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In [17], the adaptive complete synchronization between chaotic systems with fully uncertain parameters were realized.
It is shown that complete synchronization between two identical Genesio Tesi chaotic systems is achieved and the synchronization errors converge to zero exponentially.
A new nonlinear feedback vector controller is designed to guarantee HPS, which can be simplified ulteriorly into a single scalar controller to achieve complete synchronization between two novel hyperchaotic systems.
Even if complete synchronization between two chaotic circuits can be reached only when the systems are identical, in this paper we address the robustness of synchronization in the presence of parameter mismatches between the coupled circuits in the case of hyperchaotic behavior.
Using the active control technique with Lyapunov stability theory and the Routh–Hurwitz criteria, control functions are designed to achieve complete synchronization between two identical Φ6 Van der Pol oscillators (Φ6-VDPOs), two identical Φ6 Duffing oscillators (Φ6-DOs), and two non-identical Φ6 oscillators comprising Φ6-VDPO and Φ6-DO for the triple-well configuration of the Φ6 potential.
Since dynamic behavior of error system (4) relies on both error state x t) and chaotic state z(t) of response system (3), complete synchronization between two nonidentical chaotic neural networks (1) and (3) cannot be achieved only by utilizing output feedback control.
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When λ(t) = I, -I, the complete synchronization and anti-synchronization between (1) and (2) are achieved, respectively.
Under the existence of system uncertainties, external disturbances, and input nonlinearity, complete synchronization and anti-synchronization between two chaotic gyros are achieved by introducing a novel adaptive terminal sliding mode (ATSM) controller.
The strict connection between the complete synchronization (imperfect complete synchronization) of response oscillators and their phase or generalized synchronization with the driving system (the (1 1) mode locking) is shown.
Despite different initial conditions, after a sufficiently long transient, the rotating parts move in the same way — complete synchronization, or a permanent constant shift is established between their displacements, i.e., the angles of rotation — phase synchronization.
Up to now, several different kinds of synchronous patterns have been discovered and deeply studied, such as complete synchronization [1], generalized synchronization [4], phase synchronization [5], lag synchronization [6] and projective synchronization [7].
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