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Chaos in the delay logistic equation with discontinuous delays
Authors:Ayan Sen  Debasis Mukherjee  
Institution:aSarat Chandra Sur Institution (H.S.), 12 Pottery Road, Kolkata 700015, India;bDepartment of Mathematics, Vivekananda College, Thakurpukur, Kolkata 700063, India
Abstract:This paper analyzes a delay logistic equation which models a feedback control problem. Interval map associated to the system is derived. By calculating Lyapunov exponent, we indicate stable orbit and chaotic phenomenon respectively. The results are verified through computer simulation. We identify the parameter which controls the dynamics.
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