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Almost Periodic Solutions for a Class of Stochastic Differential Equations
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, the existence and uniqueness of the squaremean almost periodic solutions to a class of the semilinear stochastic equations is studied. In particular, the condition of the uniform exponential stability of the ...
Finite Time Synchronization for High Dimensional Chaotic Systems and Its Application to Secure Communication
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The finitetime synchronization for the highdimensional chaotic system is studied. A method is derived from the finitetime stability theory and adaptive control technique. To show the wider applicability of our method, an ...
Dynamics at Infinity and Existence of Singularly Degenerate Heteroclinic Cycles in Maxwell–Bloch System
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, global dynamics of the Maxwell–Bloch system is discussed. First, the complete description of its dynamic behavior on the sphere at infinity is presented by using the Poincaré compactification in R3. Second, ...