A discrete dynamical system on the double circulant
Under study is a discrete dynamical system on the double circulant with additive and multiplicative functions at vertices. We describe all cycles and fixed points of the functional graph of this system.
Saved in:
| Published in: | Journal of applied and industrial mathematics Vol. 8; no. 4; pp. 568 - 573 |
|---|---|
| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Moscow
Pleiades Publishing
01-10-2014
Springer Nature B.V |
| Subjects: | |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | Under study is a discrete dynamical system on the double circulant with additive and multiplicative functions at vertices. We describe all cycles and fixed points of the functional graph of this system. |
|---|---|
| AbstractList | Under study is A discrete dynamical system on the double circulant with additive and multiplicative functions at vertices. We describe all cycles and fixed points of the functional graph of this system.[PUBLICATION ABSTRACT] Under study is a discrete dynamical system on the double circulant with additive and multiplicative functions at vertices. We describe all cycles and fixed points of the functional graph of this system. |
| Author | Nazhmidenova, A. M. Perezhogin, A. L. |
| Author_xml | – sequence: 1 givenname: A. M. surname: Nazhmidenova fullname: Nazhmidenova, A. M. organization: Novosibirsk State University – sequence: 2 givenname: A. L. surname: Perezhogin fullname: Perezhogin, A. L. email: pereal@math.nsc.ru organization: Sobolev Institute of Mathematics |
| BookMark | eNp1kEtLxDAUhYOM4DjOD3BXcOOmmnfS5TD4ggEX6rqkya1W2mRM2sX8ezOMiChu7r0cvnM43FM088EDQucEXxHC-PUTqSrMla4IxxzncYTme6nkqlKz71tXJ2iZUtdgRqhkUtI5YqvCdclGGKFwO2-Gzpq-SLs0wlAEX4xvWQ9T00Nhu2in3vjxDB23pk-w_NoL9HJ787y-LzePdw_r1aa0lEhcam2dYqJ1jSFaGGVZxTDVLXYMuGkqJ7Bi3EoM4ISi2mkNSpGWO2YEtYYt0OUhdxvDxwRprIdcFfrcAcKUaiIF4VRQzTJ68Qt9D1P0uV2mqFRaaUEyRQ6UjSGlCG29jd1g4q4muN5_sv7zyeyhB0_KrH-F-CP5X9Mn0dh0hw |
| Cites_doi | 10.1016/0167-2789(86)90234-4 10.1090/coll/038 |
| ContentType | Journal Article |
| Copyright | Pleiades Publishing, Ltd. 2014 |
| Copyright_xml | – notice: Pleiades Publishing, Ltd. 2014 |
| DBID | AAYXX CITATION 3V. 7TB 7WY 7WZ 7XB 87Z 88I 8AL 8FD 8FE 8FG 8FK 8FL ABJCF ABUWG AFKRA ARAPS AZQEC BENPR BEZIV BGLVJ CCPQU DWQXO FR3 FRNLG F~G GNUQQ HCIFZ JQ2 K60 K6~ K7- KR7 L.- L6V M0C M0N M2P M7S P5Z P62 PQBIZ PQBZA PQEST PQQKQ PQUKI PRINS PTHSS PYYUZ Q9U |
| DOI | 10.1134/S1990478914040140 |
| DatabaseName | CrossRef ProQuest Central (Corporate) Mechanical & Transportation Engineering Abstracts ABI/INFORM Collection ABI/INFORM Global (PDF only) ProQuest Central (purchase pre-March 2016) ABI/INFORM Collection Science Database (Alumni Edition) Computing Database (Alumni Edition) Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection ProQuest Central (Alumni) (purchase pre-March 2016) ABI/INFORM Collection (Alumni Edition) Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central UK/Ireland Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Central Business Premium Collection Technology Collection ProQuest One Community College ProQuest Central Engineering Research Database Business Premium Collection (Alumni) ABI/INFORM Global (Corporate) ProQuest Central Student SciTech Premium Collection ProQuest Computer Science Collection ProQuest Business Collection (Alumni Edition) ProQuest Business Collection Computer Science Database Civil Engineering Abstracts ABI/INFORM Professional Advanced ProQuest Engineering Collection ABI/INFORM Global Computing Database Science Database Engineering Database Advanced Technologies & Aerospace Database ProQuest Advanced Technologies & Aerospace Collection One Business ProQuest One Business (Alumni) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Academic ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection ABI/INFORM Collection China ProQuest Central Basic |
| DatabaseTitle | CrossRef ABI/INFORM Global (Corporate) ProQuest Business Collection (Alumni Edition) ProQuest One Business Computer Science Database ProQuest Central Student Technology Collection Technology Research Database Mechanical & Transportation Engineering Abstracts ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Central China ABI/INFORM Complete ProQuest Central ABI/INFORM Professional Advanced ProQuest Engineering Collection ProQuest Central Korea ABI/INFORM Complete (Alumni Edition) Engineering Collection Advanced Technologies & Aerospace Collection Business Premium Collection Civil Engineering Abstracts ABI/INFORM Global ProQuest Computing Engineering Database ProQuest Science Journals (Alumni Edition) ABI/INFORM Global (Alumni Edition) ProQuest Central Basic ProQuest Science Journals ProQuest Computing (Alumni Edition) ProQuest One Academic Eastern Edition ABI/INFORM China ProQuest Technology Collection ProQuest SciTech Collection ProQuest Business Collection Advanced Technologies & Aerospace Database ProQuest One Academic UKI Edition Materials Science & Engineering Collection ProQuest One Business (Alumni) Engineering Research Database ProQuest One Academic ProQuest Central (Alumni) Business Premium Collection (Alumni) |
| DatabaseTitleList | ABI/INFORM Global (Corporate) Civil Engineering Abstracts |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 1990-4797 |
| EndPage | 573 |
| ExternalDocumentID | 3503557711 10_1134_S1990478914040140 |
| Genre | Feature |
| GroupedDBID | -5D -5G -BR -EM -Y2 -~C .VR 06D 0R~ 0VY 1N0 29J 2J2 2JN 2JY 2KG 2KM 2LR 2VQ 2~H 30V 3V. 4.4 408 40D 40E 5GY 5VS 6NX 7WY 88I 8FE 8FG 8FL 8TC 95- 95. 95~ 96X AAAVM AABHQ AAFGU AAHNG AAIAL AAJKR AANZL AARHV AARTL AATNV AATVU AAUYE AAWCG AAYFA AAYIU AAYQN AAYTO ABDZT ABECU ABFGW ABFTD ABFTV ABHQN ABJCF ABJNI ABJOX ABKAS ABKCH ABMNI ABMQK ABNWP ABQBU ABSXP ABTEG ABTHY ABTKH ABTMW ABULA ABUWG ABWNU ABXPI ACBMV ACBRV ACBXY ACBYP ACGFS ACGOD ACHSB ACHXU ACIGE ACIPQ ACIWK ACKNC ACMDZ ACMLO ACOKC ACOMO ACSNA ACTTH ACVWB ACWMK ADHHG ADINQ ADKNI ADKPE ADMDM ADOXG ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEFTE AEGAL AEGNC AEJHL AEJRE AEOHA AEPYU AESTI AETLH AEVLU AEVTX AEXYK AFGCZ AFKRA AFLOW AFNRJ AFQWF AFWTZ AFZKB AGAYW AGDGC AGGBP AGJBK AGMZJ AGQMX AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AIAKS AIIXL AILAN AIMYW AITGF AJBLW AJDOV AJRNO AKQUC ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AMYQR AOCGG ARAPS ARMRJ AXYYD AZQEC B-. BA0 BAPOH BDATZ BENPR BEZIV BGLVJ BGNMA BPHCQ CAG CCPQU COF CS3 CSCUP