Journal Articles

Permanent URI for this collectionhttps://mro.massey.ac.nz/handle/10179/7915

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Start date: 2023Subject: search.filters.subject.Chaos

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    Three forms of dimension reduction for border-collision bifurcations
    (Elsevier B V, 2025-08-05) Simpson DJW
    For dynamical systems that switch between different modes of operation, parameter variation can cause periodic solutions to lose or acquire new switching events. When this causes the eigenvalues (stability multipliers) associated with the solution to change discontinuously, we show that if one eigenvalue remains continuous then all local invariant sets of the leading-order approximation to the system occur on a lower dimensional manifold. This allows us to analyse the dynamics with fewer variables, which is particularly helpful when the dynamics is chaotic. We compare this to two other codimension-two scenarios for which dimension reduction can be achieved.
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    On the analysis of a heterogeneous coupled network of memristive Chialvo neurons
    (Springer Nature, 2023-09-01) Ghosh I; Muni SS; Fatoyinbo HO
    We perform a numerical study on the application of electromagnetic flux on a heterogeneous network of Chialvo neurons represented by a ring-star topology. Heterogeneities are realized by introducing additive noise modulations on both the central–peripheral and the peripheral–peripheral coupling links in the topology not only varying in space but also in time. The variation in time is understood by two coupling probabilities, one for the central–peripheral connections and the other for the peripheral–peripheral connections, respectively, that update the network topology with each iteration in time. We have further reported various rich spatiotemporal patterns like two-cluster states, chimera states, coherent, and asynchronized states that arise throughout the network dynamics. We have also investigated the appearance of a special kind of asynchronization behavior called “solitary nodes” that have a wide range of applications pertaining to real-world nervous systems. In order to characterize the behavior of the nodes under the influence of these heterogeneities, we have studied two different metrics called the “cross-correlation coefficient” and the “synchronization error.” Additionally, to capture the statistical property of the network, for example, how complex the system behaves, we have also studied a measure called “sample entropy.” Various two-dimensional color-coded plots are presented in the study to exhibit how these metrics/measures behave with the variation of parameters.
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    Cross-Country Determinants of Market Efficiency: A Technical Analysis Perspective
    (Elsevier B V, 2024-12) Fang J; Jacobsen B
    This study examines the relative impact of seven factors, including herding, sentiments, and institutional quality, on varying levels of weak form market efficiency across 50 stock markets. The analysis focuses on the profitability of technical analysis trading strategies to address issues with other (statistical) market efficiency measures related to information and transaction costs (Griffin et al., 2010). Proxies for herding, institutional quality, and equity market development consistently emerge as the most significant cross-country determinants of relative market efficiency. In contrast, proxies for fractionalization, chaos, and investor protection play comparatively weaker roles. We also find no clear link between market efficiency and sentiment proxies.