Results 81 to 90 of about 10,534 (236)
Homoclinic orbits for a class of symmetric Hamiltonian systems
Electronic Journal of Differential Equations, 1994 of Hamiltonian systems that are symmetric with respect to independent variable (time). For the scalar case we prove existence and uniqueness of a positive homoclinic solution. For the system case we prove existence of symmetric homoclinic orbits.
Philip Korman, Alan C. Lazer
doaj
Structurally Stable Homoclinic Classes [PDF]
, 2014 In this paper we study structurally stable homoclinic classes. In a natural way, the structural stability for an individual homoclinic class is defined through the continuation of periodic points.
Wen, Xiao
core
Homoclinic orbits on compact manifolds
Journal of Mathematical Analysis and Applications, 1991 Let \(M\) be a Riemannian manifold. Consider the differential equation \[ D_ t(x'(t))+\hbox{grad }V(x(t))=0,\leqno(1) \] where \(V\in C^ 2(M,{\mathbb{R}})\), \(x'\) is the derivative of the curve \(x(t)\) on \(M\), and \(D_ t(x')\) is the covariant derivative of \(x'\).
V. Benci, GIANNONI, Fabio
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Electronic Current Density Induced by Uniform Magnetic Fields in Clarenes
Chemistry – A European Journal, Volume 30, Issue 43, August 1, 2024.Calculations of the magnetic response are reported for few selected clarenes, the most stable isomers among cycloarenes, as identified by maximization of the number of Clar sextets, and tested computationally. Only some of the rings endowed with a Clar sextet show an exaltation of the diatropic ring current, as could have been expected based on ...
Guglielmo Monaco +3 more
wiley +1 more source
Homoclinic orbits in 3D dissipative systems [PDF]
Scientific Technical Review, 2014 The paper deals with a variational system corresponding to a three-dimensional dynamic system. The characteristic equation of the variational system depends on partial solutions. The matrix of the right-hand part of the variational system is a sum of two
Martynyuk Andreevich Anatoly +1 more
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Homoclinic orbits for a class of $p$-Laplacian systems with periodic assumption
Electronic Journal of Qualitative Theory of Differential Equations, 2013 In this paper, by using a linking theorem, some new existence criteria of homoclinic orbits are obtained for the $p$-Laplacian system $d(|\dot{u}(t)|^{p-2}\dot{u}(t))/dt+\nabla V(t,x)=f(t)$, where $p>1$, $V(t,x)=-K(t,x)+W(t,x)$.
Xingyong Zhang
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Oscillatory and regularized shock waves for a modified Serre–Green–Naghdi system
Studies in Applied Mathematics, Volume 153, Issue 1, July 2024.Abstract The Serre–Green–Naghdi equations of water wave theory have been widely employed to study undular bores. In this study, we introduce a modified Serre–Green–Naghdi system incorporating the effect of an artificial term that results in dispersive and dissipative dynamics.
Daria Bolbot +2 more
wiley +1 more source
Homoclinic Orbits for a Class of Noncoercive Discrete Hamiltonian Systems
Journal of Applied Mathematics, 2012 A class of first-order noncoercive discrete Hamiltonian systems are considered. Based on a generalized mountain pass theorem, some existence results of homoclinic orbits are obtained when the discrete Hamiltonian system is not periodical and need not ...
Long Yuhua
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Bogdanov-Takens bifurcations in the enzyme-catalyzed reaction comprising a branched network
Mathematical Biosciences and Engineering, 2017 There have been some results on bifurcations of codimension one (such as saddle-node, transcritical, pitchfork) and degenerate Hopf bifurcations for an enzyme-catalyzed reaction system comprising a branched network but no further discussion for ...
Qiuyan Zhang +2 more
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Invariant manifolds of homoclinic orbits: super-homoclinics and multi-pulse homoclinic loops
, 2020 Consider a Hamiltonian flow on R4 with a hyperbolic equilibrium O and a transverse homoclinic orbit Γ. In this thesis, we study the dynamics near Γ in its energy level when it leaves and enters O along strong unstable and strong stable directions, respectively. In particular, we provide necessary and sufficient conditions for the existence of the local
openaire +3 more sources