Bifurcations of Orbit and Inclination Flips Heteroclinic Loop with Nonhyperbolic Equilibria [PDF]
The Scientific World Journal, 2014 The bifurcations of heteroclinic loop with one nonhyperbolic equilibrium and one hyperbolic saddle are considered, where the nonhyperbolic equilibrium is supposed to undergo a transcritical bifurcation; moreover, the heteroclinic loop has an orbit flip ...
Fengjie Geng, Junfang Zhao
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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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First-guess generation of solar sail interplanetary heteroclinic connections [PDF]
, 2014 This work deals with the generation of first-guess interplanetary trajectories connecting Libration Point Orbits (LPOs) belonging to different restricted three body problems.
Heiligers, Jeannette +2 more
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Optimisation of solar sail interplanetary heteroclinic connections [PDF]
, 2014 This paper investigates time-optimal solar sail trajectories between displaced Libration Point Orbits (LPOs) of different circular restricted three-body systems.
Heiligers, Jeannette +2 more
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Invariant manifolds and orbit control in the solar sail three-body problem [PDF]
, 2008 In this paper we consider issues regarding the control and orbit transfer of solar sails in the circular restricted Earth-Sun system. Fixed points for solar sails in this system have the linear dynamical properties of saddles crossed with centers; thus ...
Waters, Thomas J., McInnes, Colin R.
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Extension of the sun-synchronous Orbit [PDF]
, 2010 Through careful consideration of the orbit perturbation force due to the oblate nature of the primary body a secular variation of the ascending node angle of a near-polar orbit can be induced without expulsion of propellant.
Bosquillon de Frescheville, Francois +9 more
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Dynamics of a plant-herbivore model with a chemically-mediated numerical response
Mathematics in Applied Sciences and Engineering, 2021 A system of two ordinary differential equations is proposed to model chemically-mediated interactions between plants and herbivores by incorporating a toxin-modified numerical response.
Lin Wang, James Watmough, Fang Yu
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Heteroclinic-structure transition of the pure quartic modulation instability
, 2022 We show that, in the pure-quartic systems, modulation instability (MI) undergoes heteroclinic-structure transitions (HSTs) at two critical frequencies of {\omega} c1 and {\omega} c2 ( {\omega} c2 > {\omega} c1 ), which indicates that there are ...
Chong Liu (450204) +3 more
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Spatial dynamics in the family of sixth-order differential equations from the theory of partial formation [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамикаTopic of the paper. Bounded stationary (i.e. independent in time) spatially one-dimensional solutions of a quasilinear parabolic PDE are studied on the whole real line.
Kulagin, Nikolaj Evgenevich +1 more
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Bifurcation of Nongeneric Homoclinic Orbit Accompanied by Pitchfork Bifurcation
Abstract and Applied Analysis, 2014 The bifurcation of a nongeneric homoclinic orbit (i.e., the orbit comes from the equilibrium along the unstable manifold instead of the center manifold) connecting a nonhyperbolic equilibrium is investigated, and the nonhyperbolic equilibrium undergoes ...
Fengjie Geng, Song Li
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