Introduction to neural dynamics and signal transmission delay:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; New York
<<de>> Gruyter
2001
|
| Series: | De Gruyter series in nonlinear analysis and applications
6 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 182 S. graph. Darst. : 24 cm |
| ISBN: | 3110169886 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV013694460 | ||
| 003 | DE-604 | ||
| 005 | 20210906 | ||
| 007 | t | ||
| 008 | 010417s2001 gw d||| |||| 00||| eng d | ||
| 016 | 7 | |a 961229021 |2 DE-101 | |
| 020 | |a 3110169886 |9 3-11-016988-6 | ||
| 035 | |a (OCoLC)45806397 | ||
| 035 | |a (DE-599)BVBBV013694460 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-703 |a DE-91G |a DE-384 |a DE-11 |a DE-188 | ||
| 050 | 0 | |a QP363.3 | |
| 082 | 0 | |a 573.8/5 |2 21 | |
| 084 | |a WW 2200 |0 (DE-625)158906:13423 |2 rvk | ||
| 084 | |a SK 950 |0 (DE-625)143273: |2 rvk | ||
| 084 | |a PHY 825f |2 stub | ||
| 100 | 1 | |a Wu, Jianhong |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Introduction to neural dynamics and signal transmission delay |c Jianhong Wu |
| 264 | 1 | |a Berlin ; New York |b <<de>> Gruyter |c 2001 | |
| 300 | |a X, 182 S. |b graph. Darst. : 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a De Gruyter series in nonlinear analysis and applications |v 6 | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Models, Neurological | |
| 650 | 4 | |a Neural networks (Neurobiology) |x Mathematical models | |
| 650 | 4 | |a Synaptic Transmission | |
| 650 | 0 | 7 | |a Nervennetz |0 (DE-588)4041638-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Differentialgleichung mit nacheilendem Argument |0 (DE-588)4199298-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Dynamisches Modell |0 (DE-588)4150932-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Nervennetz |0 (DE-588)4041638-0 |D s |
| 689 | 0 | 1 | |a Dynamisches Modell |0 (DE-588)4150932-8 |D s |
| 689 | 0 | 2 | |a Differentialgleichung mit nacheilendem Argument |0 (DE-588)4199298-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a De Gruyter series in nonlinear analysis and applications |v 6 |w (DE-604)BV005530011 |9 6 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009358744&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-009358744 | ||
Record in the Search Index
| _version_ | 1804128509968252928 |
|---|---|
| adam_text | Contents
Preface vii
1 The structure of neural networks 1
1.1 The structure of a single neuron 1
1.2 Transmission of neural signals 2
1.3 Neural circuits, CNS and ANN 7
2 Dynamic models of networks 9
2.1 Biological models 9
2.2 Signal functions 14
2.3 General models and network architectures 16
3 Simple networks 24
3.1 Outstars: pattern learning 24
3.2 Instars: pattern recognition 30
3.3 Lateral inhibition: noise saturation dilemma 34
3.4 Recurrent ON CTR OFF SUR networks: signal enhancement
and noise suppression 36
3.5 Determining synaptic weights 50
Appendix. Grossberg s Learning Theorem 57
4 Content addressable memory storage 61
4.1 Parallel memory storage by competitive networks . 62
4.2 Convergence in networks with a nonsymmetric
interconnection matrix 70
4.3 Implementation of CAM: Hopfield networks 75
4.4 Generic convergence in monotone networks 79
5 Signal transmission delays 88
5.1 Neural networks with delay and basic theory 90
5.2 Global stability analysis 95
5.3 Delay induced instability 99
5.4 Hopf bifurcation of periodic solutions 105
5.5 A network of two neurons: McCulloch Pitts nonlinearity 115
5.6 Delay induced transient oscillations ¦ 138
5.7 Effect of delay on the basin of attraction 146
X Contents
5.8 Synchronized activities 154
5.9 Desynchronization, phase locked oscillation and connecting orbits . . 165
Bibliography 171
Index 179
|
| any_adam_object | 1 |
| author | Wu, Jianhong |
| author_facet | Wu, Jianhong |
| author_role | aut |
| author_sort | Wu, Jianhong |
| author_variant | j w jw |
| building | Verbundindex |
| bvnumber | BV013694460 |
| callnumber-first | Q - Science |
| callnumber-label | QP363 |
| callnumber-raw | QP363.3 |
| callnumber-search | QP363.3 |
| callnumber-sort | QP 3363.3 |
| callnumber-subject | QP - Physiology |
| classification_rvk | WW 2200 SK 950 |
| classification_tum | PHY 825f |
| ctrlnum | (OCoLC)45806397 (DE-599)BVBBV013694460 |
| dewey-full | 573.8/5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 573 - Specific physiological systems in animals |
| dewey-raw | 573.8/5 |
| dewey-search | 573.8/5 |
| dewey-sort | 3573.8 15 |
| dewey-tens | 570 - Biology |
| discipline | Physik Biologie Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02054nam a2200505 cb4500</leader><controlfield tag="001">BV013694460</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20210906 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">010417s2001 gw d||| |||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">961229021</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3110169886</subfield><subfield code="9">3-11-016988-6</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)45806397</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV013694460</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QP363.3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">573.8/5</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">WW 2200</subfield><subfield code="0">(DE-625)158906:13423</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 950</subfield><subfield code="0">(DE-625)143273:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">PHY 825f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Wu, Jianhong</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Introduction to neural dynamics and signal transmission delay</subfield><subfield code="c">Jianhong Wu</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ; New York</subfield><subfield code="b"><<de>> Gruyter</subfield><subfield code="c">2001</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 182 S.