Targeting in Hamiltonian systems that have mixed regular/chaotic phase spaces

Chaos

Volumn 7, Issue 4, 1997, Pages 512-519

  Schroer, Christian G ^a   Ott, Edward ^a  

^a UNIVERSITY OF MARYLAND   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002144548     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.166277     Document Type: Article

References (18)

1. E. Ott, C. Grebogi, and J. A. Yorke, "Controlling chaos," Phys. Rev. Lett. 64, 1196-1199 (1990).
2. E. Ott and M. Spano, "Controlling chaos," Phys. Today 48, 34-40 (1995).
3. T. Shinbrot, C. Grebogi, E. Ott, and J. A. Yorke, "Using small perturbations to control chaos," Nature (London) 363, 411-417 (1993).
4. W. L. Ditto, M. L. Spano, and J. F. Lindner, "Techniques for the control of chaos," Physica D 86, 198-211 (1995).
5. T. Shinbrot, E. Ott, C. Grebogi, and J. A. Yorke, "Using chaos to direct trajectories to targets," Phys. Rev. Lett. 65, 3215-3218 (1990).
6. E. J. Kostelich, C. Grebogi, E. Ott, and J. A. Yorke, "Higher-dimensional targeting," Phys. Rev. E 47, 305-310 (1993).
7. E. Barreto, E. J. Kostelich, C. Grebogi, E. Ott, and J. A. Yorke, "Efficient switching between controlled unstable periodic orbits in higher dimensional chaotic systems," Phys. Rev. E 51, 4169-4172 (1995).
8. E. M. Bollt, "Controlling Chaos, Targeting, and Transport," Ph.D. thesis, University of Colorado (1995) (University Microfilms).
9. E. M. Bollt and J. D. Meiss, "Controlling chaotic transport through recurrence," Physica D 81, 280-294 (1995).
10. E. M. Bollt and J. D. Meiss, "Targeting chaotic orbits to the moon through recurrence," Phys. Lett. A 204, 373-378 (1995).
11. J. D. Meiss and E. Ott, "Markov tree model of transport in area-preserving maps," Physica D 20, 387-402 (1986).
12. J. D. Meiss, "Symplectic maps, variational principles, and transport," Rev. Mod. Phys. 64, 795-848 (1992).
13. E. Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, 1994).
14. C. L. Siegel and J. K. Moser, Lectures on Celestial Mechanics (Springer, Berlin, 1971).
15. P. R. Escobal, Methods of Astrodynamics (Wiley, New York, 1968).
16. R. R. Bate, D. D. Mueller, and J. E. White, Fundamentals of Astrodynamics (Dover, New York, 1971).
17. E. Belbruno, "Ballistic lunar capture transfers using the fuzzy boundary and solar perturbations: A survey," J. Bri. Interplanet. Soc. 47, 73-80 (1994).
18. A. J. Lichtenberg and M. A. Liebermann, Regular and Stochastic Motion (Springer, New York, 1983).