Results 71 to 80 of about 864 (203)
Boundary Value ProblemsBy using a direct non-Nehari manifold method from (Tang and Cheng in J. Differ. Equ. 261:2384–2402, 2016), we obtain an existence result of ground-state sign-changing homoclinic solutions that only changes sign once and ground-state homoclinic solutions ...
Xin Ou, Xingyong Zhang
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Kudryashov Expansion Method Applied to Fisher Mathematical Model
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.We obtain new computational soliton solutions characterized by topological, rational, exponential, trigonometric, and hyperbolic functions for the Fisher equation. Using a good strategy, the Kudryashov expansion method is used to find different dynamical wave structures of soliton solutions within the scope of evolutionary dynamical structures of ...
Elif Deniz Öztürk +3 more
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Homoclinic orbits for a class of Hamiltonian systems
Differential and Integral Equations, 1992 The Hamiltonian system under consideration is governed by equations of the form \[ \ddot q+V_ q(t,q)=\ddot q-L(t)q+W_ q(t,q)=0, \] where \(L(t)\) is a positive definite matrix and further technical conditions, among other things, ensure that the origin is a local maximum of \(V\) for all \(t\).
Omana, W., Willem, M.
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This study presents the dynamic analysis of stochastic fractional unstable nonlinear Schrödinger equation (SFuNLSE), focusing on the analysis of bifurcation, chaotic nature, return map, recurrence plots, strange attractor, basin attractor, power spectrum, chaotic nature and also finds the exact optical soliton solution with multiplicative noise ...
Md. Mamunur Roshid +3 more
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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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The ergodic shadowing property and homoclinic classes [PDF]
Journal of Inequalities and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Journal of Mathematics, Volume 2026, Issue 1, 2026.Bifurcation analysis constitutes a powerful tool for understanding transport flow phenomena arising from peristaltic motion in a curved heated endoscope. This approach is useful for assessing a peristaltic endoscope model in a curved tube. Bifurcation and dynamical analyses reveal heat transfer and entropy behavior at critical points.
Thoraya N. Alharthi, Qingkai Zhao
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Homoclinic classes for generic C^1 vector fields [PDF]
Ergodic Theory and Dynamical Systems, 2003 17 ...
Carballo, C. M. +2 more
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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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Multiple homoclinic solutions for a class of autonomous singular systems in $\bold R^2$R2.
, 1998 We look for homoclinic solutions for a class of second order autonomous Hamiltonian systems in R-2 with a potential V having a strict global maximum at the origin and a finite set S subset of R-2 of singularities, namely V(x) --> -infinity as dist(x,S) --
NOLASCO, MARGHERITA, CALDIROLI P
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