[PDF] Top 20 On homoclinic orbits for a class of damped vibration systems
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On homoclinic orbits for a class of damped vibration systems
... of homoclinic orbits for the nonperiodic system (VS) when W satisfies the subquadratic condition at ...of homoclinic orbits for the nonperiodic system (VS) when W satisfies the local (AR) growth ... See full document
12
Existence of fast homoclinic orbits for a class of second-order non-autonomous problems
... of homoclinic solutions and periodic solutions for Hamiltonian systems have been extensively studied by critical point ...considered homoclinic solutions for the special Hamiltonian system ...of ... See full document
18
Ground state homoclinic orbits of superquadratic damped vibration systems
... In the case where nonlinearities are superquadratic at infinity, we study the existence of ground state homoclinic orbits for damped vibration systems without periodic conditions by ... See full document
13
Homoclinic orbits for a class of second order dynamic equations on time scales via variational methods
... a homoclinic orbit or an unbounded sequence of homoclinic orbits are obtained by using the mountain pass lemma and the symmetric mountain pass lemma, ... See full document
16
Existence of homoclinic orbits for a class of p-Laplacian systems in a weighted Sobolev space
... In [], Chen and Tang improved Theorem A and Theorem B by relaxing conditions (W) and (W) and removing condition (W). Motivated mainly by the ideas of [, – ], we will consider homoclinic solutions of ... See full document
18
Infinitely many homoclinic orbits for a class of discrete Hamiltonian systems
... It is easy to check that (W) and (W) imply (W). Thus, we have the following corollary. Corollary . Assume that p(n) is an N × N real symmetric positive definite matrix for all n ∈ Z, L and W satisfy (L), (W), (W), ... See full document
12
Existence of fast homoclinic solutions for a class of second-order damped vibration systems
... Motivated mainly by the above mentioned works, we will investigate fast homoclinic so- lutions for problem (1.1) and establish some results. In the following, we first state some properties of the weighted Sobolev ... See full document
13
New potential condition on homoclinic orbits for a class of discrete Hamiltonian systems
... The existence and multiplicity of homoclinic solutions of system (.) or its special forms have been investigated by many authors. Papers [–] deal with the periodic case where p, L and W are periodic in n or ... See full document
9
Homoclinic orbits for damped vibration systems with asymptotically quadratic or subquadratic potentials
... Compared with the case where B = , the case where B = is more difficult. The study of homoclinic orbits for system (.) has attracted a lot of attention by many researchers; see [–]. This work is ... See full document
11
Multiple periodic solutions for damped vibration systems with superquadratic terms at infinity
... By using variational methods, we obtain infinitely many nontrivial periodic solutions for a class of damped vibration systems with superquadratic terms at infinity. By using some weaker ... See full document
12
Ground state homoclinic orbits of damped vibration problems
... This is a classical equation which can describe many mechanic systems such as a pen- dulum. In the past decades, the existence and multiplicity of periodic solutions and ho- moclinic orbits for (.) have ... See full document
15
New homoclinic solutions for a class of second-order Hamiltonian systems with a mixed condition
... In the last two decades, many mathematicians have successfully used variational meth- ods to obtain the existence and multiplicity of homoclinic orbits for problem (1) such as [1, 3–18, 20–37]. Since this ... See full document
14
Fast homoclinic solutions for damped vibration problems with superquadratic potentials
... periodic systems because of the lack of compactness of the Sobolev embedding, see for instance [1, 11, 15, 19] and the references ...of homoclinic solutions of (HS), the following so-called global ... See full document
14
New conditions on homoclinic solutions for a subquadratic second order Hamiltonian system
... The existence and multiplicity of nontrivial homoclinic solutions for problem (.) have been extensively investigated in the literature with the aid of critical point theory and vari- ational methods (see, for ... See full document
17
Homoclinic solutions for a class of neutral Duffing differential systems
... Chen Advances in Difference Equations 2014, 2014 121 http //www advancesindifferenceequations com/content/2014/1/121 R ES EARCH Open Access Homoclinic solutions for a class of neutral Duffing differen[.] ... See full document
13
Multiple homoclinic solutions for a class of nonhomogeneous Hamiltonian systems
... The homoclinic solutions have been proved to be important in studying the behavior of dynamic ...of homoclinic solutions for problem (1) as the limit of a sequence of subharmonics which are obtained by the ... See full document
10
Homoclinic orbits and Lie rotated vector fields
... Abstract. 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. It ... See full document
6
Multiple homoclinic orbits for second order discrete Hamiltonian systems without symmetric condition
... In this paper, we investigate the second order self-adjoint discrete Hamiltonian system [p(n) u(n – 1)] – L(n)u(n) + λ a(n)∇G(u(n)) + μ b(n)∇ F(u(n)) = 0, where p,L : Z → R N×N are both positive definite for all n ∈ Z, ... See full document
15
An application of variational approach to a class of damped vibration problems with impulsive effects on time scales
... [] researched the existence of solutions for () when A(t) is negative-definite. Meng and Zhang in [] got some sufficient conditions for the existence of solutions for () by using a minimax theorem. Wu et al. in [] ... See full document
25
Resonant Homoclinic Bifurcations with Orbit Flips and Inclination Flips
... Homoclinic bifurcation with one orbit flip, two inclination flips and resonance in the tangent directions of homoclinic orbit is considered. By studying the associated successor functions constructed from a ... See full document
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