Homoclinic Solutions for a Class of Nonlinear Difference Equations [PDF]
We prove the existence of homoclinic solutions of a class of nonlinear difference equations with superlinear nonlinearity by using the generalized Nehari manifold approach.
Ali Mai, Zhan Zhou
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Multiple homoclinic solutions for a class of nonhomogeneous Hamiltonian systems
By introducing a new superquadratic condition, we obtain the existence of two nontrivial homoclinic solutions for a class of perturbed second order Hamiltonian systems which are obtained by the mountain pass theorem and Ekeland’s variational principle.
Chunhua Deng, Dong-Lun Wu
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Homoclinic Orbits for a Class of Noncoercive Discrete Hamiltonian Systems [PDF]
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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Homoclinic orbits for a class of symmetric Hamiltonian systems [PDF]
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
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Solar sail dynamics in the three-body problem: homoclinic paths of points and orbits [PDF]
In this paper we consider the orbital previous termdynamicsnext term of a previous termsolar sailnext term in the Earth-Sun circular restricted three-body problem. The equations of motion of the previous termsailnext term are given by a set of non-linear
Waters, Thomas +3 more
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Towards global models near homoclinic tangencies of dissipative diffeomorphisms [PDF]
A representative model of a return map near homoclinic bifurcation is studied. This model is the so-called fattened Arnold map, a diffeomorphism of the annulus. The dynamics is extremely rich, involving periodicity, quasiperiodicity and chaos. The method
Broer, H; id_orcid +6 more
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Numerical analysis of homoclinic orbits emanating from a Takens-Bogdanov point [PDF]
Beyn W-J. Numerical analysis of homoclinic orbits emanating from a Takens-Bogdanov point. IMA Journal of Numerical Analysis. 1994;14(3):381-410.It is known that branches of homoclinic orbits emanate from a singular point of a dynamical system with a ...
Beyn, Wolf-Jürgen
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The Lockdown Diaries of the Working Class
Collated by the Working Class Collective, The Lockdown Diaries of the Working Class is a beautiful, self-published, illustrated book featuring the diaries of working class people from across the UK and their experiences of life during the first COVID19 ...
The Working Class Collective
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Bifurcations of global reinjection orbits near a saddle-node Hopf bifurcation [PDF]
The saddle-node Hopf bifurcation (SNH) is a generic codimension-two bifurcation of equilibria of vector fields in dimension at least three. It has been identified as an organizing centre in numerous vector field models arising in applications.
Oldeman, BE +3 more
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Bifurcation and chaos for piecewise nonlinear roll system of rolling mill
A non-smooth cold roll system of rolling mill is studied to reveal the bifurcation of the piecewise-smooth and discontinuous system. To examine the influence of the parameters on the dynamics, the bifurcation diagram is constructed when it is unperturbed.
Chundi Si +3 more
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