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 ...

Abstract: This paper presents Jacobi stability analysis of 23 simple chaotic systems with only one Lyapunov stable equilibrium by Kosambi–Cartan–Chern theory, and analyzes the chaotic behavior of these systems from the geometric ...

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, ...