Results 31 to 40 of about 3,779 (211)
Building modern coexistence theory from the ground up: The role of community assembly
Ecology Letters, Volume 26, Issue 11, Page 1840-1861, November 2023., 2023 Modern coexistence theory (MCT) is limited by its dependence on the naive invasion growth rate criterion. We extend the applicability of MCT by using permanence theory. We use this newly developed method to gain new insights into community coexistence and its limits.
Jurg W. Spaak, Sebastian J. Schreiber
wiley +1 more source
Quasiperiodic, periodic, and slowing-down states of coupled heteroclinic cycles [PDF]
, 2012 We investigate two coupled oscillators, each of which shows an attracting heteroclinic cycle in the absence of coupling. The two heteroclinic cycles are nonidentical. Weak coupling can lead to the elimination of the slowing-down state that asymptotically
Cross, M. C. +3 more
core +1 more source
Beltrami fields and knotted vortex structures in incompressible fluid flows
Bulletin of the London Mathematical Society, Volume 55, Issue 3, Page 1059-1103, June 2023., 2023 Abstract This paper gives a survey on recent results about the existence of knotted vortex structures in incompressible fluids. This includes the proof of Lord Kelvin's conjecture on the existence of knotted vortex tubes in steady Euler flows and a new probabilistic approach to address Arnold's speculation that typical Beltrami fields should exhibit ...
Alberto Enciso, Daniel Peralta‐Salas
wiley +1 more source
Chaos criteria and chaotification schemes on a class of first-order partial difference equations
Mathematical Biosciences and Engineering, 2023 This article is involved in chaos criteria and chaotification schemes on one kind of first-order partial difference equations having non-periodic boundary conditions.
Zongcheng Li , Jin Li
doaj +1 more source
Global bifurcations close to symmetry [PDF]
, 2016 Heteroclinic cycles involving two saddle-foci, where the saddle-foci share both invariant manifolds, occur persistently in some symmetric differential equations on the 3-dimensional sphere.
Labouriau, Isabel S. +1 more
core +2 more sources
The structure of optimal solutions for harvesting a renewable resource
Natural Resource Modeling, Volume 36, Issue 1, February 2023., 2023 Abstract We consider the problem of optimal harvesting of a renewable resource whose dynamics are governed by logistic growth and whose payoff is proportional to the harvest. We consider both the case of a finite and an infinite time horizon and analyse the structure of the optimal solutions and their dependence on the parameters of the model.
Thorsten Upmann, Dmitry Gromov
wiley +1 more source
The Chaotic Property of BTA Deep‐Hole Machining System under the Effect of Inner Cutting Fluid
Shock and Vibration, Volume 2023, Issue 1, 2023., 2023 To clarify the action mechanism of parameter change on system stability, the chaotic property of BTA deep‐hole machining system under the effect of inner cutting fluid was analyzed. According to the kinematic characteristics of the internal cutting fluid and the equation of the moment of momentum of the system, the kinematic equation of the boring bar ...
Quanbin Zhang +4 more
wiley +1 more source
Mathematical Biosciences and Engineering, 2015 In this paper, we analyze a general predator-prey modelwith state feedback impulsive harvesting strategies in which the prey species displays a strongAllee effect.
Qizhen Xiao, Binxiang Dai
doaj +1 more source
Almost complete and equable heteroclinic networks [PDF]
, 2019 Heteroclinic connections are trajectories that link invariant sets for an autonomous dynamical flow: these connections can robustly form networks between equilibria, for systems with flow-invariant spaces.
Ashwin, Peter +2 more
core +2 more sources
Destabilization by noise of tranverse perturbations to heteroclinic cycles: a simple model and an example from dynamo theory [PDF]
, 1999 We show that transverse perturbations from structurally stable heteroclinic cycles can be destabilized by surprisingly small amounts of noise, even when each individual fixed point of the cycle is stable to transverse modes. A condition that favours this
Gog, J.R. +3 more
core +1 more source