IDEAS home Printed from https://ideas.repec.org/a/hin/complx/7209762.html
   My bibliography  Save this article

On the Periods of Parallel Dynamical Systems

Author

Listed:
  • Juan A. Aledo
  • Luis G. Diaz
  • Silvia Martinez
  • Jose C. Valverde

Abstract

In this work, we provide conditions to obtain fixed point theorems for parallel dynamical systems over graphs with (Boolean) maxterms and minterms as global evolution operators. In order to do that, we previously prove that periodic orbits of different periods cannot coexist, which implies that Sharkovsky’s order is not valid for this kind of dynamical systems.

Suggested Citation

  • Juan A. Aledo & Luis G. Diaz & Silvia Martinez & Jose C. Valverde, 2017. "On the Periods of Parallel Dynamical Systems," Complexity, Hindawi, vol. 2017, pages 1-6, January.
    • Handle: RePEc:hin:complx:7209762
    DOI: 10.1155/2017/7209762
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/8503/2017/7209762.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/8503/2017/7209762.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2017/7209762?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Juan A. Aledo & Silvia Martinez & Jose C. Valverde, 2015. "Parallel Dynamical Systems over Graphs and Related Topics: A Survey," Journal of Applied Mathematics, Hindawi, vol. 2015, pages 1-14, March.
    2. G. Chiaselotti & G. Marino & P. A. Oliverio & D. Petrassi, 2013. "A Discrete Dynamical Model of Signed Partitions," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-10, April.
    3. Barrett, Chris L & Chen, William Y.C & Zheng, Michelle J, 2004. "Discrete dynamical systems on graphs and Boolean functions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 66(6), pages 487-497.
    4. Chiaselotti, G. & Gentile, T. & Oliverio, P.A., 2014. "Parallel and sequential dynamics of two discrete models of signed integer partitions," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 1249-1261.
    5. Toroczkai, Zoltán & Guclu, Hasan, 2007. "Proximity networks and epidemics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 378(1), pages 68-75.
    6. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Juan A. Aledo & Ali Barzanouni & Ghazaleh Malekbala & Leila Sharifan & Jose C. Valverde, 2020. "On the Periodic Structure of Parallel Dynamical Systems on Generalized Independent Boolean Functions," Mathematics, MDPI, vol. 8(7), pages 1-14, July.
    2. Juan A. Aledo & Luis G. Diaz & Silvia Martinez & Jose C. Valverde, 2019. "Predecessors Existence Problems and Gardens of Eden in Sequential Dynamical Systems," Complexity, Hindawi, vol. 2019, pages 1-10, March.
    3. Juan A. Aledo & Luis G. Diaz & Silvia Martinez & Jose C. Valverde, 2020. "Coexistence of Periods in Parallel and Sequential Boolean Graph Dynamical Systems over Directed Graphs," Mathematics, MDPI, vol. 8(10), pages 1-14, October.
    4. Aledo, Juan A. & Diaz, Luis G. & Martinez, Silvia & Valverde, Jose C., 2019. "Dynamical attraction in parallel network models," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 874-888.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Juan A. Aledo & Luis G. Diaz & Silvia Martinez & Jose C. Valverde, 2019. "Predecessors Existence Problems and Gardens of Eden in Sequential Dynamical Systems," Complexity, Hindawi, vol. 2019, pages 1-10, March.
    2. Aledo, Juan A. & Diaz, Luis G. & Martinez, Silvia & Valverde, Jose C., 2019. "Dynamical attraction in parallel network models," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 874-888.
    3. Aledo, Juan A. & Diaz, Luis G. & Martinez, Silvia & Valverde, Jose C., 2019. "Solution to the predecessors and Gardens-of-Eden problems for synchronous systems over directed graphs," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 22-28.
