Jack D. Tyler

ORCID: 0000-0002-0979-7533
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About
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Research Areas
  • Rangeland and Wildlife Management
  • Archaeology and Natural History
  • Wildlife Ecology and Conservation
  • Species Distribution and Climate Change
  • Botany, Ecology, and Taxonomy Studies
  • Avian ecology and behavior
  • Fish Ecology and Management Studies
  • Animal Ecology and Behavior Studies
  • Ecology and biodiversity studies
  • Amphibian and Reptile Biology
  • Fire effects on ecosystems
  • Plant and animal studies
  • Lepidoptera: Biology and Taxonomy
  • Ecology and Vegetation Dynamics Studies
  • Bat Biology and Ecology Studies
  • Numerical methods for differential equations
  • Environmental DNA in Biodiversity Studies
  • Rabies epidemiology and control
  • Yersinia bacterium, plague, ectoparasites research
  • Fish Biology and Ecology Studies
  • Marine and fisheries research
  • Spacecraft Dynamics and Control
  • Turtle Biology and Conservation
  • Hemiptera Insect Studies
  • Oil Spill Detection and Mitigation

University of Southampton
2021-2022

In dynamical systems, it is advantageous to identify regions of flow which can exhibit maximal influence on nearby behaviour. Hyperbolic Lagrangian Coherent Structures have been introduced obtain two-dimensional surfaces maximise repulsion or attraction in three-dimensional systems with arbitrary time-dependence. However, the numerical method compute them requires obtaining derivatives associated system, often performed through approximation divided differences, lead significant error and...

10.1016/j.jocs.2022.101883 article EN cc-by Journal of Computational Science 2022-10-23

10.2307/3670483 article EN The Southwestern Naturalist 1977-03-01

In dynamical systems, it is advantageous to identify regions of flow which can exhibit maximal influence on nearby behaviour. Hyperbolic Lagrangian Coherent Structures have been introduced obtain two-dimensional surfaces maximise repulsion or attraction in three-dimensional systems with arbitrary time-dependence. However, the numerical method compute them requires obtaining derivatives associated system, often performed through approximation divided differences, lead significant error and...

10.48550/arxiv.2204.06236 preprint EN cc-by-nc-nd arXiv (Cornell University) 2022-01-01

In the preliminary design of space missions it can be useful to identify regions dynamics that drive system's behaviour or separate qualitatively different dynamics. The Lagrangian Coherent Structure (LCS) has been widely used in analysis dynamical systems, and generalises concept stable unstable manifolds systems with arbitrary time-dependence. However, use three-dimensional LCS astrodynamics thus far limited. This paper presents application a new numerical method introduced by authors,...

10.48550/arxiv.2209.11561 preprint EN cc-by arXiv (Cornell University) 2022-01-01
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