Mathematics and Statistics: Recent submissions
Now showing items 16-20 of 2075
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Mechanisms and functions of multiciliary coordination
(Elsevier, 30 November 2023)Ciliated organisms are present in virtually every branch of the eukaryotic tree of life. In diverse systems, cilia operate in a coordinated manner to drive fluid flows, or even propel entire organisms. How do groups of ... -
Bioelectric control of locomotor gaits in the walking ciliate Euplotes
(Cell Press, 17 January 2024)Diverse animal species exhibit highly stereotyped behavioral actions and locomotor sequences as they explore their natural environments. In many such cases, the neural basis of behavior is well established, where dedicated ... -
Internal noise interference to warnings of tipping points in generic multi-dimensional dynamical systems
(Society for Industrial and Applied Mathematics, 2024)A deterministic dynamical system that slowly passes through a generic fold-type (saddle-node) bifurcation can be reduced to one-dimensional dynamics close to the bifurcation because of the centre manifold theorem. It is ... -
Doubly intermittent maps with critical points, unbounded derivatives and regularly varying tail
(American Institute of Mathematical Sciences (AIMS), 16 July 2024)We consider a class of interval maps with up to two indifferent fixed points, an unbounded derivative, and regularly varying tails. Under some mild assumptions, we prove the existence of a unique mixing absolutely continuous ... -
Contrasting chaotic and stochastic forcing: tipping windows and attractor crises
(Society for Industrial and Applied Mathematics, 2024)Nonlinear dynamical systems subjected to a combination of noise and time varying forcing can exhibit sudden changes, critical transitions, or tipping points, where large or rapid dynamic effects arise from changes in a ...