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Typical orbits of quadratic polynomials with a neutral fixed point: non-Brjuno type
, 2010
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0 TYPICAL ORBITS OF QUADRATIC POLYNOMIALS WITH A NEUTRAL FIXED POINT I: NON-BRJUNO TYPE
"... ar ..."
SRB measures for partially hyperbolic systems whose central direction is mostly expanding
, 2000
"... We construct Sinai-Ruelle-Bowen (SRB) measures supported on partially hyperbolic sets of diffeomorphisms -- the tangent bundle splits into two invariant subbundles, one of which is uniformly contracting -- under the assumption that the complementary subbundle is non-uniformly expanding. If the r ..."
Abstract
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Cited by 197 (44 self)
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hyperbolic subbundle). 1 Introduction The following approach has been most effective in studying the dynamics of complicated systems: one tries to describe the average time spent by typical orbits in different regions of the phase space. According to the ergodic theorem of Birkhoff, such times are well
Orbital branching
- in Proceedings of IPCO XII
, 2007
"... Orbital branching is a method for branching on variables in integer programming that reduces the likelihood of evaluating redundant, isomorphic nodes in the branch-and-bound procedure. In this work, the orbital branching methodology is extended so that the branching disjunction can be based on an ar ..."
Abstract
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Cited by 21 (3 self)
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Orbital branching is a method for branching on variables in integer programming that reduces the likelihood of evaluating redundant, isomorphic nodes in the branch-and-bound procedure. In this work, the orbital branching methodology is extended so that the branching disjunction can be based
MOND orbits in the Oort cloud
, 901
"... We numerically investigate the features of typical orbits occurring in the Oort cloud (r ≈ 50 − 150 kAU) in the low-acceleration regime of the MOdified Newtonian Dynamics (MOND) taking into account the External Field Effect (EFE). We use three different forms of the MOND interpolating function µ(x) ..."
Abstract
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Cited by 1 (0 self)
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We numerically investigate the features of typical orbits occurring in the Oort cloud (r ≈ 50 − 150 kAU) in the low-acceleration regime of the MOdified Newtonian Dynamics (MOND) taking into account the External Field Effect (EFE). We use three different forms of the MOND interpolating function µ
Optimal Periodic Orbits of Chaotic Systems
- Phys. Rev. Lett
, 1996
"... Invariant sets embedded in a chaotic attractor can generate time averages that differ from the average generated by typical orbits on the attractor. Motivated by two different topics (namely, controlling chaos and riddled basins of attraction), we consider the question of which invariant set yiel ..."
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Invariant sets embedded in a chaotic attractor can generate time averages that differ from the average generated by typical orbits on the attractor. Motivated by two different topics (namely, controlling chaos and riddled basins of attraction), we consider the question of which invariant set
A Typical Spacecraft Autonomy System
- International Conference on Machine Learning (ICML) Workshop on Machine Learning Technologies for Autonomous Space Applications
, 2003
"... Over the last decade or so, the Johns Hopkins University Applied Physics Laboratory (JHU/APL) has designed, built, launched, and operated several interplanetary and Earth-orbiting spacecraft such as ACE, MSX, NEAR, FUSE, TIMED, and CONTOUR. Several others, such as MESSENGER, STEREO, and New Horizons ..."
Abstract
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Cited by 2 (0 self)
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Over the last decade or so, the Johns Hopkins University Applied Physics Laboratory (JHU/APL) has designed, built, launched, and operated several interplanetary and Earth-orbiting spacecraft such as ACE, MSX, NEAR, FUSE, TIMED, and CONTOUR. Several others, such as MESSENGER, STEREO, and New
Optimal Periodic Orbits of Chaotic Systems Occur at Low Period
- Rev. E
, 1996
"... Invariant sets embedded in a chaotic attractor can generate time averages that differ from the average generated by typical orbits on the attractor. Motivated by two different topics (namely, controlling chaos and riddled basins of attraction), we consider the question of which invariant set yiel ..."
Abstract
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Cited by 22 (1 self)
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Invariant sets embedded in a chaotic attractor can generate time averages that differ from the average generated by typical orbits on the attractor. Motivated by two different topics (namely, controlling chaos and riddled basins of attraction), we consider the question of which invariant set
CLOSED ORBIT CONTROL IN ENERGY RAMPS ON THE SRS AT
"... The SRS is a second generation synchrotron radiation source which ramps from its injection energy of 600 MeV to 2 GeV in about 1 minute. Some orbit control during energy ramping has taken place on the SRS for the last two years, to overcome problems encountered with large uncorrected orbit drifts an ..."
Abstract
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for these will demand a higher degree of position control through all phases from injection to user beam. Typical orbit deviations previously seen in energy ramps are described, and compared with new results gained by the application of steering corrector files at suitable points on the ramp. 1
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