DDRTE DNIVK DPUIP DWQXO EBLON EBS EIOEI EJD FERAY FFXSO FIGPU FINBP FNLPD FRNLG FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNUQQ GNWQR GQ6 GQ7 GROUPED_ABI_INFORM_COMPLETE HCIFZ HF~ HG6 HLICF HMJXF HRMNR HZ~ IJ- IKXTQ IWAJR IXD I~X I~Z J-C J9A JBSCW JZLTJ K60 K6V K6~ K7- KOV L6V LLZTM M0C M0N M2P M4Y M7S MA- NPVJJ NQJWS NU0 O9- O93 O9J P2P P62 P9R PF0 PQBIZ PQQKQ PROAC PT4 PTHSS Q2X QOS R89 R9I ROL RSV S16 S1Z S27 S3B SAP SDH SHX SISQX SMT SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 TSG TUC UG4 UNUBA UOJIU UTJUX UZXMN VC2 VFIZW W48 WK8 XU3 YLTOR ZMTXR ~A9 AACDK AAJBT AASML AAYXX AAYZH ABAKF ACAOD ACDTI ACZOJ AEFQL AEMSY AFBBN AGRTI AIGIU CITATION H13 PQBZA SJYHP 7TB 7XB 8AL 8FD 8FK FR3 JQ2 KR7 L.- PQEST PQUKI PRINS Q9U |
| ID | FETCH-LOGICAL-c2160-88cd735fdba185a7c393028f0d3e4ab9d50734c60eed5728d88e771f4d3a52ca3 |
| IEDL.DBID | AEJHL |
| ISSN | 1990-4789 |
| IngestDate | Fri Oct 25 11:21:15 EDT 2024 Mon Nov 04 11:43:32 EST 2024 Thu Nov 21 21:53:41 EST 2024 Sat Dec 16 12:01:14 EST 2023 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 4 |
| Keywords | regulatory contour functional graph circulant gene network discrete dynamical system |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c2160-88cd735fdba185a7c393028f0d3e4ab9d50734c60eed5728d88e771f4d3a52ca3 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
| PQID | 1626787851 |
| PQPubID | 54414 |
| PageCount | 6 |
| ParticipantIDs | proquest_miscellaneous_1651425283 proquest_journals_1626787851 crossref_primary_10_1134_S1990478914040140 springer_journals_10_1134_S1990478914040140 |
| PublicationCentury | 2000 |
| PublicationDate | 20141001 |
| PublicationDateYYYYMMDD | 2014-10-01 |
| PublicationDate_xml | – month: 10 year: 2014 text: 20141001 day: 01 |
| PublicationDecade | 2010 |
| PublicationPlace | Moscow |
| PublicationPlace_xml | – name: Moscow – name: Dordrecht |
| PublicationTitle | Journal of applied and industrial mathematics |
| PublicationTitleAbbrev | J. Appl. Ind. Math |
| PublicationYear | 2014 |
| Publisher | Pleiades Publishing Springer Nature B.V |
| Publisher_xml | – name: Pleiades Publishing – name: Springer Nature B.V |
| References | Kauffman, Smith (CR9) 1986; 22 Demidenko, Kolchanov, Likhoshvai, Matushkin, Fadeev (CR2) 2004; 44 Ore (CR6) 1962 Grigorenko, Evdokimov, Likhoshvai, Lobareva (CR1) 2005 Evdokimov, Likhovidova (CR3) 2008 Evdokimov, Perezhogin (CR4) 2011; 18 Likhoshvai, Golubyatnikov, Demidenko, Evdokimov, Matveeva, Fadeev (CR5) 2008 Kutumova, Evdokimov (CR7) 2011 Kauffman (CR8) 1995 A A Evdokimov (4374_CR4) 2011; 18 E D Grigorenko (4374_CR1) 2005 E O Kutumova (4374_CR7) 2011 V A Likhoshvai (4374_CR5) 2008 G V Demidenko (4374_CR2) 2004; 44 S A Kauffman (4374_CR9) 1986; 22 A A Evdokimov (4374_CR3) 2008 O Ore (4374_CR6) 1962 S A Kauffman (4374_CR8) 1995 |
