Results 101 to 110 of about 7,276 (215)
Abstract and Applied Analysis, 2014 This paper is concerned with the existence and multiplicity of fast homoclinic solutions for a class of damped vibration problems with impulsive effects.
Qiongfen Zhang
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Homoclinic intersections of symplectic partially hyperbolic systems with 2D center
, 2015 We study some generic properties of partially hyperbolic symplectic systems with 2D center. We prove that $C^r$ generically, every hyperbolic periodic point has a transverse homoclinic intersection for the maps close to a direct/skew product of an Anosov
Zhang, Pengfei
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Nonexistence of Homoclinic Orbits for a Class of Hamiltonian Systems
Abstract and Applied Analysis, 2013 We give several sufficient conditions under which the first-order nonlinear Hamiltonian system x'(t)=α(t)x(t)+f(t,y(t)), y'(t)=-g(t,x(t))-α(t)y(t) has no solution (x(t),y(t)) satisfying condition ...
Xiaoyan Lin, Qi-Ming Zhang, X. H. Tang
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, 2010 We prove that any diffeomorphism of a compact manifold can be approximated in topology C1 by another diffeomorphism exhibiting a homoclinic bifurcation (a homoclinic tangency or a heterodimensional cycle) or by one which is essentially hyperbolic (it has
Crovisier, Sylvain, Pujals, Enrique R.
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Existence of fast homoclinic orbits for a class of second-order non-autonomous problems [PDF]
, 2014 Qiongfen Zhang +2 more
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Hyperbolicity versus weak periodic orbits inside homoclinic classes [PDF]
Ergodic Theory and Dynamical Systems, 2017 We prove that, for$C^{1}$-generic diffeomorphisms, if the periodic orbits contained in a homoclinic class$H(p)$have all their Lyapunov exponents bounded away from zero, then$H(p)$must be (uniformly) hyperbolic. This is in the spirit of the works on the stability conjecture, but with a significant difference that the homoclinic class$H(p)$is not known ...
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Homoclinic solutions for a class of non-periodic second order Hamiltonian systems
Electronic Journal of Qualitative Theory of Differential Equations, 2010 We study the existence of homoclinic solutions for the second order Hamiltonian system $\ddot{u}+V_{u}(t,u)=f(t)$. Let $V(t,u)=-K(t,u)+W(t,u)\in C^{1}(\mathbb{R}\times\mathbb{R}^{n}, \mathbb{R})$ be $T$-periodic in $t$, where $K$ is a quadratic growth ...
Jian Ding, Junxiang Xu, Fubao Zhang
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Advances in Difference Equations, 2017 In this paper, we investigate the existence and multiplicity of homoclinic solutions for a class of nonlinear difference systems involving classical ( ϕ 1 , ϕ 2 ) $(\phi_{1},\phi _{2})$ -Laplacian and a parameter: { Δ ( ρ 1 ( n − 1 ) ϕ 1 ( Δ u 1 ( n − 1 )
Xingyong Zhang +3 more
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Usual limit shadowable homoclinic classes of generic diffeomorphisms [PDF]
, 2012 Manseob Lee
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