IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v198y2025ics0960077925005557.html

Explosive transitions in aging dynamics of coupled Hindmarsh-Rose neurons with distance-dependent interactions

Author

Listed:
  • Durairaj, Premraj
  • Kanagaraj, Sathiyadevi
  • Guo, Yingshan
  • Zheng, Zhigang

Abstract

The abrupt onset of deterioration can have a profound impact on real-world situations, making it crucial to understand this process in order to prevent such events before they arise. In particular, understanding the dynamics of explosive transitions and aging behaviors in neural systems is essential for mitigating harmful illnesses. Importantly, we focus on such phenomena in coupled systems with distance-dependent interactions. Therefore, we primarily investigate the aging dynamics of globally coupled Hindmarsh-Rose (HR) neurons with distance-dependent interactions, concentrating on key factors such as coupling strength, inactive ratio, and decay rate that drive transitions between oscillatory and aging states. Through the use of the amplitude order parameter and bifurcation analysis, we identify the emergence of aging behaviors. Our findings show that increasing both the coupling strength and inactive ratio expands the aging region, while higher decay rates reverse aging dynamics by restoring rhythmic behavior. Importantly, we demonstrate bistability between aging (AG) and cluster oscillatory states (COS), exhibiting hysteresis characteristics. These results are validated through bifurcation and basin of attraction analysis, confirming the coexistence under varying initial conditions using a reduced model approach. Additionally, we explore the existence of explosive transitions and aging dynamics within complex network topologies, including small-world and random interactions. These findings significantly enhance our understanding of aging mechanisms in neural networks, with broader implications for brain aging, neuronal dysfunction, and other biological systems.

Suggested Citation

  • Durairaj, Premraj & Kanagaraj, Sathiyadevi & Guo, Yingshan & Zheng, Zhigang, 2025. "Explosive transitions in aging dynamics of coupled Hindmarsh-Rose neurons with distance-dependent interactions," Chaos, Solitons & Fractals, Elsevier, vol. 198(C).
    • Handle: RePEc:eee:chsofr:v:198:y:2025:i:c:s0960077925005557
    DOI: 10.1016/j.chaos.2025.116542
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077925005557
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2025.116542?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Nicholas A. Bishop & Tao Lu & Bruce A. Yankner, 2010. "Neural mechanisms of ageing and cognitive decline," Nature, Nature, vol. 464(7288), pages 529-535, March.
    2. Edwin Lebrija-Trejos & Andrés Hernández & S. Joseph Wright, 2023. "Effects of moisture and density-dependent interactions on tropical tree diversity," Nature, Nature, vol. 615(7950), pages 100-104, March.
    3. Sathiyadevi, K. & Premraj, D. & Banerjee, Tanmoy & Zheng, Zhigang & Lakshmanan, M., 2022. "Aging transition under discrete time-dependent coupling: Restoring rhythmicity from aging," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    4. Asir, M. Paul & Durairaj, Premraj & Kanagaraj, Sathiyadevi & Lakshmanan, M., 2024. "Explosive and semi-explosive transitions in parametrically perturbed systems," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    5. Hui, Nirmalendu & Biswas, Debabrata & Bandyopadhyay, Biswabibek & Chakraborty, Meenakshi & Banerjee, Tanmoy, 2024. "Filtering induced explosive death in coupled FitzHugh–Nagumo neurons: Theory and experiment," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    6. Wang, Xuan & Zheng, Zhigang & Xu, Can, 2023. "Explosive synchronization in phase oscillator populations with attractive and repulsive adaptive interactions," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    7. Stefano Ghirlanda & Magnus Enquist, 2007. "Cumulative culture and explosive demographic transitions," Quality & Quantity: International Journal of Methodology, Springer, vol. 41(4), pages 591-600, August.
    8. Liu, Yuanyuan & Sun, Zhongkui & Yang, Xiaoli & Xu, Wei, 2021. "Dynamical robustness and firing modes in multilayer memristive neural networks of nonidentical neurons," Applied Mathematics and Computation, Elsevier, vol. 409(C).
    Full references (including those not matched with items on IDEAS)

