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Field of Research : Dynamical Systems
Field of Research : Pure Mathematics
Australian State/Territory : ACT
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  • Funded Activity

    Linkage Projects - Grant ID: LP0454887

    Funder
    Australian Research Council
    Funding Amount
    $70,668.00
    Summary
    Sustaining Australia's sheep industry under climate change: modelling Australia's sheep flock response to climatic and economic constraints. This project aims to provide a quantitative assessment of the impact of climate change and economic conditions on the Australian sheep industry. This will be achieved by constructing a robust dynamic model of the Australian sheep flock capable of integrating biophysical and economic constraints across regional and national scales. Using historical and proje .... Sustaining Australia's sheep industry under climate change: modelling Australia's sheep flock response to climatic and economic constraints. This project aims to provide a quantitative assessment of the impact of climate change and economic conditions on the Australian sheep industry. This will be achieved by constructing a robust dynamic model of the Australian sheep flock capable of integrating biophysical and economic constraints across regional and national scales. Using historical and projected biophysical and economic inputs it will enhance the capacity of the Australian sheep industry for strategic planning in the face of projected climate change. This capacity is being actively sought by the peak sheep industry bodies in conjunction with our industry partner the Bureau of Rural Sciences.
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    Funded Activity

    Special Research Initiatives - Grant ID: SR0354716

    Funder
    Australian Research Council
    Funding Amount
    $10,000.00
    Summary
    Energetically Open Systems Research Network Study. Conceptual frameworks arising in the physical sciences, such as non-equilibrium statistical mechanics and thermodynamics, synergetics, chaos and dynamical systems theory, are seminal in the emerging science of complexity. This study will lay the groundwork for a network to link Australian and overseas research on these fundamental concepts, and their application within the context of entropy-producing systems vital to the long-term sustainabilit .... Energetically Open Systems Research Network Study. Conceptual frameworks arising in the physical sciences, such as non-equilibrium statistical mechanics and thermodynamics, synergetics, chaos and dynamical systems theory, are seminal in the emerging science of complexity. This study will lay the groundwork for a network to link Australian and overseas research on these fundamental concepts, and their application within the context of entropy-producing systems vital to the long-term sustainability of the earth - oceans, atmosphere, biosphere, CO2-free energy production, space and solar environment. The network would facilitate the development of young investigators and be linked into wider complex systems networks such as the CSIRO Centre for Complex Systems Science.
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    Funded Activity

    Linkage - International - Grant ID: LX0347292

    Funder
    Australian Research Council
    Funding Amount
    $9,000.00
    Summary
    Low-order dynamical models for non-linear fluid behaviour in quasi two-dimensional plasmas. Two complex systems in which a magnetic field imposes two-dimensional fluid motions are turbulent fusion plasmas and magnetospheric plasmas. A distinctive property of 2D flows is the inverse energy cascade, whereby energy streaming into large-scale vortices, coherent structures, or sheared flows gives a remarkable propensity for self-organizing behaviour. This can be exploited to govern or guide our respo .... Low-order dynamical models for non-linear fluid behaviour in quasi two-dimensional plasmas. Two complex systems in which a magnetic field imposes two-dimensional fluid motions are turbulent fusion plasmas and magnetospheric plasmas. A distinctive property of 2D flows is the inverse energy cascade, whereby energy streaming into large-scale vortices, coherent structures, or sheared flows gives a remarkable propensity for self-organizing behaviour. This can be exploited to govern or guide our response to such systems. We propose to investigate the dynamics of momentum and energy exchange in these plasmas, using reduced dynamical models and bifurcation and stability mathematics. Expected outcomes are improved prediction of magnetospheric substorms and confinement of fusion plasmas.
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    Funded Activity

    Discovery Projects - Grant ID: DP0558974

    Funder
    Australian Research Council
    Funding Amount
    $558,000.00
    Summary
    A new generation of fractals: theory, computation, and applications particularly to digital imaging. The project develops the mathematical and algorithmic foundations of superfractals and applies these results to a number of different areas, including in particular, digital imaging. For example, the ``third generation'' of mobile communications (3G), combines wireless mobile technology with high data transmission capacities. Currently the requirement for extensive bandwidth is a problem for e .... A new generation of fractals: theory, computation, and applications particularly to digital imaging. The project develops the mathematical and algorithmic foundations of superfractals and applies these results to a number of different areas, including in particular, digital imaging. For example, the ``third generation'' of mobile communications (3G), combines wireless mobile technology with high data transmission capacities. Currently the requirement for extensive bandwidth is a problem for efficient use. Superfractals and the associated colouring algorithm could be used to develop a new system to produce synthetic content for wireless devices that would require only low bandwidth.
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