Synchronization of chaos is a phenomenon that may occur when two or more dissipative chaotic systems are coupled.
Because of the exponential divergence of the nearby trajectories of chaotic systems, having two chaotic systems evolving in synchrony might appear surprising. However, synchronization of coupled or driven chaotic oscillators is a phenomenon well established experimentally and reasonably well-understood theoretically.
The stability of synchronization for coupled systems can be analyzed using master stability. Synchronization of chaos is a rich phenomenon and a multi-disciplinary subject with a broad range of applications.[1][2][3]
Synchronization may present a variety of forms depending on the nature of the interacting systems and the type of coupling, and the proximity between the systems.
theoretically. The stability ofsynchronization for coupled systems can be analyzed using master stability. Synchronizationofchaos is a rich phenomenon and...
is not the only way to achieve synchronizationofchaos. Both control ofchaos and synchronization constitute parts of cybernetical physics, a research...
Patterns in nature Predictability Quantum chaos Santa Fe Institute Shadowing lemma Synchronizationofchaos Unintended consequence People Ralph Abraham...
invariant under a nonlinear change of coordinates). This term is normally used regarding synchronizationofchaos, in which there are two systems that...
carrier. Synchronizing these oscillators is similar to synchronizing random neural nets in neural cryptography. When chaossynchronization is used, a...
is the fluctuation of information about information entropy. It is derivable from fluctuations in the predominance of order and chaos in a dynamic system...
equation, attractors, synchronizationofchaos, and applications to geophysical fluid dynamics, voice analysis, the population dynamics of plankton, and dynamo...
evolution of collections of points. One such example would be Saturn's rings: rather than tracking the time evolution of individual grains of sand in the...
explained the corporate dynamics in terms of mutual synchronization and chaos regularization of bursts in a group of chaotically bursting cells and Orlando...
Controlling and SynchronizationofChaos in the Simplest Dissipative Non-autonomous Circuit, published in International Journal of Bifurcation and Chaos in 1995...
context of studying synchronization phenomena, and in developing techniques for secure optical communications. Szlachetka, P.; Grygiel, K. (2001). "Chaos in...
dynamics and excitable media, the study ofchaos recognition, control and synchronization, and the study ofsynchronization in spatially extended systems and...
Attractors Hopalong orbit fractal Irregular Attractors Global chaossynchronizationof hyperchaotic chen system by sliding model control Hyper-Lu system...
Intel Xeon Phi, named Controlled Hogwild with Arbitrary Order ofSynchronization (CHAOS). CHAOS exploits both the thread- and SIMD-level parallelism that...
mathematical model used in describing synchronization. More specifically, it is a model for the behavior of a large set of coupled oscillators. Its formulation...
in synchronization within a neural ensemble, also referred to as local synchronization. In addition to local synchronization, oscillatory activity of distant...
called chaos. The branch of dynamical systems that deals with the clean definition and investigation ofchaos is called chaos theory. The concept of dynamical...
of time. Because chaos continually increases in systems, it is impossible to predict the future of systems well. For instance, even the small flap of...
economics, particularly in the realm of corporate dynamics. The proposed framework leverages synchronization and chaos regularization to account for dynamic...
partially. Synchronization. The fourth important class of control goals corresponds to synchronization (more accurately, "controlled synchronization" as distinct...
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