Detecting generalized synchronization between chaotic signals: a kernel-based approach
نویسندگان
چکیده
منابع مشابه
Detecting Generalized Synchronization of Chaotic Dynamical Systems A Kernel-based Method and Choice of Its Parameter
Synchronization of chaotic systems has been explored extensively in recent years.1) In addition to complete synchronization between two identical chaotic systems,2) various notions of chaotic synchronization have evolved.1) Among them, the concept of generalized synchronization (GS), which refers to a situation in which the states of two systems connected each other via a continuous mapping, ha...
متن کاملStatistical modeling approach for detecting generalized synchronization.
Detecting nonlinear correlations between time series presents a hard problem for data analysis. We present a generative statistical modeling method for detecting nonlinear generalized synchronization. Truncated Volterra series are used to approximate functional interactions. The Volterra kernels are modeled as linear combinations of basis splines, whose coefficients are estimated via l(1) and l...
متن کاملChaotic communication using generalized synchronization
We present a new technique for the chaotic communication of a signal using the concept of generalized synchronization. We develop a general approach for implementing our technique and illustrate it using a RR ossler system driving a Lorenz system. It is demonstrated that the scheme is robust with respect to noise in the communication channel and to small parameter mismatches in the system. Fina...
متن کاملSynchronization of Chaotic Systems by the Generalized Hamiltonian Systems Approach
In this paper, the generalized Hamiltonian system approach was applied to the synchronization of chaotic systems. The synchronization is between the transmitter and the receiver dynamics. The synchronization of several chaotic systems is studied by the method, respectively. The numerical results are in very good agreement with the theoretical analysis.
متن کاملChaotic phase Synchronization Based on Binary Coupling signals
Synchronization of periodic signals is a well-known phenomenon in physics, engineering and many other scientific disciplines. However, even chaotic systems may be linked in a way such that their chaotic oscillations are synchronized. In particular, the case of one-directional coupling has been investigated intensely during the last years [Fujisaka & Yamada, 1983; Afraimovich et al., 1986; Pecor...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2006
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/39/34/009