Results 41 to 50 of about 16,168 (183)
Classification and stability of simple homoclinic cycles in R^5
, 2012 The paper presents a complete study of simple homoclinic cycles in R^5. We find all symmetry groups Gamma such that a Gamma-equivariant dynamical system in R^5 can possess a simple homoclinic cycle.
Brannath W +14 more
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Homoclinic points and moduli [PDF]
Ergodic Theory and Dynamical Systems, 1989 AbstractIn this paper we study some conjugacy invariants (moduli) for discrete two dimensional dynamical systems, with a homoclinic tangency. We show that the modulus obtained by Palis in the heteroclinic case also turns up in the case considered here. We also present two new conjugacy invariants.
openaire +2 more sources
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
Simultaneous Continuation of Infinitely Many Sinks Near a Quadratic Homoclinic Tangency
, 2008 We prove that the $C^3$ diffeomorphisms on surfaces, exhibiting infinitely many sinksnear the generic unfolding of a quadratic homoclinic tangency of a dissipative saddle, can be perturbed along an infinite dimensional manifold of $C^3$ diffeomorphisms ...
A. Gorodetski +17 more
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Bifocal homoclinic bifurcations [PDF]
Physica D: Nonlinear Phenomena, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Laing, Carlo, Glendinning, Paul
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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
wiley +1 more source
Variational and penalization methods for studying connecting orbits of Hamiltonian systems
Electronic Journal of Differential Equations, 2000 In this article, we consider a class of second order Hamiltonian systems that possess infinite or finite number of equilibria. Variational arguments will be used to study the existence of connecting orbits joining pairs of equilibria.
Chao-Nien Chen, Shyuh-yaur Tzeng
doaj
Chaos and shadowing around a homoclinic tube
Abstract and Applied Analysis, 2003 Let F be a C3 diffeomorphism on a Banach space B. F has a homoclinic tube asymptotic to an invariant manifold. Around the homoclinic tube, Bernoulli shift dynamics of submanifolds is established through a shadowing lemma. This work removes an uncheckable
Yanguang (Charles) Li
doaj +1 more source
Dynamics of a plant-herbivore model with a chemically-mediated numerical response
Mathematics in Applied Sciences and Engineering, 2021 A system of two ordinary differential equations is proposed to model chemically-mediated interactions between plants and herbivores by incorporating a toxin-modified numerical response.
Lin Wang, James Watmough, Fang Yu
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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