Results 11 to 20 of about 1,118,392 (164)
First-guess generation of solar sail interplanetary heteroclinic connections [PDF]
2nd IAA/AAS Conference on Dynamics and Control of Space Systems, DyCoSS2, 2014 This work deals with the generation of first-guess interplanetary trajectories connecting Libration Point Orbits (LPOs) belonging to different restricted three body problems. With the Sun always as first primary, the Earth, Mars and Mercury are assumed as second primary, and their relative models are coupled together with the view of defining ...
Mingotti, Giorgio +2 more
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Reconfiguring smart structures using approximate heteroclinic connections [PDF]
Smart Materials and Structures, 2015 A new method is investigated to reconfigure smart structures using the technique of polynomial series to approximate a true heteroclinic connection between unstable equilibria in a smart structure model. We explore the use of polynomials of varying order to first approximate the heteroclinic connection between two equal-energy, unstable equilibrium ...
Zhang, Jiaying, McInnes, Colin R
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Heteroclinic connections in singularly perturbed systems
Discrete and Continuous Dynamical Systems - B, 2008 We consider a singularly perturbed system with two normally hyperbolic centre manifolds. We derive one bifurcation function, the zeros of which correspond to heteroclinic connections near such a connection for the unperturbed system, and a second bifurcation function the zeros of which correspond to the vectors in the intersection of the tangent spaces
Battelli, F, Palmer, K
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Reconfiguring Smart Structures Using Approximate Heteroclinic Connections in a Spring-Mass Model [PDF]
, 2015 Several new methods are proposed to reconfigure smart structures with embedded computing, sensors and actuators. These methods are based on heteroclinic connections between equal-energy unstable equilibria in an idealised spring-mass smart structure ...
McInnes, C. R., Zhang, J.
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A general framework for invasion cycles in ecology. [PDF]
EcologyAbstract Theory predicts that indirect interactions in ecological networks sustain species diversity through oscillatory dynamics. However, a framework linking interaction structure to the presence, type, and complexity of these cycles is lacking. Here, we develop an analytical toolbox combining invasion graphs with a mathematical decomposition of ...
Calleja-Solanas V +5 more
europepmc +2 more sources
Connected simple systems, transition matrices, and heteroclinic bifurcations [PDF]
Transactions of the American Mathematical Society, 1992 Given invariant sets A A , B
McCord, Christopher +1 more
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Heteroclinic connections in plane Couette flow [PDF]
Journal of Fluid Mechanics, 2009 Plane Couette flow transitions to turbulence at Re ≈ 325 even though the laminar solution with a linear profile is linearly stable for all Re (Reynolds number). One starting point for understanding this subcritical transition is the existence of invariant sets in the state space of the Navier–Stokes equation, such as upper and lower branch equilibria ...
Halcrow, J. +3 more
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Dynamical Inference of Simple Heteroclinic Networks
Frontiers in Applied Mathematics and Statistics, 2019 Heteroclinic networks are structures in phase space that consist of multiple saddle fixed points as nodes, connected by heteroclinic orbits as edges. They provide a promising candidate attractor to generate reproducible sequential series of metastable ...
Maximilian Voit +1 more
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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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