| References_xml | – start-page: 397 year: 2008 end-page: 480 ident: CR5 article-title: Theory of Gene Networks publication-title: Systematic Computer Biology contributor: fullname: Fadeev – year: 1962 ident: CR6 publication-title: Theory of Graphs contributor: fullname: Ore – volume: 22 start-page: 68 issue: 1–3 year: 1986 end-page: 82 ident: CR9 article-title: Adaptive Automata Based on Darwinian Selection publication-title: Physica D doi: 10.1016/0167-2789(86)90234-4 contributor: fullname: Smith – volume: 18 start-page: 39 issue: 3 year: 2011 end-page: 48 ident: CR4 article-title: Discrete Dynamical Systems of a Circulant Type with Linear Functions at the Vertices of a Network publication-title: Diskretn. Anal. Issled. Oper. contributor: fullname: Perezhogin – start-page: 18 year: 2008 end-page: 21 ident: CR3 article-title: A Discrete Model of a Gene Network of Circulant Type with Threshold Functions publication-title: Vestnik Tomsk. Gos. Univ. Ser. Upravl., Vychisl. Tekhn. i Inform. No. 2 contributor: fullname: Likhovidova – start-page: 206 year: 2005 end-page: 212 ident: CR1 article-title: Fixed Points and Cycles of the Automaton Mappings Modeling the Functioning of Gene Networks publication-title: Vestnik Tomsk. Gos. Univ. No. 14 contributor: fullname: Lobareva – year: 1995 ident: CR8 publication-title: At Home in the Universe: The Search for the Laws of Self-Organization and Complexity contributor: fullname: Kauffman – volume: 44 start-page: 2276 issue: 12 year: 2004 end-page: 2295 ident: CR2 article-title: Mathematical Modeling of the Regulatory Circuits of Gene Networks publication-title: Zh. Vychisl. Mat. i Mat. Fiz. contributor: fullname: Fadeev – start-page: 85 year: 2011 end-page: 94 ident: CR7 article-title: Reversible States of Functioning the Regulatory Circuits Discrete Models of the Gene Networks publication-title: Vestnik Tomsk. Gos. Univ. Ser. Upravl. Vychisl. Tekhn. i Inform. No. 1 contributor: fullname: Evdokimov – start-page: 18 volume-title: Vestnik Tomsk. Gos. Univ. Ser. Upravl., Vychisl. Tekhn. i Inform. No. 2 year: 2008 ident: 4374_CR3 contributor: fullname: A A Evdokimov – volume-title: Theory of Graphs year: 1962 ident: 4374_CR6 doi: 10.1090/coll/038 contributor: fullname: O Ore – volume: 22 start-page: 68 issue: 1–3 year: 1986 ident: 4374_CR9 publication-title: Physica D doi: 10.1016/0167-2789(86)90234-4 contributor: fullname: S A Kauffman – start-page: 206 volume-title: Vestnik Tomsk. Gos. Univ. No. 14 year: 2005 ident: 4374_CR1 contributor: fullname: E D Grigorenko – volume-title: At Home in the Universe: The Search for the Laws of Self-Organization and Complexity year: 1995 ident: 4374_CR8 contributor: fullname: S A Kauffman – volume: 18 start-page: 39 issue: 3 year: 2011 ident: 4374_CR4 publication-title: Diskretn. Anal. Issled. Oper. contributor: fullname: A A Evdokimov – start-page: 397 volume-title: Systematic Computer Biology year: 2008 ident: 4374_CR5 contributor: fullname: V A Likhoshvai – start-page: 85 volume-title: Vestnik Tomsk. Gos. Univ. Ser. Upravl. Vychisl. Tekhn. i Inform. No. 1 year: 2011 ident: 4374_CR7 contributor: fullname: E O Kutumova – volume: 44 start-page: 2276 issue: 12 year: 2004 ident: 4374_CR2 publication-title: Zh. Vychisl. Mat. i Mat. Fiz. contributor: fullname: G V Demidenko |
| SSID | ssib031263662 ssj0000327814 |
| Score | 1.963919 |
| Snippet | Under study is a discrete dynamical system on the double circulant with additive and multiplicative functions at vertices. We describe all cycles and fixed... Under study is A discrete dynamical system on the double circulant with additive and multiplicative functions at vertices. We describe all cycles and fixed... |
