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Data based identification and prediction of nonlinear and complex dynamical systems
The problem of reconstructing nonlinear and complex dynamical systems from measured
data or time series is central to many scientific disciplines including physical, biological …
data or time series is central to many scientific disciplines including physical, biological …
The synchronization of chaotic systems
Synchronization of chaos refers to a process wherein two (or many) chaotic systems (either
equivalent or nonequivalent) adjust a given property of their motion to a common behavior …
equivalent or nonequivalent) adjust a given property of their motion to a common behavior …
[كتاب][B] Nonlinear time series analysis
H Kantz, T Schreiber - 2003 - books.google.com
The paradigm of deterministic chaos has influenced thinking in many fields of science.
Chaotic systems show rich and surprising mathematical structures. In the applied sciences …
Chaotic systems show rich and surprising mathematical structures. In the applied sciences …
[كتاب][B] Transient chaos: complex dynamics on finite time scales
The aim of this Book is to give an overview, based on the results of nearly three decades of
intensive research, of transient chaos. One belief that motivates us to write this book is that …
intensive research, of transient chaos. One belief that motivates us to write this book is that …
Fundamentals of synchronization in chaotic systems, concepts, and applications
The field of chaotic synchronization has grown considerably since its advent in 1990.
Several subdisciplines and “cottage industries” have emerged that have taken on bona fide …
Several subdisciplines and “cottage industries” have emerged that have taken on bona fide …
Generalized synchronization of chaos: The auxiliary system approach
Synchronization of chaotic oscillators in a generalized sense leads to richer behavior than
identical chaotic oscillations in coupled systems. It may imply a more complicated …
identical chaotic oscillations in coupled systems. It may imply a more complicated …
Interdisciplinary application of nonlinear time series methods
T Schreiber - Physics reports, 1999 - Elsevier
This paper reports on the application to field measurements of time series methods
developed on the basis of the theory of deterministic chaos. The major difficulties are …
developed on the basis of the theory of deterministic chaos. The major difficulties are …
Detecting dynamical interdependence and generalized synchrony through mutual prediction in a neural ensemble
A method to characterize dynamical interdependence among nonlinear systems is derived
based on mutual nonlinear prediction. Systems with nonlinear correlation will show mutual …
based on mutual nonlinear prediction. Systems with nonlinear correlation will show mutual …
Finding the direction of disturbance propagation in a chemical process using transfer entropy
In continuous chemical processes, variations of process variables usually travel along
propagation paths in the direction of the control path and process flow. This paper describes …
propagation paths in the direction of the control path and process flow. This paper describes …
Weak and strong synchronization of chaos
It is shown that synchronization in unidirectionally coupled chaotic systems develops in two
stages as the coupling strength is increased. The first stage is characterized by a weak …
stages as the coupling strength is increased. The first stage is characterized by a weak …