Search Results - "Hoppensteadt, F. C."

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  1. 1

    Conditions for sympatric speciation: A diploid model incorporating habitat fidelity and non-habitat assortative mating by Johnson, Paul A., Hoppensteadt, F. C., Smith, James J., Bush, Guy L.

    Published in Evolutionary ecology (01-03-1996)
    “…Three types of genes have been proposed to promote sympatric speciation: habitat preference genes, assortative mating genes and habitat-based fitness genes…”
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  2. 2

    Numerical solution of a problem in the theory of epidemics by Hoppensteadt, F.C., Jackiewicz, Z.

    Published in Applied numerical mathematics (01-03-2006)
    “…We propose a numerical algorithm for a model of the spread of infection in the theory of epidemics. This model involves a threshold for becoming infective and…”
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    Bursts as a unit of neural information: selective communication via resonance by Izhikevich, Eugene M., Desai, Niraj S., Walcott, Elisabeth C., Hoppensteadt, Frank C.

    Published in Trends in neurosciences (Regular ed.) (01-03-2003)
    “…What is the functional significance of generating a burst of spikes, as opposed to a single spike? A dominant point of view is that bursts are needed to…”
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    Pattern recognition via synchronization in phase-locked loop neural networks by Hoppensteadt, F.C., Izhikevich, E.M.

    Published in IEEE transactions on neural networks (01-05-2000)
    “…We propose a novel architecture of an oscillatory neural network that consists of phase-locked loop (PLL) circuits. It stores and retrieves complex oscillatory…”
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    Intermittent Chaos, Self-Organization, and Learning from Synchronous Synaptic Activity in Model Neuron Networks by Hoppensteadt, F. C.

    “…Self-organization of frequencies is studied by using model neurons called VCONs (voltage-controlled oscillator neuron models). These models give direct access…”
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    Signal Processing by Model Neural Networks by Hoppensteadt, F. C.

    Published in SIAM review (01-09-1992)
    “…Voltage controlled oscillator model neurons (VCONs) are electronic circuits that are similar to phase locked loops, but designed to account for certain…”
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    Integrate-and-Fire Models of Nerve Membrane Response to Oscillatory Input by Keener, J. P., Hoppensteadt, F. C., Rinzel, J.

    Published in SIAM journal on applied mathematics (01-12-1981)
    “…Nerve membranes exhibit curious responses to alternating current stimulation, among which are phase locking, as well as responses without apparent periodic…”
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  9. 9

    Phase clustering and transition to phase synchronization in a large number of coupled nonlinear oscillators by Liu, Z, Lai, Y C, Hoppensteadt, F C

    “…The transition to phase synchronization in systems consisting of a large number (N) of coupled nonlinear oscillators via the route of phase clustering (phase…”
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    Thalamo-cortical interactions modeled by weakly connected oscillators: could the brain use FM radio principles? by Hoppensteadt, Frank C., Izhikevich, Eugene M.

    Published in BioSystems (01-09-1998)
    “…We consider all models of the thalamo-cortical system that satisfy the following two assumptions: (1) each cortical column is an autonomous oscillator; (2)…”
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    Synaptic organizations and dynamical properties of weakly connected neural oscillators. I. Analysis of a canonical model by Hoppensteadt, F C, Izhikevich, E M

    Published in Biological cybernetics (01-08-1996)
    “…We study weakly connected networks of neural oscillators near multiple Andronov-Hopf bifurcation points. We analyze relationships between synaptic…”
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  13. 13

    Frequency modulation dynamics in neural networks by Hoppensteadt, F C

    “…The VCON model described here shares certain qualitative features of stimulus-response characteristics with the data in FIGURE 1 and TABLE 1. At the same time,…”
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  14. 14

    An Algorithm for Approximate Solutions to Weakly Filtered Synchronous Control Systems and Nonlinear Renewal Processes by Hoppensteadt, F. C.

    Published in SIAM journal on applied mathematics (01-08-1983)
    “…A multi-time perturbation algorithm is derived to study certain synchronous control systems and nonlinear renewal processes. The new methods presented here…”
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    Probing changes in neural interaction during adaptation by Zhu, Liqiang, Lai, Ying-Cheng, Hoppensteadt, Frank C, He, Jiping

    Published in Neural computation (01-10-2003)
    “…A procedure is developed to probe the changes in the functional interactions among neurons in primary motor cortex of the monkey brain during adaptation. A…”
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  16. 16

    A mathematical analysis of small mammal populations by HOPPENSTEADT, F. C, MURPHY, L

    Published in Journal of mathematical biology (01-01-1987)
    “…Populations of Microtus montanus, the montane vole, have been extensively studied. It is known that their reproductive activity is closely linked to the…”
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  17. 17

    Synaptic organizations and dynamical properties of weakly connected neural oscillators. II. Learning phase information by Hoppensteadt, F C, Izhikevich, E M

    Published in Biological cybernetics (01-08-1996)
    “…This is the second of two articles devoted to analyzing the relationship between synaptic organizations (anatomy) and dynamical properties (function) of…”
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    Phase locking of biological clocks by Hoppensteadt, F C, Keener, J P

    Published in Journal of mathematical biology (01-01-1982)
    “…Radial isochron clocks (RICs) and their response to external signals and coupling with other RICs are studied. RICs are derived as phase approximations to…”
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    Periodic Solutions of a Logistic Difference Equation by Hoppensteadt, F. C., Hyman, J. M.

    Published in SIAM journal on applied mathematics (01-01-1977)
    “…Periodic solutions of the difference equation xn + 1= mxn(1 - xn) are studied for values of m, 0 ≤ m ≤ 4. It is shown that as m increases from zero, solutions…”
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