</subfield><subfield code="b">graph. Darst. : 24 cm</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">De Gruyter series in nonlinear analysis and applications</subfield><subfield code="v">6</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematisches Modell</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Models, Neurological</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Neural networks (Neurobiology)</subfield><subfield code="x">Mathematical models</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Synaptic Transmission</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nervennetz</subfield><subfield code="0">(DE-588)4041638-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentialgleichung mit nacheilendem Argument</subfield><subfield code="0">(DE-588)4199298-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Dynamisches Modell</subfield><subfield code="0">(DE-588)4150932-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Nervennetz</subfield><subfield code="0">(DE-588)4041638-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Dynamisches Modell</subfield><subfield code="0">(DE-588)4150932-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Differentialgleichung mit nacheilendem Argument</subfield><subfield code="0">(DE-588)4199298-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">De Gruyter series in nonlinear analysis and applications</subfield><subfield code="v">6</subfield><subfield code="w">(DE-604)BV005530011</subfield><subfield code="9">6</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009358744&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-009358744</subfield></datafield></record></collection> |
| id | DE-604.BV013694460 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:50:23Z |
| institution | BVB |
| isbn | 3110169886 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009358744 |
| oclc_num | 45806397 |
| open_access_boolean | |
| owner | DE-703 DE-91G DE-BY-TUM DE-384 DE-11 DE-188 |
| owner_facet | DE-703 DE-91G DE-BY-TUM DE-384 DE-11 DE-188 |
| physical | X, 182 S. graph. Darst. : 24 cm |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | <<de>> Gruyter |
| record_format | marc |
| series | De Gruyter series in nonlinear analysis and applications |
| series2 | De Gruyter series in nonlinear analysis and applications |
| spelling | Wu, Jianhong Verfasser aut Introduction to neural dynamics and signal transmission delay Jianhong Wu Berlin ; New York <<de>> Gruyter 2001 X, 182 S. graph. Darst. : 24 cm txt rdacontent n rdamedia nc rdacarrier De Gruyter series in nonlinear analysis and applications 6 Mathematisches Modell Models, Neurological Neural networks (Neurobiology) Mathematical models Synaptic Transmission Nervennetz (DE-588)4041638-0 gnd rswk-swf Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd rswk-swf Dynamisches Modell (DE-588)4150932-8 gnd rswk-swf Nervennetz (DE-588)4041638-0 s Dynamisches Modell (DE-588)4150932-8 s Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 s DE-604 De Gruyter series in nonlinear analysis and applications 6 (DE-604)BV005530011 6 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009358744&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wu, Jianhong Introduction to neural dynamics and signal transmission delay De Gruyter series in nonlinear analysis and applications Mathematisches Modell Models, Neurological Neural networks (Neurobiology) Mathematical models Synaptic Transmission Nervennetz (DE-588)4041638-0 gnd Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd Dynamisches Modell (DE-588)4150932-8 gnd |
| subject_GND | (DE-588)4041638-0 (DE-588)4199298-2 (DE-588)4150932-8 |
| title | Introduction to neural dynamics and signal transmission delay |
| title_auth | Introduction to neural dynamics and signal transmission delay |
| title_exact_search | Introduction to neural dynamics and signal transmission delay |
| title_full | Introduction to neural dynamics and signal transmission delay Jianhong Wu |
| title_fullStr | Introduction to neural dynamics and signal transmission delay Jianhong Wu |
| title_full_unstemmed | Introduction to neural dynamics and signal transmission delay Jianhong Wu |
| title_short | Introduction to neural dynamics and signal transmission delay |
| title_sort | introduction to neural dynamics and signal transmission delay |
| topic | Mathematisches Modell Models, Neurological Neural networks (Neurobiology) Mathematical models Synaptic Transmission Nervennetz (DE-588)4041638-0 gnd Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd Dynamisches Modell (DE-588)4150932-8 gnd |
| topic_facet | Mathematisches Modell Models, Neurological Neural networks (Neurobiology) Mathematical models Synaptic Transmission Nervennetz Differentialgleichung mit nacheilendem Argument Dynamisches Modell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009358744&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005530011 |
| work_keys_str_mv | AT wujianhong introductiontoneuraldynamicsandsignaltransmissiondelay |