Results 11 to 20 of about 5,968 (173)
Homoclinic Bifurcations in Planar Piecewise-Linear Systems [PDF]
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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New Rational Homoclinic and Rogue Waves for Davey-Stewartson Equation [PDF]
Abstract and Applied Analysis, 2014 A new method, homoclinic breather limit method (HBLM), for seeking rogue wave solution of nonlinear evolution equation is proposed. A new family of homoclinic breather wave solution, and rational homoclinic solution (homoclinic rogue wave) for DSI and ...
Changfu Liu +3 more
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, 1994 Previously obtained results from the study of homoclinic bifurcations in ordinary differential equations are presented. The standard technique of analysis involves the construction of a Poincaré map on a surface near to the homoclinic point. This map is the composition of an inside map, with behaviour linearized about the homoclinic point, together ...
Drysdale, D, Drysdale, David
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Solar sail dynamics in the three-body problem: homoclinic paths of points and orbits [PDF]
, 2008 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]
, 1998 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]
, 1994 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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Controllability near a homoclinic bifurcation [PDF]
Systems & Control Letters, 2021 19 pages, 5 ...
Colonius, Fritz +2 more
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Bifurcations of global reinjection orbits near a saddle-node Hopf bifurcation [PDF]
, 2006 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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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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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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