where Ï„, Ïƒ , and c are constants in R with Ï„ â‰¥ 0, Ïƒ â‰¥ 0, |c| < 1, g(t,x) is a T(> 0)-periodic function in t > 0, and for an arbitrary bounded domain E âŠ‚ R, g(t,x) is a Lipschitz function in [0,T]Ã— E,â€¦ (More)

where Ï„, Ïƒ , and c are real constants with Ï„ â‰¥ 0, Ïƒ â‰¥ 0, |c| < 1, g(t,x) is a T-periodic function for t > 0 and, for an arbitrary bounded domain D âŠ‚ R, g(t,x) is a Lipschitzfunction on [0,T]Ã—D.â€¦ (More)

and Applied Analysis 3 Let us consider the functional I x defined onH1 0 0, 2Î³Ï„ by I x âˆ«2Î³Ï„ 0 [ xâ€² t xâ€² t âˆ’ Ï„ âˆ’ F t, x t , x t âˆ’ Ï„ dt. 2.4 For all x, y âˆˆ H1 0 0, 2Î³Ï„ and Îµ > 0, we know that I ( x Îµyâ€¦ (More)

This article investigates the design of a series of new chaotic attractors. A switching control with different switching surfaces is designed to link two systems of linear integer order differentialâ€¦ (More)