Results 41 to 50 of about 1,118,392 (164)

Higher‐Order Interactions Can Promote Coexistence by Rewiring Intransitivities Into Competitive Networks

Ecology Letters, Volume 29, Issue 7, July 2026.
We integrate natural history and theory to show how higher‐order interactions (HOIs) can restructure competitive networks and influence coexistence in a tropical ant community. The HOI from a parasitoid of the dominant ant species forces the community to move between two dominance regimes, and the interregnum between regimes has multiple interacting ...
Zachary Hajian‐Forooshani, Ivette Perfecto, Warren Irizarry, John Vandermeer   +3 more
wiley   +1 more source

The feasibility principle in community ecology

Oikos, Volume 2026, Issue 6, June 2026.
The structure and function of ecological communities emerge from interactions among populations within specific environmental contexts. Yet we still lack general principles that explain how communities assemble, which patterns we should expect, and when transitions occur across diverse settings.
Serguei Saavedra
wiley   +1 more source

Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics [PDF]

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2000
In this paper we apply dynamical systems techniques to the problem of heteroclinic connections and resonance transitions in the planar circular restricted three-body problem. These related phenomena have been of concern for some time in topics such as the capture of comets and asteroids and with the design of trajectories for space missions such as the
Koon, Wang Sang, Lo, Martin W., Marsden, Jerrold E., Ross, Shane D.   +3 more
openaire   +4 more sources

Existence and Spectral Stability Analysis of Viscous‐Dispersive Shock Profiles for Isentropic Compressible Fluids of Korteweg Type

Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT The system describing the dynamics of a compressible isentropic fluid exhibiting viscosity and internal capillarity in one space dimension and in Lagrangian coordinates, is considered. It is assumed that the viscosity and the capillarity coefficients are nonlinear smooth, positive functions of the specific volume, making the system the most ...
Raffaele Folino, Corrado Lattanzio, Ramón G. Plaza   +2 more
wiley   +1 more source

Multiple front and pulse solutions in spatially periodic systems

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
wiley   +1 more source

Dynamics of a New Four-Thirds-Degree Sub-Quadratic Lorenz-like System

Axioms
Aiming to explore the subtle connection between the number of nonlinear terms in Lorenz-like systems and hidden attractors, this paper introduces a new simple sub-quadratic four-thirds-degree Lorenz-like system, where x˙=a(y−x), y˙=cx−x3z, z˙=−bz+x3y ...
Guiyao Ke, Jun Pan, Feiyu Hu, Haijun Wang   +3 more
doaj   +1 more source

Summability of canard-heteroclinic saddle connections

Journal of Differential Equations, 2016
In this article Gevrey properties of analytic invariant curves of analytic slow-fast systems \[ \begin{aligned} \dot{x} & =\varepsilon x, \\ \dot{y} & = \varphi(x)y+\varepsilon H(x,y,\varepsilon) \end{aligned} \] with \(\varphi(0)
openaire   +3 more sources

The Numerical Computation of Heteroclinic Connections in Systems of Gradient Partial Differential Equations [PDF]

SIAM Journal on Applied Mathematics, 1993
Weakly nonlinear reaction-diffusion equations with gradient structure are considered, namely \(\partial u/\partial t = \partial^ 2u/\partial x^ 2 = \lambda f(u)\), \(x \in (0,1)\), \(t > 0\); \(u(0,t) = u(1,t) = 0\), \(t > 0\); \(u(x,0) = u_ 0(x)\), \(x \in [0,1]\), where the nonlinearity \(f(u)\) is an odd polynomial in \(u\) (Cahn-Hilliard equations).
Bai, Fengshan, Spence, Alastair, Stuart, Andrew M.   +2 more
openaire   +3 more sources

Classification of heteroclinic orbits of semilinear parabolic equations with a polynomial nonlinearity

Electronic Journal of Differential Equations, 2011
For a given semilinear parabolic equation with polynomial nonlinearity, many solutions blow up in finite time. For a certain class of these equations, we show that some of the solutions which do not blow up actually tend to equilibria.
Michael Robinson
doaj  

Maxwell Fronts in the Discrete Nonlinear Schrödinger Equations With Competing Nonlinearities

Studies in Applied Mathematics, Volume 156, Issue 2, February 2026.
ABSTRACT In discrete nonlinear systems, the study of nonlinear waves has revealed intriguing phenomena in various fields such as nonlinear optics, biophysics, and condensed matter physics. Discrete nonlinear Schrödinger (DNLS) equations are often employed to model these dynamics, particularly in the context of Bose–Einstein condensates and optical ...
Farrell Theodore Adriano, Hadi Susanto
wiley   +1 more source