    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. Filipe Rodrigues & Christophe Domingos & Diogo Monteiro & Pedro Morouço, 2022. "A Review on Aging, Sarcopenia, Falls, and Resistance Training in Community-Dwelling Older Adults," IJERPH, MDPI, vol. 19(2), pages 1-11, January.
    2. Kolk, Martin, 2019. "Demographic Theory and Population Ethics – Relationships between Population Size and Population Growth," SocArXiv 62wxd, Center for Open Science.
    3. Wang, Yuexin & Sun, Zhongkui & Zhang, Hanqi & Zhou, Yining & Liu, Shutong & Xu, Wei, 2024. "Dynamic survivability of two-layer networks: The role of interlayer coupling," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    4. Yu, Fei & Kong, Xinxin & Yao, Wei & Zhang, Jin & Cai, Shuo & Lin, Hairong & Jin, Jie, 2024. "Dynamics analysis, synchronization and FPGA implementation of multiscroll Hopfield neural networks with non-polynomial memristor," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    5. Maria Thürmer & André Gollowitzer & Helmut Pein & Konstantin Neukirch & Elif Gelmez & Lorenz Waltl & Natalie Wielsch & René Winkler & Konstantin Löser & Julia Grander & Madlen Hotze & Sönke Harder & A, 2022. "PI(18:1/18:1) is a SCD1-derived lipokine that limits stress signaling," Nature Communications, Nature, vol. 13(1), pages 1-21, December.
    6. Małgorzata Marjańska & Uzay E Emir & Dinesh K Deelchand & Melissa Terpstra, 2013. "Faster Metabolite 1H Transverse Relaxation in the Elder Human Brain," PLOS ONE, Public Library of Science, vol. 8(10), pages 1-1, October.
    7. Jing-Yi Ai & Feng-Tzu Chen & Shu-Shih Hsieh & Shih-Chun Kao & Ai-Guo Chen & Tsung-Min Hung & Yu-Kai Chang, 2021. "The Effect of Acute High-Intensity Interval Training on Executive Function: A Systematic Review," IJERPH, MDPI, vol. 18(7), pages 1-17, March.
    8. Sofia Seinfeld & Maria V. Sanchez-Vives, 2015. "Healthy Aging Promotion through Neuroscientific Information-Based Strategies," IJERPH, MDPI, vol. 12(10), pages 1-13, September.
    9. Kandler, Anne & Laland, Kevin N., 2009. "An investigation of the relationship between innovation and cultural diversity," Theoretical Population Biology, Elsevier, vol. 76(1), pages 59-67.
    10. Wakano, Joe Yuichiro & Gilpin, William & Kadowaki, Seiji & Feldman, Marcus W. & Aoki, Kenichi, 2018. "Ecocultural range-expansion scenarios for the replacement or assimilation of Neanderthals by modern humans," Theoretical Population Biology, Elsevier, vol. 119(C), pages 3-14.
    11. Xu, Can & Yu, Huajian & Guan, Shuguang, 2023. "Dynamical origin of the explosive synchronization with partial adaptive coupling," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    12. Hsiao-Lan Sharon Wang & Rongjun Yu & Yu-Tzu Wu & Wen-Yuan Lee & Ming-Fan Lin & Chia-Yuan Chen & Ein-Yiao Shen, 2013. "The Changes of Cerebral Morphology Related to Aging in Taiwanese Population," PLOS ONE, Public Library of Science, vol. 8(1), pages 1-6, January.
    13. Asir, M. Paul & Durairaj, Premraj & Kanagaraj, Sathiyadevi & Lakshmanan, M., 2024. "Explosive and semi-explosive transitions in parametrically perturbed systems," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    14. Emmanuel A. Ayeni & Ahmad M. Aldossary & Daniel A. Ayejoto & Lanre A. Gbadegesin & Abdullah A. Alshehri & Haya A. Alfassam & Henok K. Afewerky & Fahad A. Almughem & Saidu M. Bello & Essam A. Tawfik, 2022. "Neurodegenerative Diseases: Implications of Environmental and Climatic Influences on Neurotransmitters and Neuronal Hormones Activities," IJERPH, MDPI, vol. 19(19), pages 1-24, September.
    15. Kobayashi, Yutaka & Ohtsuki, Hisashi & Wakano, Joe Y., 2016. "Population size vs. social connectedness — A gene-culture coevolutionary approach to cumulative cultural evolution," Theoretical Population Biology, Elsevier, vol. 111(C), pages 87-95.
    16. Santillán, Moisés, 2025. "Pulse-coupled oscillator synchronization: Bridging theory and experiments with electronic firefly networks," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    17. repec:osf:socarx:62wxd_v1 is not listed on IDEAS
    18. Ghirlanda, Stefano & Enquist, Magnus & Perc, Matjaž, 2010. "Sustainability of culture-driven population dynamics," Theoretical Population Biology, Elsevier, vol. 77(3), pages 181-188.
    19. Li, Qian & Lei, Youming, 2024. "Vibration-resonance chimeras in coupled excitable systems with heterogeneous aperiodic excitations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 654(C).
    20. Felix Riede & R. Bentley, 2008. "Increasing the relevance of mathematical approaches to demographic history," Quality & Quantity: International Journal of Methodology, Springer, vol. 42(2), pages 275-281, April.
    21. Enquist, M. & Ghirlanda, S. & Jarrick, A. & Wachtmeister, C.-A., 2008. "Why does human culture increase exponentially?," Theoretical Population Biology, Elsevier, vol. 74(1), pages 46-55.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:chsofr:v:198:y:2025:i:c:s0960077925005557. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.