Results 11 to 20 of about 633,095 (156)
Optimisation of solar sail interplanetary heteroclinic connections [PDF]
2nd IAA/AAS Conference on Dynamics and Control of Space Systems, DyCoSS2, 2014 This paper investigates time-optimal solar sail trajectories between displaced Libration Point Orbits (LPOs) of different circular restricted three-body systems. Key in the investigations is the search for transfers that require little steering ef-fort to enable the transfers with low control authority solar sail-like devices such as SpaceChips.
Heiligers, Jeannette +2 more
core +7 more sources
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
core +7 more sources
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
core +8 more sources
Topologically crossing heteroclinic connections to invariant tori [PDF]
Journal of Differential Equations, 2003 Let \(M\) be a symplectic manifold of dimension \(2n_c+ 2n_h\), with \(n_c\), \(n_h> 0\), and let \(f_\mu: M\to M\) be a family of symplectic diffeomorphisms that depends smoothly on \(\mu\) with \(|\mu- \mu_0|< a_0\) for some \(a_0> 0\). We assume that each \(f_\mu\) has a partially hyperbolic fixed point \(p_\mu\) such that the derivative of \(f_\mu\)
Gidea, Marian, Robinson, Clark
openaire +3 more sources
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
openaire +3 more sources
Heteroclinic and homoclinic connections in a Kolmogorov-like flow
Physical Review E, 2019 Supplemental Videos Showing Heteroclinic and Homoclinic Connections Are ...
Suri, Balachandra +3 more
openaire +5 more sources
Pitchfork bifurcation and heteroclinic connections in the Kuramoto–Sivashinsky PDE
Journal of Computational DynamicsWe present a method for the complete analysis of the dynamics of dissipative Partial Differential Equations (PDEs) undergoing a pitchfork bifurcation. We apply our technique to the Kuramoto--Sivashinsky PDE on the line to obtain a computer-assisted proof of the creation of two symmetric branches of non-symmetric fixed points and heteroclinic ...
Kubica, Jacek +2 more
openaire +4 more sources
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.
core +11 more sources
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
A study of chaos for processes under small perturbations II: rigorous proof of chaos [PDF]
Opuscula Mathematica, 2010 In the present paper we prove distributional chaos for the Poincaré map in the perturbed equation \[\dot{z}=\left(1 + e^{i\kappa t} |z|^2\right)\bar{z}^2 - N e^{-i\frac{\pi}{3}}.\] Heteroclinic and homoclinic connections between two periodic solutions ...
Piotr Oprocha, Paweł Wilczyński
doaj +1 more source