Results 71 to 80 of about 16,375 (207)
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
wiley +1 more source
Random Wandering Around Homoclinic-like Manifolds in Symplectic Map Chain
, 2001 We present a method to construct a symplecticity preserving renormalization group map of a chain of weakly nonlinear symplectic maps and obtain a general reduced symplectic map describing its long-time behaviour.
Goto, Shin-itiro +2 more
core +2 more sources
Invariant manifolds of homoclinic orbits: super-homoclinics and multi-pulse homoclinic loops
, 2020 Consider a Hamiltonian flow on R4 with a hyperbolic equilibrium O and a transverse homoclinic orbit Γ. In this thesis, we study the dynamics near Γ in its energy level when it leaves and enters O along strong unstable and strong stable directions, respectively. In particular, we provide necessary and sufficient conditions for the existence of the local
openaire +3 more sources
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
wiley +1 more source
Synchronization of "Hopf/homoclinic" bursting with "SubHopf/homoclinic" bursting
Acta Physica Sinica, 2013 Taking the modified Morris-Lecar neuron model for example, we consider the synchronous behaviour between "Hopf/homoclinic" bursting and "SubHopf/homoclinic" bursting. Firstly, the synchronization between two coupled bursting neurons with the same topological type is investigated numerically, and the results show that the coupling strength reaching the ...
null Wang Fu-Xia, null Xie Yong
openaire +1 more source
Useful Public Spending, Taylor Principle, and Macroeconomic Instability
Journal of Public Economic Theory, Volume 27, Issue 5, October 2025.ABSTRACT This paper analyzes the stationary welfare and local stability implication of useful public spending in a discrete‐time one‐sector monetary economy with Taylor rule. Public spending, financed through a flat income tax, is useful and exerts externalities on production. In our economy, money is needed for transaction purposes.
Antoine Le Riche
wiley +1 more source
Homoclinic Solutions for a Second-Order Nonperiodic Asymptotically Linear Hamiltonian Systems
Abstract and Applied Analysis, 2013 We establish a new existence result on homoclinic solutions for a second-order nonperiodic Hamiltonian systems. This homoclinic solution is obtained as a limit of solutions of a certain sequence of nil-boundary value problems which are obtained by the ...
Qiang Zheng
doaj +1 more source
Bifurcation diagrams for singularly perturbed system
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We consider a singularly perturbed system where the fast dynamic of the unperturbed problem exhibits a trajectory homoclinic to a critical point.
Matteo Franca
doaj +1 more source
On stochastic sea of the standard map
, 2010 Consider a generic one-parameter unfolding of a homoclinic tangency of an area preserving surface diffeomorphism. We show that for many parameters (residual subset in an open set approaching the critical value) the corresponding diffeomorphism has a ...
A. Gorodetski +53 more
core +1 more source
Perturbed Li–Yorke homoclinic chaos
Electronic Journal of Qualitative Theory of Differential Equations, 2018 Summary: It is rigorously proved that a Li-Yorke chaotic perturbation of a system with a homoclinic orbit creates chaos along each periodic trajectory. The structure of the chaos is investigated, and the existence of infinitely many almost periodic orbits out of the scrambled sets is revealed.
Marat Akhmet +3 more
openaire +4 more sources