Results 61 to 70 of about 8,908 (255)
Homoclinic orbits and Lie rotated vector fields
International Journal of Mathematics and Mathematical Sciences, 2000 Based on the definition of Lie rotated vector fields in the plane, this paper gives the property of homoclinic orbit as parameter is changed and the singular points are fixed on Lie rotated vector fields.
Jie Wang, Chen Chen
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Spatial dynamics in the family of sixth-order differential equations from the theory of partial formation [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамикаTopic of the paper. Bounded stationary (i.e. independent in time) spatially one-dimensional solutions of a quasilinear parabolic PDE are studied on the whole real line.
Kulagin, Nikolaj Evgenevich +1 more
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Dynamical behavior of a parametrized family of one-dimensional maps
Electronic Journal of Qualitative Theory of Differential Equations, 2022 The connection of these maps to homoclinic loops acts like an amplifier of the map behavior, and makes it interesting also in the case where all map orbits approach zero (but in many possible ways).
Erkan Muştu
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A homoclinic tangle on the edge of shear turbulence
, 2011 Experiments and simulations lend mounting evidence for the edge state hypothesis on subcritical transition to turbulence, which asserts that simple states of fluid motion mediate between laminar and turbulent shear flow as their stable manifolds separate
Genta Kawahara +3 more
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Studies in Applied Mathematics, Volume 155, Issue 1, July 2025.ABSTRACT This work aims to study some dynamical aspects of the nonlinear logarithmic Schrödinger equation (NLS‐log) on a tadpole graph, namely, a graph consisting of a circle with a half‐line attached at a single vertex. By considering Neumann–Kirchhoff boundary conditions at the junction, we show the existence and the orbital stability of standing ...
Jaime Angulo Pava +1 more
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Manipulation of breather waves with split-dispersion cascaded fibers
New Journal of Physics, 2022 A stabilization scheme is proposed for the dynamics of breather waves induced by the coherent-seed modulation instability based on manipulation of phase-space trajectory. Theoretical and numerical analysis show that carefully dispersion- and nonlinearity-
Zhixiang Deng +3 more
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 2194-2223, 30 January 2025.The impact of predator‐driven fear on ecosystems is significant and can encompass both trophic (direct) and nontrophic (indirect) effects. Previous studies have shown that nontrophic fear effects have an important role in predator–prey dynamics. This study investigates the nontrophic fear effect on prey caused by generalist predators and explores ...
Anuj Kumar Umrao +2 more
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Bifurcations of Nontwisted Heteroclinic Loop with Resonant Eigenvalues
The Scientific World Journal, 2014 By using the foundational solutions of the linear variational equation of the unperturbed system along the heteroclinic orbits to establish the local coordinate systems in the small tubular neighborhoods of the heteroclinic orbits, we study the ...
Yinlai Jin +5 more
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Homoclinic orbits for a nonperiodic Hamiltonian system
Journal of Differential Equations, 2007 Consider the first order Hamiltonian system \(\overset{.}{z}={\mathcal J}H_{z}(t,z) \) where \(z=(p,q)\in {\mathbb R}^{2N},{\mathcal J} =\left( \begin{matrix} 0 & -I \\ I & 0 \end{matrix} \right) \) and \(H\in C^{1}({\mathbb R}\times {\mathbb R}^{2N},{\mathbb R}) \) has the form \( H\left( t,z\right)=\frac{1}{2}L\left( t\right) z\cdot z+R\left( t,z ...
Ding, Yanheng, Jeanjean, Louis
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IET Generation, Transmission &Distribution, Volume 19, Issue 1, January/December 2025.1. The reactive current injection system has infinite saddle points, and for every saddle point, there are two special lines (the blue lines in Figure 2). When the initial states are situated on the special lines, the final states of the reactive current injection will converge to the saddle points. 2.
Shuaishuai Lv +7 more
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