    4. Juan A. Aledo & Luis G. Diaz & Silvia Martinez & Jose C. Valverde, 2020. "Coexistence of Periods in Parallel and Sequential Boolean Graph Dynamical Systems over Directed Graphs," Mathematics, MDPI, vol. 8(10), pages 1-14, October.
    5. Juan A. Aledo & Ali Barzanouni & Ghazaleh Malekbala & Leila Sharifan & Jose C. Valverde, 2020. "On the Periodic Structure of Parallel Dynamical Systems on Generalized Independent Boolean Functions," Mathematics, MDPI, vol. 8(7), pages 1-14, July.
    6. Mauro Mezzini & Fernando L. Pelayo, 2020. "An Algorithm for Counting the Fixed Point Orbits of an AND-OR Dynamical System with Symmetric Positive Dependency Graph," Mathematics, MDPI, vol. 8(9), pages 1-9, September.
    7. Sanahuja, Silvia M., 2016. "New rough approximations for n-cycles and n-paths," Applied Mathematics and Computation, Elsevier, vol. 276(C), pages 96-108.
    8. Geert Bekaert & Robert J. Hodrick, 2001. "Expectations Hypotheses Tests," Journal of Finance, American Finance Association, vol. 56(4), pages 1357-1394, August.
    9. Nakashima, Kiyotaka & Ogawa, Toshiaki, 2020. "The Impacts of Strengthening Regulatory Surveillance on Bank Behavior: A Dynamic Analysis from Incomplete to Complete Enforcement of Capital Regulation in Microprudential Policy," MPRA Paper 99938, University Library of Munich, Germany.
    10. Król, Michał, 2012. "Product differentiation decisions under ambiguous consumer demand and pessimistic expectations," International Journal of Industrial Organization, Elsevier, vol. 30(6), pages 593-604.
    11. G. Sujatha, 2018. "‘Is It Family or Politics?’ Reflections on Gender and the Modern Tamil Subjectivity Constitution in the Discourse of C. N. Annadurai," Studies in Indian Politics, , vol. 6(2), pages 267-281, December.
    12. repec:dgr:rugsom:04a27 is not listed on IDEAS
    13. Alhassan, Mustapha & Gustafson, Christopher R. & Schoengold, Karina, 2017. "Effects of Information Framing on Smallholder Irrigation Farmers’ Willingness to Pay for Groundwater Protection: The Case of Vea Irrigation Scheme in Ghana," 2017 Annual Meeting, July 30-August 1, Chicago, Illinois 258432, Agricultural and Applied Economics Association.
    14. Sergio Sousa, 2010. "Small-scale changes in wealth and attitudes toward risk," Discussion Papers 2010-11, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    15. Laczó, Sarolta & Rossi, Raffaele, 2020. "Time-consistent consumption taxation," Journal of Monetary Economics, Elsevier, vol. 114(C), pages 194-220.
    16. Pratap, Sangeeta & Urrutia, Carlos, 2004. "Firm dynamics, investment and debt portfolio: balance sheet effects of the Mexican crisis of 1994," Journal of Development Economics, Elsevier, vol. 75(2), pages 535-563, December.
    17. D’Erasmo, P. & Mendoza, E.G. & Zhang, J., 2016. "What is a Sustainable Public Debt?," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 2493-2597, Elsevier.
    18. Alain Egli, 2005. "Hotelling's Beach with Linear and Quadratic Transportation Costs: Existence of Pure Strategy Equilibria," Diskussionsschriften dp0509, Universitaet Bern, Departement Volkswirtschaft.
    19. T.R.L. Fry & R.D. Brooks & Br. Comley & J. Zhang, 1993. "Economic Motivations for Limited Dependent and Qualitative Variable Models," The Economic Record, The Economic Society of Australia, vol. 69(2), pages 193-205, June.
    20. Rodolphe Dos Santos Ferreira & Frédéric Dufourt, 2013. "On Stabilization Policy in Sunspot-Driven Oligopolistic Economies," AMSE Working Papers 1337, Aix-Marseille School of Economics, France, revised 30 Jun 2013.
    21. Diego Esparza & Jessica Lucas & Enrique Martinez & James Meernik & Ignacio Molinero & Victoria Nevarez, 2020. "Movement of the people: Violence and internal displacement," International Area Studies Review, Center for International Area Studies, Hankuk University of Foreign Studies, vol. 23(3), pages 233-250, September.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:complx:7209762. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.