?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=Modelling+and+control+of+chaotic+processes+through+their+Bifurcation+Diagrams+generated+with+the+help+of+Recurrent+Neural+Network+models%3A+Part+1%E2%80%94simulation+studies+&rft.creator=J%2C+Krishnaiah&rft.creator=C%2C+S+Kumar&rft.creator=Faruqi%2C+M+Aslam&rft.subject=Dynamical+Systems&rft.subject=Machine+Learning&rft.subject=Complexity+Theory&rft.subject=Artificial+Intelligence&rft.description=Many+real-world+processes+tend+to+be+chaotic+and+also+do+not+lead+to+satisfactory+analytical+modelling.+It+has+been+shown+here+that+for+such+chaotic+processes+represented+through+short+chaotic+noisy+time-series%2C+a+multi-input+and+multi-output+recurrent+neural+networks+model+can+be+built+which+is+capable+of+capturing+the+process+trends+and+predicting+the+future+values+from+any+given+starting+condition.+It+is+further+shown+that+this+capability+can+be+achieved+by+the+Recurrent+Neural+Network+model+when+it+is+trained+to+very+low+value+of+mean+squared+error.+Such+a+model+can+then+be+used+for+constructing+the+Bifurcation+Diagram+of+the+process+leading+to+determination+of+desirable+operating+conditions.+Further%2C+this+multi-input+and+multi-output+model+makes+the+process+accessible+for+control+using+open-loop%2Fclosed-loop+approaches+or+bifurcation+control+etc.+All+these+studies+have+been+carried+out+using+a+low+dimensional+discrete+chaotic+system+of+H%C3%A9non+Map+as+a+representative+of+some+real-world+processes.+%0A%0A&rft.date=2006-01&rft.type=Journal+(Paginated)&rft.type=PeerReviewed&rft.format=application%2Fpdf&rft.identifier=http%3A%2F%2Fcogprints.org%2F4883%2F1%2Fjcp_maf1.pdf&rft.identifier=++J%2C+Krishnaiah+and+C%2C+S+Kumar+and+Faruqi%2C+M+Aslam++(2006)+Modelling+and+control+of+chaotic+processes+through+their+Bifurcation+Diagrams+generated+with+the+help+of+Recurrent+Neural+Network+models%3A+Part+1%E2%80%94simulation+studies.++%5BJournal+(Paginated)%5D+++++&rft.relation=http%3A%2F%2Fcogprints.org%2F4883%2F