Results 31 to 40 of about 328 (171)
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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MISS: A Streamlined Method for an Interactive Simulation of Spinning Tops
Computer Animation and Virtual Worlds, Volume 37, Issue 4, July/August 2026.A streamlined simulation method for spinning top dynamics. The proposed framework accurately reproduces the behavior of five representative spinning tops, including the first successful simulation of the Gömböc's mono‐monostatic self‐righting behaviour, and enables real‐time web‐based simulation.
Ronja Schnur, Elmar Schömer
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HETEROCLINIC ORBITS ARISING FROM COUPLED CHUA'S CIRCUITS [PDF]
International Journal of Bifurcation and Chaos, 2003 In this paper, we study the existence of heteroclinic orbits for ordinary differential equations which arise from a one-dimensional array of Chua's circuits. By using the upper and lower solutions method, and a zero-order approximation we show that for a certain set of parameters there exist traveling wave solutions for some given wave speeds.
Whei-Ching C. Chan, Shaoyun Shi
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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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On a codimension $2$ bifurcation of heteroclinic orbits
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1987 The author proves under certain conditions the existence of a heteroclinic orbit for the perturbed equation if such heteroclinic orbit exists for the unperturbed equation. From the text: We consider a bifurcation problem of heteroclinic orbits for a family of ODEs on \(\mathbb R^n\).
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Analysis of Tangential Nonlinear Vibration on Machine Hydrostatic Slide
Shock and Vibration, 2019 In this paper, the nonlinear dynamic responses of the hydrostatic slide were investigated and the effects of damping and external force to control the vibration system were discussed.
Zhongkui Zhang +3 more
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A general framework for invasion cycles in ecology
Ecology, Volume 107, Issue 4, April 2026.Abstract Theory predicts that indirect interactions in ecological networks sustain species diversity through oscillatory dynamics. However, a framework linking interaction structure to the presence, type, and complexity of these cycles is lacking. Here, we develop an analytical toolbox combining invasion graphs with a mathematical decomposition of ...
Violeta Calleja‐Solanas +5 more
wiley +1 more source
Numerical computation of heteroclinic orbits
Journal of Computational and Applied Mathematics, 1989 This paper develops a numerical solution to certain problems involving heteroclinic orbits which are orbits of a system of ordinary differential equations with fixed points. The paper is restricted to orbits connecting two saddle points and the system of equations considered together with the subsidiary equations contains 8 scalar variables which ...
Doedel, Eusebius J., Friedman, Mark J.
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Exploring the Influence of Oblateness on Asymptotic Orbits in the Hill Three-Body Problem
AppliedMathWe examine the modified Hill three-body problem by incorporating the oblateness of the primary body and focus on its asymptotic orbits. Specifically, we analyze and characterize homoclinic and heteroclinic connections associated with the collinear ...
Vassilis S. Kalantonis
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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 +2 more
wiley +1 more source