Results 51 to 60 of about 7,371 (144)
Journal of Applied Mathematics, 2014 Two predator-prey models with nonmonotonic functional response and state-dependent impulsive harvesting are formulated and analyzed. By using the geometry theory of semicontinuous dynamic system, we obtain the existence, uniqueness, and stability of the ...
Mingzhan Huang, Xinyu Song
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Моделирование и анализ информационных систем, 2015 We consider a finite-dimensional model of phase oscillators with inertia in the case of star configuration of coupling. The system of equations is reduced to a nonlinearly coupled system of pendulum equations.
V. N. Belykh +2 more
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Vibration of the Duffing Oscillator: Effect of Fractional Damping
Shock and Vibration, 2007 We have applied the Melnikov criterion to examine a global homoclinic bifurcation and transition to chaos in a case of the Duffing system with nonlinear fractional damping and external excitation.
Marek Borowiec +2 more
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Bifurcation analysis of a wild and sterile mosquito model
Mathematical Biosciences and Engineering, 2019 The bifurcation of an ordinary differential equation model describing interaction of the wild and the released sterile mosquitoes is analyzed.
Xiaoli Wang, Junping Shi, Guohong Zhang
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Frequency spanning homoclinic families
, 2003 A family of maps or flows depending on a parameter $\nu$ which varies in an interval, spans a certain property if along the interval this property depends continuously on the parameter and achieves some asymptotic values along it. We consider families of
Arnold +21 more
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Quantitative Biology, Volume 13, Issue 3, September 2025.Abstract Critical transitions and tipping phenomena between two meta‐stable states in stochastic dynamical systems are a scientific issue. In this work, we expand the methodology of identifying the most probable transition pathway between two meta‐stable states with Onsager–Machlup action functional, to investigate the evolutionary transition dynamics ...
Peng Zhang +3 more
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Spiral attractors as the root of a new type of "bursting activity" in the Rosenzweig-MacArthur model
, 2018 We study the peculiarities of spiral attractors in the Rosenzweig-MacArthur model, that describes dynamics in a food chain "prey-predator-superpredator".
Bakhanova, Yu. V. +4 more
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Complexity, 2020 In this paper, mathematical models for the management of biological resources based on a given predator-prey relationship are proposed, and two types of control strategies, unilateral and bilateral control with impulsive state feedback, are studied.
Mingzhan Huang +3 more
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Resonance bifurcation from homoclinic cycles
Journal of Differential Equations, 2009 Differential equations that are equivariant under the action of a finite group can possess robust homoclinic cycles that can moreover be asymptotically stable. For differential equations in R-4 there exists a classification of different robust homoclinic cycles for which moreover eigenvalue conditions for asymptotic stability are known.
Driesse, R., Homburg, A.J.
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 4, Page 5039-5063, 15 March 2025.This article presents an analytical investigation performed on a generalized geophysical Korteweg–de Vries model with nonlinear power law in ocean science. To start with, achieving diverse solitary wave solutions to the generalized power‐law model involves using wave transformation, which reduces the model to a nonlinear ordinary differential equation.
Oke Davies Adeyemo
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