| SourceID | proquest crossref springer |
| SourceType | Aggregation Database Publisher |
| StartPage | 568 |
| SubjectTerms | Additives Dynamical systems Dynamics Functions (mathematics) Genetics Graph theory Graphs Mathematical analysis Mathematics Mathematics and Statistics Studies |
| Title | A discrete dynamical system on the double circulant |
| URI | https://link.springer.com/article/10.1134/S1990478914040140 https://www.proquest.com/docview/1626787851 https://search.proquest.com/docview/1651425283 |
| Volume | 8 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LT8MwDLZgu8CBN6IwUJE4gQppkjbpcYJNEwIuA4lblTaJhEAt2uP_4_Qx3ge49FLXrSzX_ly7nwFOMsutiUQWcEotHhIZKMPjQMoM0XcmSVQNY47G4u5RXg0cTQ5dfLoons_bjmQVqOu1I_xiHGLc5EImjg_GlQXL0MXUE6Fvd_uD69FN60UspDGLGxK8Kh4z6nidqvZyQgKno2lv_qj3c4J6R51fGqVV_hmu_-fJN2CtQZt-v3aPTVgyxRas3i6oWqfbwPq--zN3guDZ1_V6eryiJnj2y8JHUV-X8-zF-PnTxE2tFrMdeBgO7i9HQbNJIchpGBO0fK4Fi6zOFOZnJXKWMAQWlmhmuMoSjaiQ8TwmmDEjQaWW0ggRWq6Zimiu2C50irIwe-BrizkNIXmkVMItKiI5UcbJJcRaaj04bc2XvtaEGWlVaDCefrOEB73WwGnz7kzTEGssDCMIBT04XpxGr3etDFWYcu5kEOhRR0zjwVlr9Q8qfrvh_p-kD2AF8RGvZ_d60JlN5uYQlqd6ftQ43RvKIsql |
| link.rule.ids | 315,782,786,27933,27934,41073,42142,48344,48347,48357,49649,49652,49662,52153 |
| linkProvider | Springer Nature |
| linkToHtml | http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LT8MwDLbYdgAOvBGFAUXiBKpok7RNjxNsbGLbZUPiVqVNIiGhDm3r_8fpY7wPcOmlrltZrv1Zdj4DXCaaaeWHicMI0XiJuCMUCxzOE0TfCXf9YhizPwnHT_yua2hyaH0Wpph2r1uSRaQu946wm4mHgZOFPDKEMKYuaECLRQFDV251BtP7Xu1G1CMBDSoWvCIgU2KInYr-cuQ6RkfV3_xR7-cM9Q47v3RKiwTU2_7Xp-_AVoU37U7pILuwprI92BytyFoX-0A7tjmbO0f4bMtyQT0-UVI827PMRlFbzvLkRdnp89zMrWbLA3jsdae3fafapeCkxAtctH0qQ-prmQjM0CJMaUQRWmhXUsVEEknEhZSlgYs50w8Jl5yrMPQ0k1T4JBX0EJrZLFNHYEuNWQ1BuS9ExDQqclNXKCMXuVoTbcFVbb_4taTMiItSg7L4myUsaNcWjqu_ZxF7WGVhIEEwaMHF6jb6vWlmiEzNciODUI8YahoLrmurf1Dx2wuP_yR9Duv96WgYDwfjhxPYQLTEykm-NjSX81ydQmMh87PKA98AFlHOlQ |
| linkToPdf | http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3dS8MwED_cBqIPfovVqRV8UsraJG3TJxluY-ocwhR8K2mTgCDd2Mf_76Uf8_tBfOlLL1d6ueR-x11-AThPNNPKDxOHEaLxEXFHKBY4nCeIvhPu-nkzZn8UDp95p2tocq6qszB5t3tVkizONBiWpmzemkhd3kHCWiMPN1EW8siQw5gcoQYNhokMOnqj3b3tDyqXoh4JaFAy4uWbMyWG5CmvNUeuY3SUtc4f9X6OVu8Q9EvVNA9Gvc1__8YWbJQ41G4XjrMNKyrbgfX7JYnrbBdo2zZndqcIq21ZXFyPIwrqZ3uc2Shqy_EieVV2-jI1_azZfA-eet3H675T3rHgpMQLXJyTVIbU1zIRGLlFmNKIIuTQrqSKiSSSiBcpSwMXY6kfEi45V2HoaSap8Ekq6D7Us3GmDsCWGqMdgnVfiIhpVOSmrlBGLnK1JtqCi8qW8aSg0ojzFISy-JslLGhW1o7LVTWLPcy-cINBkGjB2fI1rgdT5BCZGi-MDEJAYihrLLisZuCDit8-ePgn6VNYfej04sHN8O4I1hBEsaLBrwn1-XShjqE2k4uT0hnfAM-v11g |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=A+discrete+dynamical+system+on+the+double+circulant&rft.jtitle=Journal+of+applied+and+industrial+mathematics&rft.au=Nazhmidenova%2C+A.+M.&rft.au=Perezhogin%2C+A.+L.&rft.date=2014-10-01&rft.pub=Pleiades+Publishing&rft.issn=1990-4789&rft.eissn=1990-4797&rft.volume=8&rft.issue=4&rft.spage=568&rft.epage=573&rft_id=info:doi/10.1134%2FS1990478914040140&rft.externalDocID=10_1134_S1990478914040140 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1990-4789&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1990-4789&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1990-4789&client=summon |