Results 41 to 50 of about 633,095 (156)
Self-Induced Switchings between Multiple Space-Time Patterns on Complex Networks of Excitable Units
Physical Review X, 2016 We report on self-induced switchings between multiple distinct space-time patterns in the dynamics of a spatially extended excitable system. These switchings between low-amplitude oscillations, nonlinear waves, and extreme events strongly resemble a ...
Gerrit Ansmann +2 more
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NMS Flows on S 3 with no Heteroclinic Trajectories Connecting Saddle Orbits [PDF]
Journal of Dynamics and Differential Equations, 2012 By investigating the 3-manifold obtained from iterated connected sums of tori, the authors characterize the nonsingular Morse-Smale system (NMS) links of periodic orbits on \(S^3\) associated to round 1-handles. They obtain a correspondence between flows characterized by the links and the NMS flows on \(S^3\) that are connected sums of flows. They show
Vindel, Pura, Campos, Beatriz
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Metric methods for heteroclinic connections in infinite dimensional spaces [PDF]
Indiana University Mathematics Journal, 2020 We consider the minimal action problem min \int\_R 1/2 |$γ$'|^2 + W($γ$) dt among curves lying in a non-locally-compact metric space and connecting two given zeros of W $\ge$ 0. For this problem, the optimal curves are usually called heteroclinic connections.
Monteil, Antonin, Santambrogio, Filippo
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Communications on Pure and Applied Mathematics, Volume 79, Issue 9, Page 2107-2157, September 2026.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
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Invariant manifolds and orbit control in the solar sail three-body problem [PDF]
, 2008 In this paper we consider issues regarding the control and orbit transfer of solar sails in the circular restricted Earth-Sun system. Fixed points for solar sails in this system have the linear dynamical properties of saddles crossed with centers; thus ...
Waters, Thomas J., McInnes, Colin R.
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Heteroclinic Solutions for Classical and Singular ϕ-Laplacian Non-Autonomous Differential Equations
Axioms, 2019 In this paper, we consider the second order discontinuous differential equation in the real line, a t , u ϕ u ′ ′ = f t , u , u ′ , a . e . t ∈ R , u ( − ∞ ) = ν − , u ( + ∞ )
Feliz Minhós
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Symmetric Heteroclinic Connections in the Michelson System: A Computer Assisted Proof [PDF]
SIAM Journal on Applied Dynamical Systems, 2005 The author presents a new method for detecting symmetric homoclinic and heteroclinic solutions in systems possessing the reversing symmetry property. The approach is based on the modification of Zgliczyński's covering relations method. It should be emphasized that this new method can be applied also to the case of heteroclinic orbits between objects of
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KPP Dynamics in Predator–Prey Models: A Survey and a Mussel–Algae Case Study
Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.ABSTRACT We discuss traveling fronts in several coupled reaction–diffusion systems that model predator–prey interactions, as well as other systems that share similar structural features. We review some cases where the traveling fronts exist and are small perturbations of fronts in certain scalar equations of Fisher–KPP or Burgers–FKPP type.
Anna Ghazaryan, Vahagn Manukian
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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 +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
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