scholarly journals The transfer function of generic linear quantum stochastic systems has a pure cascade realization

Automatica ◽  
2016 ◽  
Vol 69 ◽  
pp. 324-333 ◽  
Author(s):  
Hendra I. Nurdin ◽  
Symeon Grivopoulos ◽  
Ian R. Petersen
Keyword(s):  
Transfer Function ◽  
Stochastic Systems ◽  
Linear Quantum

PHASE SYNCHRONIZATION AND COHERENCE ANALYSIS: SENSITIVITY AND SPECIFICITY

2007 ◽  
Vol 17 (10) ◽  
pp. 3551-3556 ◽  
Author(s):  
BJÖRN SCHELTER ◽  
MATTHIAS WINTERHALDER ◽  
JENS TIMMER ◽  
JÜRGEN KURTHS
Keyword(s):  
Nonlinear Dynamics ◽  
Transfer Function ◽  
Sensitivity And Specificity ◽  
Stochastic Systems ◽  
Phase Synchronization ◽  
Coherence Analysis ◽  
Analysis Techniques ◽  
Linear Stochastic Systems ◽  
Synchronization Of Oscillators

In Nonlinear Dynamics synchronization of oscillators is examined. Alternatively for linear stochastic systems, coherence analysis is utilized to detect interdependencies in transfer function systems. In contrast to the latter, oscillators continue oscillating in the absence of interaction between the processes. For transfer function systems the output ceases to exist without an input. Analysis techniques able to differentiate these considerably different classes of dynamics are desired in various applications. We show that conclusions from analysis techniques to the underlying dynamics have to be taken with care due to missing specificity. Moreover, we present an approach towards higher specificity.

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