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010   $a1-4614-8566-5
024 7 $a10.1007/978-1-4614-8566-7
035   $a(CKB)3710000000057104
035   $a(EBL)1592898
035   $a(OCoLC)897576396
035   $a(SSID)ssj0001049301
035   $a(PQKBManifestationID)11561332
035   $a(PQKBTitleCode)TC0001049301
035   $a(PQKBWorkID)11018852
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035   $a(MiAaPQ)EBC1592898
035   $a(DE-He213)978-1-4614-8566-7
035   $a(PPN)176099077
035   $a(EXLCZ)993710000000057104
100   $a20131030d2014      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aNeural Networks with Discontinuous/Impact Activations /$fby Marat Akhmet, Enes Y?lmaz
205   $a1st ed. 2014.
210  1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2014.
215   $a1 online resource (176 p.)
225 1 $aNonlinear Systems and Complexity,$x2195-9994 ;$v9
300   $aDescription based upon print version of record.
311   $a1-4614-8565-7 
320   $aIncludes bibliographical references.
327   $aIntroduction -- Differential Equations with Piecewise Constant Argument of Generalized Type -- Impulsive Differential Equations -- Periodic Motions and Equilibria of Neural Networks with Piecewise Constant Argument -- Equilibria of Neural Networks with Impact Activation and Piecewise Constant Argument -- Periodic Motions of Neural Networks with Impact Activation and Piecewise Constant Argument -- The Method of Lyapunov Functions: RNNs -- The Lyapunov-Razumikhin Method: CNNs.
330   $aThis book presents as its main subject new models in mathematical neuroscience. A wide range of neural networks models with discontinuities are discussed, including impulsive differential equations, differential equations with piecewise constant arguments, and models of mixed type. These models involve discontinuities, which are natural because huge velocities and short distances are usually observed in devices modeling the networks. A discussion of the models, appropriate for the proposed applications, is also provided. This book also: Explores questions related to the biological underpinning for models of neural networks\ Considers neural networks modeling using differential equations with impulsive and piecewise constant argument discontinuities Provides all necessary mathematical basics for application to the theory of neural networks Neural Networks with Discontinuous/Impact Activations is an ideal book for researchers and professionals in the field of engineering mathematics that have an interest in applying these systems to computational problems.
410  0$aNonlinear Systems and Complexity,$x2195-9994 ;$v9
606   $aComputational complexity
606   $aArtificial intelligence
606   $aBiomedical engineering
606   $aDifferential equations
606   $aNeural networks (Computer science) 
606   $aComplexity$3https://scigraph.springernature.com/ontologies/product-market-codes/T11022
606   $aArtificial Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/I21000
606   $aBiomedical Engineering and Bioengineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T2700X
606   $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147
606   $aMathematical Models of Cognitive Processes and Neural Networks$3https://scigraph.springernature.com/ontologies/product-market-codes/M13100
615  0$aComputational complexity.
615  0$aArtificial intelligence.
615  0$aBiomedical engineering.
615  0$aDifferential equations.
615  0$aNeural networks (Computer science) .
615 14$aComplexity.
615 24$aArtificial Intelligence.
615 24$aBiomedical Engineering and Bioengineering.
615 24$aOrdinary Differential Equations.
615 24$aMathematical Models of Cognitive Processes and Neural Networks.
676   $a176
700   $aAkhmet$b Marat$4aut$4http://id.loc.gov/vocabulary/relators/aut$0478701
702   $aY?lmaz$b Enes$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910299488703321
996   $aNeural Networks with Discontinuous$92135902
997   $aUNINA