000 03379nam a22005295i 4500
001 978-1-4614-8566-7
003 DE-He213
005 20140220082502.0
007 cr nn 008mamaa
008 131030s2014 xxu| s |||| 0|eng d
020 _a9781461485667
_9978-1-4614-8566-7
024 7 _a10.1007/978-1-4614-8566-7
_2doi
050 4 _aQA76.9.M35
072 7 _aGPFC
_2bicssc
072 7 _aTEC000000
_2bisacsh
082 0 4 _a620
_223
100 1 _aAkhmet, Marat.
_eauthor.
245 1 0 _aNeural Networks with Discontinuous/Impact Activations
_h[electronic resource] /
_cby Marat Akhmet, Enes Yılmaz.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2014.
300 _aXI, 168 p. 28 illus., 23 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aNonlinear Systems and Complexity,
_x2195-9994 ;
_v9
505 0 _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.
520 _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.
650 0 _aEngineering.
650 0 _aArtificial intelligence.
650 0 _aDifferential Equations.
650 0 _aPhysics.
650 0 _aBiomedical engineering.
650 1 4 _aEngineering.
650 2 4 _aComplexity.
650 2 4 _aArtificial Intelligence (incl. Robotics).
650 2 4 _aBiomedical Engineering.
650 2 4 _aOrdinary Differential Equations.
650 2 4 _aMathematical Models of Cognitive Processes and Neural Networks.
700 1 _aYılmaz, Enes.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461485650
830 0 _aNonlinear Systems and Complexity,
_x2195-9994 ;
_v9
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-8566-7
912 _aZDB-2-ENG
999 _c92196
_d92196