Results 21 to 30 of about 2,789,352 (166)
Homoclinic solutions for second order Hamiltonian systems with general potentials near the origin
Electronic Journal of Qualitative Theory of Differential Equations, 2013 In this paper, we study the existence of infinitely many homoclinic solutions for a class of second order Hamiltonian systems with general potentials near the origin. Recent results from the literature are generalized and significantly improved.
Qingye Zhang
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Homoclinic Orbits for a Class of Nonperiodic Hamiltonian Systems with Some Twisted Conditions
Abstract and Applied Analysis, 2013 By the Maslov index theory, we will study the existence and multiplicity of homoclinic orbits for a class of asymptotically linear nonperiodic Hamiltonian systems with some twisted conditions on the Hamiltonian functions.
Qi Wang, Qingye Zhang
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The numerical computation of connecting orbits in dynamical systems [PDF]
, 1990 Beyn W-J. The numerical computation of connecting orbits in dynamical systems. IMA Journal of Numerical Analysis. 1990;10(3):379-405.Structural changes in dynamical systems are often related to the appearance or disappearance of orbits connecting two ...
Beyn, Wolf-Jürgen
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The geometric Lorenz attractor is a Homoclinic Class [PDF]
, 2004 An attractor is a transitive set to which all nearby positiveorbits converge. An example of an attractor is the geometric Lorenz attractor [GH].
Bautista, Serafín
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Abstract and Applied Analysis, 2014 We investigate a class of nonperiodic fourth order differential equations with general potentials. By using variational methods and genus properties in critical point theory, we obtain that such equations possess infinitely homoclinic solutions.
Liu Yang
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Spatially localized binary fluid convection in a porous medium [PDF]
, 2010 The origin and properties of time-independent spatially localized binary fluid convection in a layer of porous material heated from below are studied.
Bergeon, Alain +5 more
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Homoclinics for singular strong force Lagrangian systems
Advances in Nonlinear Analysis, 2019 We study the existence of homoclinic solutions for a class of Lagrangian systems ddt$\begin{array}{} \frac{d}{dt} \end{array} $(∇Φ(u̇(t))) + ∇uV(t, u(t)) = 0, where t ∈ ℝ, Φ : ℝ2 → [0, ∞) is a G-function in the sense of Trudinger, V : ℝ × (ℝ2 ∖ {ξ}) → ℝ ...
Izydorek Marek +2 more
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Infinitely many homoclinic solutions for a class of nonlinear difference equations
Electronic Journal of Qualitative Theory of Differential Equations, 2012 By using the Symmetric Mountain Pass Theorem, we establish some existence criteria to guarantee a class of nonlinear difference equation has infinitely many homoclinic orbits. Our conditions on the nonlinear term are rather relaxed and we generalize some
Peng Chen, Zhengmei Wang
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Communications on Pure and Applied Mathematics, Volume 79, Issue 9, Page 2107-2157, September 2026.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$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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Detection of symmetric homoclinic orbits to saddle-centres in reversible systems [PDF]
, 2005 We present a perturbation technique for the detection of symmetric homoclinic orbits to saddle-centre equilibria in reversible systems of ordinary differential equations.
Yagasaki, Kazuyuki, Wagenknecht, T
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