Results 71 to 80 of about 9,394 (211)
Journal of Mathematics, Volume 2026, Issue 1, 2026.This study investigates the complex dynamics of a predator–prey system governed by the classical Lotka–Volterra model incorporating a Holling‐type III. To capture environmental variability, the prey’s carrying capacity is modeled as a periodic function, introducing a time‐dependent forcing into the system.
Ali Sarrah +4 more
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Homoclinic Orbits for First Order Hamiltonian Systems
Journal of Mathematical Analysis and Applications, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ding, Y.H., Li, S.J.
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Bifurcation Analysis of Nonlinear Oscillations in the Electrical Activity of Pancreatic β‐Cells
Proceedings in Applied Mathematics and Mechanics, Volume 25, Issue 4, December 2025.ABSTRACT Cell biological systems are characterized by complex relationships and nonlinear processes. The modeling of these processes improves the understanding, and represents a significant enrichment of the experimental investigation. An example of such a system is the regulation of blood glucose concentration by pancreatic β$\beta$‐cells through the ...
Paula Clasen +2 more
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On the so called rogue waves in nonlinear Schrodinger equations
Electronic Journal of Differential Equations, 2016 The mechanism of a rogue water wave is still unknown. One popular conjecture is that the Peregrine wave solution of the nonlinear Schrodinger equation (NLS) provides a mechanism. A Peregrine wave solution can be obtained by taking the infinite spatial
Y. Charles Li
doaj
Homoclinic orbits in 3D dissipative systems [PDF]
Scientific Technical Review, 2014 The paper deals with a variational system corresponding to a three-dimensional dynamic system. The characteristic equation of the variational system depends on partial solutions. The matrix of the right-hand part of the variational system is a sum of two
Martynyuk Andreevich Anatoly +1 more
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Multi-pulse Orbits and Homoclinic Trees in a Non-autonomous Resonant Hamiltonian System
MATEC Web of Conferences, 2016 In this study, we develop the energy-phase method to deal with the high-dimensional non-autonomous nonlinear dynamical systems. Our generalized energy-phase method applies to integrable, two-degree-of freedom non-autonomous resonant Hamiltonian systems ...
Zhou Sha, Zhang Wei, Yu Tian-jun
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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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Degenerate Periodic Orbits and Homoclinic Torus Bifurcation
Physical Review Letters, 2005 A one-parameter family of periodic orbits with frequency omega and energy E of an autonomous Hamiltonian system is degenerate when E'(omega) = 0. In this paper, new features of the nonlinear bifurcation near this degeneracy are identified. A new normal form is found where the coefficient of the nonlinear term is determined by the curvature of the ...
Bridges, T J, Donaldson, N M
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HOMOCLINIC ORBITS OF NONPERIODIC SUPERQUADRATIC HAMILTONIAN SYSTEM [PDF]
Taiwanese Journal of Mathematics, 2009 The authors consider the Hamiltonian system \[ \dot{u} = JH_u(t,u) \] where \[ H(t,u) = {{1}\over{2}}u^*Lu + W(t,u) \] and \(L\) is symmetric constant and \(W(t,u)\) is subject to some technical assumptions connected to super quadratic character. The main result of the paper is that under the assumptions mentioned above the system has at least one ...
Zhang, Jian, Tang, Xianhua, Zhang, Wen
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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
wiley +1 more source