Results 81 to 90 of about 8,177 (202)
Mathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 2194-2223, 30 January 2025.The impact of predator‐driven fear on ecosystems is significant and can encompass both trophic (direct) and nontrophic (indirect) effects. Previous studies have shown that nontrophic fear effects have an important role in predator–prey dynamics. This study investigates the nontrophic fear effect on prey caused by generalist predators and explores ...
Anuj Kumar Umrao +2 more
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Bifurcations of Nontwisted Heteroclinic Loop with Resonant Eigenvalues
The Scientific World Journal, 2014 By using the foundational solutions of the linear variational equation of the unperturbed system along the heteroclinic orbits to establish the local coordinate systems in the small tubular neighborhoods of the heteroclinic orbits, we study the ...
Yinlai Jin +5 more
doaj +1 more source
Blue Sky Catastrophe in Systems with Non-classical Relaxation Oscillations
Моделирование и анализ информационных систем, 2015 The feasibility of a known blue-sky bifurcation in a class of three-dimensional singularly perturbed systems of ordinary differential equations with one fast and two slow variables is studied.
S. D. Glyzin +2 more
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Resonance bifurcations from robust homoclinic cycles
, 2009 We present two calculations for a class of robust homoclinic cycles with symmetry Z_n x Z_2^n, for which the sufficient conditions for asymptotic stability given by Krupa and Melbourne are not optimal.
Aguiar M Ashwin P Dias A Field M +10 more
core +2 more sources
Hopf-homoclinic Bifurcations and Heterodimensional Cycles
Tokyo Journal of Mathematics, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
Population dynamics in a Leslie–Gower predator–prey model with predator harvesting at high densities
Mathematical Methods in the Applied Sciences, Volume 48, Issue 1, Page 804-838, 15 January 2025.In this paper, we propose a Leslie–Gower predator–prey model in which the predator can only be captured when its population size exceeds a critical value; the mean growth rate of the prey in the absence of the predator is subject to a semi‐saturation rate that affects its birth curve, and the interaction between the two species is defined by a Holling ...
Christian Cortés García
wiley +1 more source
IET Generation, Transmission &Distribution, Volume 19, Issue 1, January/December 2025.1. The reactive current injection system has infinite saddle points, and for every saddle point, there are two special lines (the blue lines in Figure 2). When the initial states are situated on the special lines, the final states of the reactive current injection will converge to the saddle points. 2.
Shuaishuai Lv +7 more
wiley +1 more source
Codimension-two bifurcation analysis and chaos synchronization of a quarter-car vehicle model
Advances in Mechanical Engineering, 2018 In this study, codimension-two bifurcation analysis was used in conjunction with a novel control method to mediate chaos in a semi-active suspension system based on a quarter-car model with excitation introduced by the road surface profile.
Shun-Chang Chang, Jui-Feng Hu
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Homoclinic bifurcations in Chua's circuit [PDF]
Physica A: Statistical Mechanics and its Applications, 1999 Abstract In this paper we study the possible relationship between the Birth of the Double Scroll [L.O. Chua et al., IEEE-CAS 33(11) (1986) 1073] and the homoclinic bifurcations in the traditional Chua's equations. Using a one-dimensional Poincare map we determine the existence of secondary symmetric homoclinic orbits of Shil'nikov type, born with the
Sandra Kahan, Anibal C. Sicardi-Schifino
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Complexity, Volume 2025, Issue 1, 2025.The aim of this work is to study the alumina–tantalum/motor oil hybrid nanoliquid flow in a porous cavity subjected to a uniform magnetic field. We have used the Darcy–Bénard convection model for the momentum equation and a new local thermal nonequilibrium formulation for heat transport.
Sèmako Justin Dèdèwanou +9 more
wiley +1 more source