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Denial-of-Service (DoS) and Distributed Denial-of-Service (DDoS) are widely known security attacks which attempt to make computer resources unavailable to its intended users. In this paper, I discuss some well known DoS and DDoS attacks. Experience shows that in the detection of these attacks human brain is more perfect than mathematical computation. Therefore, I propose a technique to incorporate the representative of human brain, Recurrent Neural Networks (RNN), to identify these attacks.