Control of the Lorenz system: Destroying the homoclinic orbits

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 338, Issue 2, 2005, Pages 128-140

  Alvarez Ramirez, Jose ^a,c   Solis Daun, Julio ^a,c   Puebla, Hector ^a,b  

^a Instituto Mexicano del Petroleo ^*  (Mexico)

^b INSTITUTO MEXICANO DEL PETRÓLEO   (Mexico)

^c UNIVERSIDAD AUTÓNOMA METROPOLITANA   (Mexico)

Author keywords

Chaos control; Damping; Lorenz system

Indexed keywords

DAMPING; FEEDBACK CONTROL;

CHAOS CONTROL; CHAOTIC ATTRACTORS; CHAOTIC BEHAVIORS; FEEDBACK CONTROL STRATEGIES; FEEDBACK CONTROLLER; HOMOCLINIC CONNECTION; HOMOCLINIC ORBITS; LORENZ SYSTEM;

DYNAMICAL SYSTEMS;

ACCURACY; ARTICLE; CONDUCTANCE; DYNAMICS; FEEDBACK SYSTEM; HEATING; LIQUID; LORENZ SYSTEM; MEASUREMENT; MECHANICS; MOTION; PARAMETER; PHYSICS; PREDICTION; PROCESS CONTROL; QUANTITATIVE ANALYSIS; SIMULATION; TEMPERATURE; THERMODYNAMICS; TIME; VISCOSITY;

EID: 15944423869     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2005.02.024     Document Type: Article

References (9)

1. B. Salzmann J. Atmos. Sci. 19 1963 239
2. E.N. Lorenz J. Atmos. Sci. 20 1963 130
3. C.S. Sparrow The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors 1983 Springer-Verlag New York
4. J. Guckenheimer, and P. Holmes Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields 1983 Springer-Verlag New York
5. E. Ott, C. Grebogi, and Y.A. Yorke Phys. Rev. Lett. 64 1990 1196
6. A.L. Fradkov, and R.J. Evans Preprints of 15th IFAC World Congress on Automatic Control, Barcelona 2002 143
7. T.R. Bewley Phys. Fluids 11 1999 1169
8. K. Pyragas Phys. Lett. A 170 1992 421
9. K. Ogata Modern Control Engineering second ed. 1990 Prentice Hall Englewood Cliffs, NJ