Stabilizing nonlinear dynamical systems by an adaptive adjustment mechanism

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 61, Issue 2, 2000, Pages

  Huang, Weihong ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOTIC SYSTEMS;

ADAPTIVE ADJUSTMENT; EXTERNAL CONTROL; MULTIDIMENSIONAL DYNAMICAL SYSTEMS; PRIOR KNOWLEDGE; STABLE PERIODIC ORBITS;

NONLINEAR DYNAMICAL SYSTEMS;

EID: 0000173216     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.R1012     Document Type: Article

References (13)

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10. In M. S. Vieira and A. J. Lichtenberg, Phys. Rev. E 54, 1200 (1996), it is referred to as “linear feedback algorithm.” However, the very idea has long been applied in economics to stabilize a nonlinear system (not necessarily chaotic) in the form of “adaptive expectation.”
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13. AAM with (Formula presented) should be implemented with caution, because it actually destabilizes all original stable periodic orbits.