Results 71 to 80 of about 636 (179)

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, Lars de Jong, Michael Müller   +2 more
wiley   +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 class of second order non-autonomous systems

Electronic Journal of Differential Equations, 2009
This article concerns the existence of homoclinic solutions for the second order non-autonomous system $$ ddot q+A dot q-L(t)q+W_{q}(t,q)=0, $$ where $A$ is a skew-symmetric constant matrix, $L(t)$ is a symmetric positive definite matrix depending ...
Ziheng Zhang, Rong Yuan
doaj  

Saddle-node bifurcations of multiple homoclinic solutions in ODES

Discrete and Continuous Dynamical Systems - B, 2017
The authors study periodic perturbations of differential equations possessing a homoclinic orbit along which the tangent spaces of the corresponding stable and unstable manifolds intersect in a three-dimensional space. This paper can be seen as a continuation of the work ``Multiple transverse homoclinic solutions near a degenerate homoclinic orbit ...
Lin, Xiao-Biao, Zhu, Changrong
openaire   +1 more source

Homoclinic solutions of singular differential equations with $\phi$-Laplacian

Electronic Journal of Qualitative Theory of Differential Equations, 2018
A singular nonlinear initial value problem (IVP) with a $\phi$-Laplacian of the form $$ (p(t)\phi(u'(t)))'+ p(t)f(\phi(u(t)))=0, \quad u(0)=u_0 \in [L_0,0),\quad u'(0)=0 $$ is investigated on the half-line $[0,\infty)$.
Lukáš Rachůnek, Irena Rachůnková
doaj   +1 more source

On Shilnikov's scenario in 3D: Topological chaos for vectorfields of class $C^1$

Electronic Journal of Qualitative Theory of Differential Equations
Shilnikov's scenario in $\mathbb{R}^3$ means that the equation $x'=V(x)\in\mathbb{R}^3$ with $V(0)=0$ has a homoclinic solution and the eigenvalues of $DV(0)$ are $u>0$ and $\sigma\pm i\mu$ with ...
Hans-Otto Walther
doaj   +1 more source

Existence and multiplicity of homoclinic solutions for difference systems involving classical ( ϕ 1 , ϕ 2 ) $(\phi_{1},\phi_{2})$ -Laplacian and a parameter

Advances in Difference Equations, 2017
In this paper, we investigate the existence and multiplicity of homoclinic solutions for a class of nonlinear difference systems involving classical ( ϕ 1 , ϕ 2 ) $(\phi_{1},\phi _{2})$ -Laplacian and a parameter: { Δ ( ρ 1 ( n − 1 ) ϕ 1 ( Δ u 1 ( n − 1 )
Xingyong Zhang, Chi Zong, Haiyun Deng, Liben Wang   +3 more
doaj   +1 more source

Existence of homoclinic solutions to periodic orbits in a center manifold

Journal of Differential Equations, 2004
The authors study a Hamiltonian system with Lagrangian \[ L(x,\dot{x},q,\dot{q})=\tfrac{1}{2}(\dot{x}^2 - x^2)+ \tfrac{1}{2}\dot{q}^2 + (1+\delta(x))V(q), \] where \(V\) is \(2\pi\)-periodic, nonnegative and \(V''(0)=0\) while \(\delta\) and \(\delta'\) satisfy some boundedness conditions.
COTI ZELATI V, MACRI', MARTA
openaire   +5 more sources

Homoclinic solutions for second-order Hamiltonian systems with periodic potential

Boundary Value Problems, 2018
In this paper, we study the second-order Hamiltonian systems u¨−L(t)u+∇W(t,u)=0,t∈R, $$ \ddot{u}-L(t)u+\nabla W(t,u)=0,\quad t\in \mathbb{R}, $$ where L∈C(R,RN×N) $L\in C(\mathbb{R},\mathbb{R}^{N\times N})$ is a T-periodic and positive definite matrix ...
Yiwei Ye
doaj   +1 more source

Homoclinic solutions for second-order nonlinear difference equations with Jacobi operators

Electronic Journal of Differential Equations, 2017
We obtain sufficient conditions for the existence of a nontrivial homoclinic solution to a second-order nonlinear difference equation with Jacobi operator. To do this, we use variational methods and critical point theory.
Fei Xia
doaj