IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v224y1996i1p433-446.html
   My bibliography  Save this article

Controlled transition from chaos to periodic oscillations in a neural network model

Author

Listed:
  • Sinha, Sitabhra

Abstract

Neurobiological studies have indicated that rapid transitions between chaotic and relatively more ordered states may be the key towards understanding how the brain performs cognitive tasks. This immediately suggests that methods of controlling chaos put forward by Ott et al. and Hunt may be used to study similar phenomena in neural network models. In the work described in this paper, an oscillatory neural network that can exhibit chaos under certain conditions was used for controlling purpose. On imposition of control, transition of the network behavior from chaos to periodicity was observed. This has implications for both the explanation of observed neurobiological phenomena (e.g., during epileptic seizures) as well as a more dynamic interpretation of associative recall performed by neural network models.

Suggested Citation

  • Sinha, Sitabhra, 1996. "Controlled transition from chaos to periodic oscillations in a neural network model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 224(1), pages 433-446.
    • Handle: RePEc:eee:phsmap:v:224:y:1996:i:1:p:433-446
    DOI: 10.1016/0378-4371(95)00328-2
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437195003282
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/0378-4371(95)00328-2?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Elhance, Arun P. & Lakshmanan, T. R., 1988. "Infrastructure-production system dynamics in national and regional systems : An econometric study of the Indian economy," Regional Science and Urban Economics, Elsevier, vol. 18(4), pages 511-531, November.
    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. Pal, Mayukha & P., Manimaran & Panigrahi, Prasanta K., 2022. "A multi scale time–frequency analysis on Electroencephalogram signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 586(C).

    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. Balakrishnan, Pulapre & Das, Mausumi & Parameswaran, M., 2017. "The internal dynamic of Indian economic growth," Journal of Asian Economics, Elsevier, vol. 50(C), pages 46-61.
    2. Prabir De & Buddhadeb Ghosh, 2005. "Effects of infrastructure on regional income in the era of globalization: new evidence from South Asia," Asia-Pacific Development Journal, United Nations Economic and Social Commission for Asia and the Pacific (ESCAP), vol. 12(1), pages 81-107, June.
    3. Marie-Ange VEGANZONES-VAROUDAKIS, 2000. "Infrastructures, investissement et croissance : un bilan de dix années de recherches," Working Papers 200007, CERDI.
    4. Debashis Chakraborty & Arup Guha, 2009. "Infrastructure and Economic Growth in India," Journal of Infrastructure Development, India Development Foundation, vol. 1(1), pages 67-86, June.
    5. Binetti, Marco Nicola, 2023. "Rebuilding energy infrastructures and the manufacturing sector in post-conflict countries," Energy Policy, Elsevier, vol. 172(C).
    6. Gunasekera, Kumudu & Anderson, William & Lakshmanan, T.R., 2008. "Highway-Induced Development: Evidence from Sri Lanka," World Development, Elsevier, vol. 36(11), pages 2371-2389, November.
    7. Lakshmanan, T.R., 2011. "The broader economic consequences of transport infrastructure investments," Journal of Transport Geography, Elsevier, vol. 19(1), pages 1-12.
    8. Seyed Aziz Arman & Ahmad salah manesh & Amin Tabaeh Izady, 2015. "Design of a CGE Model to Evaluate Investment in Transport Infrastructures: An Application for Iran," Asian Economic and Financial Review, Asian Economic and Social Society, vol. 5(3), pages 532-545, March.
    9. Andrew R. Goetz, 2011. "The Global Economic Crisis, Investment in Transport Infrastructure, and Economic Development," Chapters, in: Kenneth Button & Aura Reggiani (ed.), Transportation and Economic Development Challenges, chapter 3, Edward Elgar Publishing.
    10. Varun Chotia & NVM Rao, 2016. "Public Infrastructure Investment and Economic Growth : A Sector Wise Investigation for India Using Westerlund Panel Cointegration Approach," Romanian Economic Journal, Department of International Business and Economics from the Academy of Economic Studies Bucharest, vol. 18(59), pages 217-240, March.
    11. Pulapre Balakrishnan & Mausumi Das & M. Parameswaran, 2015. "The Mechanism of Long-Term Growth in India," Working Papers id:6414, eSocialSciences.
    12. Hsu, Chiung-Wen, 2012. "Using a system dynamics model to assess the effects of capital subsidies and feed-in tariffs on solar PV installations," Applied Energy, Elsevier, vol. 100(C), pages 205-217.
    13. Deepika Goel, 2002. "Impact of Infrastructure on Productivity: Case of Indian Registered Manufacturing," Working papers 106, Centre for Development Economics, Delhi School of Economics.
    14. Kumari, Anita & Kumar Sharma, Anil, 2017. "Infrastructure financing and development: A bibliometric review," International Journal of Critical Infrastructure Protection, Elsevier, vol. 16(C), pages 49-65.

    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:eee:phsmap:v:224:y:1996:i:1:p:433-446. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.