Results 31 to 40 of about 1,158,048 (134)
Continuation of Periodic Solutions in Conservative Systems Leveraging the First Integral of Motion
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Dynamical systems are often analysed with respect to a system parameter, for which numerical continuation methods are typically used. In most cases, dissipative systems are considered. Here, the continuation of periodic solutions requires the existence of an explicit parameter that can be varied during the continuation process.
Julian Vogelei +2 more
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
Sharp Upper Bound for Amplitudes of Finite‐Gap Solutions of the Modified Korteweg‐de Vries Equation
Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.ABSTRACT A sharp upper bound is established for the amplitudes of finite‐gap solutions of the focusing modified Korteweg–de Vries equation. The proof shows that the optimization can be carried out entirely within the finite‐dimensional hierarchy, without explicit integration of the finite‐gap solution. The maximal amplitude is expressed in terms of the
Otis C. Wright III
wiley +1 more source
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
Heteroclinic orbits between rotating waves in hyperbolic balance laws
, 1999 We deal with the large-time behaviour of scalar hyperbolic conservation laws with source terms which are often called hyperbolic balance laws. Fan and Hale have proved existence of a global attractor A 0 for this equation with x ∈ S 1 .
Jörg Härterich
core +2 more sources
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
Various Heteroclinic Solutions for the Coupled Schrödinger-Boussinesq Equation [PDF]
, 2013 Various closed-form heteroclinic breather solutions including classical heteroclinic, heteroclinic breather and Akhmediev breathers solutions for coupled Schrödinger-Boussinesq equation are obtained using two-soliton and homoclinic test methods ...
Murong Jiang, Zhengde Dai
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Heteroclinic cycles in lattice dynamical systems
, 1998 A criterion of spatial chaos occurring in lattice dynamical systems-heteroclinic cycle-is discussed. It is proved that if the system has asymptotically stable heteroclinic cycle, then it has asymptotically stable homoclinic point which implies spatial ...
秦文新 +2 more
core +1 more source
Reconfiguring smart structures using approximate heteroclinic connections [PDF]
, 2015 A new method is investigated to reconfigure smart structures using the technique of polynomial series to approximate a true heteroclinic connection between unstable equilibria in a smart structure model. We explore the use of polynomials of varying order
McInnes, Colin R, Zhang, Jiaying
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