittency. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  Amalia Miliou,et al.  Secure communication by chaotic synchronization: Robustness under noisy conditions , 2007 .

[16]  Robert C. Hilborn,et al.  Chaos and Nonlinear Dynamics , 2000 .

[17]  Th. Laopoulos,et al.  Desynchronization crisis induced intermittency in a master–slave PLL configuration , 2009 .

[18]  J. Yorke,et al.  CHAOTIC ATTRACTORS IN CRISIS , 1982 .

[19]  Mw Hirsch,et al.  Chaos In Dynamical Systems , 2016 .

[20]  Ioannis M. Kyprianidis,et al.  On–off intermittent synchronization between two bidirectionally coupled double scroll circuits , 2010 .

[21]  Chai Wah Wu,et al.  Synchronization in Coupled Chaotic Circuits and Systems , 2002 .

[22]  Ditto,et al.  Experimental control of chaos. , 1990, Physical review letters.

[23]  Paul Manneville,et al.  Intermittency and the Lorenz model , 1979 .

[24]  Distribution of laminar lengths for noisy on-off intermittency , 1997 .

[25]  J. Yorke,et al.  Crises, sudden changes in chaotic attractors, and transient chaos , 1983 .

[26]  Michael Peter Kennedy,et al.  The role of synchronization in digital communications using chaos. I . Fundamentals of digital communications , 1997 .

[27]  H. Schuster Deterministic chaos: An introduction , 1984 .

[28]  Riccardo Rovatti,et al.  Chaotic Electronics in Telecommunications , 2000 .

[29]  Francis C. M. Lau,et al.  Digital Communications with Chaos: Multiple Access Techniques and Performance , 2006 .

[30]  Eckehard Schöll,et al.  Handbook of Chaos Control , 2007 .

[31]  L. Kocarev Chaos-based cryptography: a brief overview , 2001 .

[32]  E. Ott Chaos in Dynamical Systems: Contents , 2002 .