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of 5 104
pro vyhledávání: '"SIMPSON, P J"'
Autor:
Simpson, David J. W.
The border-collision normal form is a piecewise-linear family of continuous maps that describe the dynamics near border-collision bifurcations. Most prior studies assume each piece of the normal form is invertible, as is generic from an abstract view
Externí odkaz:
http://arxiv.org/abs/2408.04790
Autor:
Glendinning, P. A., Simpson, D. J. W.
The border-collision normal form describes the local dynamics in continuous systems with switches when a fixed point intersects a switching surface. For one-dimensional cases where the bifurcation creates or destroys only fixed points and period-two
Externí odkaz:
http://arxiv.org/abs/2407.16865
Autor:
Warne, David J., Crossman, Kerryn, Heron, Grace E. M., Sharp, Jesse A., Jin, Wang, Wu, Paul Pao-Yen, Simpson, Matthew J., Mengersen, Kerrie, Ortiz, Juan-Carlos
Coral reefs are increasingly subjected to major disturbances threatening the health of marine ecosystems. Substantial research underway to develop intervention strategies that assist reefs in recovery from, and resistance to, inevitable future climat
Externí odkaz:
http://arxiv.org/abs/2406.19591
We propose a simple mathematical model to describe the mechanical relaxation of cells within a curved epithelial tissue layer represented by an arbitrary curve in two-dimensional space. The model represents the mechanics of the cell body either by st
Externí odkaz:
http://arxiv.org/abs/2406.19197
In vitro cell biology experiments are routinely used to characterize cell migration properties under various experimental conditions. These experiments can be interpreted using lattice-based random walk models to provide insight into underlying biolo
Externí odkaz:
http://arxiv.org/abs/2406.16296
Autor:
Razumtcev, Aleksandr, Turner, Gwendylan A., Zayats, Sergey, Borondics, Ferenc, Polyzos, Aris, Simpson, Garth J., Bechtel, Hans A.
Optical photothermal microscopy is a powerful, emerging method that overcomes the diffraction limit in infrared hyperspectral imaging by utilizing a visible probe laser beam to detect local temperature-induced modulation at the visible diffraction li
Externí odkaz:
http://arxiv.org/abs/2406.14689
Autor:
Simpson, D. J. W.
A nonsmooth fold is where an equilibrium or limit cycle of a nonsmooth dynamical system hits a switching manifold and collides and annihilates with another solution of the same type. We show that beyond the bifurcation the leading-order truncation to
Externí odkaz:
http://arxiv.org/abs/2406.04587
Autor:
Simpson, Matthew J, Baker, Ruth E
Interpreting data with mathematical models is an important aspect of real-world applied mathematical modeling. Very often we are interested to understand the extent to which a particular data set informs and constrains model parameters. This question
Externí odkaz:
http://arxiv.org/abs/2405.08177
A combined radar remote sensing and in situ data set is used to track packets of nonlinear internal waves as they propagate and shoal across the inner shelf (40m - 9m). The dataset consists of high space-time resolution (5m, 2min) radar image time se
Externí odkaz:
http://arxiv.org/abs/2404.18218
Sigmoid growth models are often used to study population dynamics. The size of a population at equilibrium commonly depends explicitly on the availability of resources, such as an energy or nutrient source, which is not explicit in standard sigmoid g
Externí odkaz:
http://arxiv.org/abs/2403.15002