New method of stability analysis for periodic orbits of piecewise linear chaotic systems

Shenzhen Daxue Xuebao (Ligong Ban)/Journal of Shenzhen University Science and Engineering

Volumn 24, Issue 2, 2007, Pages 133-137

  Lu, Yuan Yuan ^a   Hu, Qing Bin ^a  

^a SHENZHEN UNIVERSITY   (China)

Author keywords

Chau's circuit; Periodic orbit; Piecewise linear chaotic system; Poincare mapping; Stability analysis

Indexed keywords

COMPUTER SIMULATION; JACOBIAN MATRICES; LINEAR SYSTEMS; MAPPING; MATRIX ALGEBRA; PERIODIC STRUCTURES; PIECEWISE LINEAR TECHNIQUES; STABILITY; TIME DOMAIN ANALYSIS;

JACOBIAN MATRIX; PERIODIC ORBIT; PIECEWISE LINEAR CHAOTIC SYSTEM; POINCARE MAPPING;

CHAOTIC SYSTEMS;

EID: 34249860255     PISSN: 10002618     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (6)

1. LU Yuan-yuan, HU Qing-bin. Study on analytic approach for extracting periodic orbits of piecewise linear chaotic systems [J]. Journal of Shenzhen University Science and Engineering, 2007, 24(1): 90-94 (in Chinese).
2. QIU Shui-sheng. Study on periodic orbit theory of chaotic attractors (II) [J]. Journal of Circuits and Systems, 2004, 9(1): 1-5 (in Chinese).
3. QIU Shui-sheng. Non-linear Networks and Systems [M]. Chengdu: University of Electric Science and Technology Press, 1990 (in Chinese).
4. HAO Bai-lin. Introduction of Chaotic Dynamics - Talking From Parabolas [M]. Shanghai: Shanghai Science and Education Press, 1993 (in Chinese).
5. Silva C Shil'nikov. Theorem - a tutorial [J]. IEEE Trans on CAS-I, 1993, 40(10): 675-682.
6. Michael Peter Kennedy. Three steps to chaos-part II: A Chua's circuit primer [J]. IEEE Trans on CAS-I, 1993, 40(10): 657-674.