Title :
Contributions to the analysis of second order piecewise linear systems with chaotic oscillations
Author :
Moreno, U.F. ; Peres, L.D. ; Bonatti, I.S.
Author_Institution :
Sch. of Electr. & Comput. Eng., Campinas Univ., Brazil
Abstract :
This paper is devoted to the analysis of a second order linear system with a piecewise linear feedback block exhibiting chaotic oscillations. The necessity of a feedback block which cannot be a function is pointed out. The analysis of the topological structure of the system is carried out by means of a point transformation method which allows one to form conclusions about the stability of the system as well as the location of unstable periodic orbits
Keywords :
chaos generators; circuit feedback; circuit oscillations; circuit stability; hysteresis; linear differential equations; nonlinear network analysis; oscillators; piecewise linear techniques; chaotic oscillations; piecewise linear feedback block; point transformation method; second order piecewise linear systems; system stability; topological structure analysis; unstable periodic orbits location; Chaos; Chaotic communication; Ear; Feedback; Hysteresis; Linear systems; Orbits; Oscillators; Piecewise linear techniques; Stability analysis;
Conference_Titel :
Circuits and Systems, 2000. Proceedings. ISCAS 2000 Geneva. The 2000 IEEE International Symposium on
Conference_Location :
Geneva
Print_ISBN :
0-7803-5482-6
DOI :
10.1109/ISCAS.2000.857195
