Homoclinic orbits to invariant tori near a homoclinic orbit to center–center–saddle equilibrium [PDF]
Physica D: Nonlinear Phenomena, 2005 We consider a perturbation of an integrable Hamiltonian vector field with three degrees of freedom with a center–center–saddle equilibrium having a homoclinic orbit or loop. With the help of a Poincaré map (chosen based on the unperturbed homoclinic loop), we study the homoclinic intersections between the stable and unstable manifolds associated to ...
Koltsova, Oksana +3 more
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Heteroclinic Connections between Periodic Orbits in Planar Restricted Circular Three Body Problem - Part II [PDF]
, 2004 We present a method for proving the existence of symmetric periodic, heteroclinic or homoclinic orbits in dynamical systems with the reversing symmetry.
Wilczak, D., Zgliczynski, P.
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Homoclinic orbits for Schrödinger systems
Michigan Mathematical Journal, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Schechter, Martin, Zou, Wenming
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Homoclinic Bifurcations in Planar Piecewise-Linear Systems
Discrete Dynamics in Nature and Society, 2013 The problem of homoclinic bifurcations in planar continuous piecewise-linear systems with two zones is studied. This is accomplished by investigating the existence of homoclinic orbits in the systems.
Bin Xu, Fenghong Yang, Yun Tang, Mu Lin
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Complex dynamics of a sub-quadratic Lorenz-like system
Open Physics, 2023 Motivated by the generic dynamical property of most quadratic Lorenz-type systems that the unstable manifolds of the origin tending to the stable manifold of nontrivial symmetrical equilibria forms a pair of heteroclinic orbits, this technical note ...
Li Zhenpeng +5 more
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Homoclinic crossing in open systems: Chaos in periodically perturbed monopole plus quadrupolelike potentials [PDF]
, 2002 The Melnikov method is applied to periodically perturbed open systems modeled by an inverse--square--law attraction center plus a quadrupolelike term. A compactification approach that regularizes periodic orbits at infinity is introduced.
A. E. Motter +30 more
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Heteroclinic, homoclinic and closed orbits in the Chen system [PDF]
, 2016 Bounded orbits such as closed, homoclinic and heteroclinic orbits are discussed in this work for a Lorenz- like 3D nonlinear system. For a large spectrum of the parameters the system has neither closed nor homoclinic orbits but has exactly two ...
Llibre, Jaume, Tigan, Gheorghe
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Continuation of Homoclinic Orbits in Matlab [PDF]
, 2005 We have added the functionality for continuing homoclinic orbits to cl_matcont, a user-friendly matlab package for the study of dynamical systems and their bifurcations. It is now possible to continue homoclinic-to-hyperbolic-saddle and homoclinic-to-saddle-node orbits.
Friedman, M. +3 more
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Bifurcation and chaos for piecewise nonlinear roll system of rolling mill
Advances in Mechanical Engineering, 2017 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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Homoclinic orbits for periodic second order Hamiltonian systems with superlinear terms
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We obtain the existence of nontrivial homoclinic orbits for nonautonomous second order Hamiltonian systems by using critical point theory under some different superlinear conditions from those previously used in Hamiltonian systems.
Haiyan Lv, Guanwei Chen
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