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Palaeontology, Volume 65, Issue 3, May/June 2022., 2022 Abstract Bite traces on fossil bones are key to deciphering feeding ecology and trophic interactions of vertebrate past ecosystems. However, similarities between traces produced by different carnivorous taxa with similar dentitions, and misidentifications due to equifinality, hinder confident identifications of the bite makers.
Eudald Mujal +5 more
wiley +1 more source
Bifurcations of global reinjection orbits near a saddle-node Hopf bifurcation [PDF]
, 2006 The saddle-node Hopf bifurcation (SNH) is a generic codimension-two bifurcation of equilibria of vector fields in dimension at least three. It has been identified as an organizing centre in numerous vector field models arising in applications.
Oldeman, BE +3 more
core +1 more source
Towards global models near homoclinic tangencies of dissipative diffeomorphisms [PDF]
, 1998 A representative model of a return map near homoclinic bifurcation is studied. This model is the so-called fattened Arnold map, a diffeomorphism of the annulus. The dynamics is extremely rich, involving periodicity, quasiperiodicity and chaos. The method
Broer, H; id_orcid +6 more
core +2 more sources
Bifurcation analysis in a diffusive phytoplankton–zooplankton model with harvesting
Boundary Value Problems, 2021 A diffusive phytoplankton–zooplankton model with nonlinear harvesting is considered in this paper. Firstly, using the harvesting as the parameter, we get the existence and stability of the positive steady state, and also investigate the existence of ...
Yong Wang
doaj +1 more source
Bifurcations of a Ratio-Dependent Holling-Tanner System with Refuge and Constant Harvesting
Abstract and Applied Analysis, 2013 The bifurcation properties of a predator prey system with refuge and constant harvesting are investigated. The number of the equilibria and the properties of the system will change due to refuge and harvesting, which leads to the occurrence of several ...
Xia Liu, Yepeng Xing
doaj +1 more source
Dynamics of a Leslie-Gower predator-prey system with cross-diffusion
Electronic Journal of Qualitative Theory of Differential Equations, 2020 A Leslie–Gower predator–prey system with cross-diffusion subject to Neumann boundary conditions is considered. The global existence and boundedness of solutions are shown.
Rong Zou, Shangjiang Guo
doaj +1 more source
Analytic invariants associated with a parabolic fixed point in C2 [PDF]
, 2008 It is well known that in a small neighbourhood of a parabolic fixed point a real-analytic diffeomorphism of (R2,0) embeds in a smooth autonomous flow.
Naudot, V., Gelfreich, Vassili
core +1 more source
Chaos in the Takens-Bogdanov bifurcation with O(2) symmetry [PDF]
, 2017 The Takens–Bogdanov bifurcation is a codimension two bifurcation that provides a key to the presence of complex dynamics in many systems of physical interest. When the system is translation invariant in one spatial dimension with no left-right preference
A. M. Rucklidge +3 more
core +1 more source
A proof of Perko's conjectures for the Bogdanov-Takens system [PDF]
, 2013 The Bogdanov-Takens system has at most one limit cycle and, in the parameter space, it exists between a Hopf and a saddle-loop bifurcation curves. The aim of this paper is to prove the Perko's conjectures about some analytic properties of the saddle-loop
Gasull, Armengol, Torregrosa, Joan
core +4 more sources
Improved homoclinic predictor for Bogdanov-Takens bifurcation [PDF]
, 2014 An improved homoclinic predictor at a generic codim 2 Bogdanov-Takens (BT) bifucation is derived. We use the classical ‘blow-up’ technique to reduce the canonical smooth normal form near a generic BT bifurcation to a perturbed Hamiltonian system.
Kuznetsov, Yu A +7 more
core +6 more sources