Simple chaotic systems and circuits

被引:340
作者
Sprott, JC [1 ]
机构
[1] Univ Wisconsin, Dept Phys, Madison, WI 53706 USA
关键词
D O I
10.1119/1.19538
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
Many new chaotic systems with algebraically simple representations are described. These systems involve a single third-order autonomous ordinary differential equation (jerk equation) with various nonlinearities. Piecewise linear functions are emphasized to permit easy electronic implementation with diodes and operational amplifiers. Several new simple and robust chaotic electrical circuits are described and evaluated. (C) 2000 American Association of Physics Teachers.
引用
收藏
页码:758 / 763
页数:6
相关论文
共 28 条
[1]  
[Anonymous], 1979, ANN NY ACAD SCI
[2]   OSCILLATORS WITH CHAOTIC BEHAVIOR - AN ILLUSTRATION OF A THEOREM BY SHILNIKOV [J].
ARNEODO, A ;
COULLET, P ;
TRESSER, C .
JOURNAL OF STATISTICAL PHYSICS, 1982, 27 (01) :171-182
[3]   POSSIBLE NEW STRANGE ATTRACTORS WITH SPIRAL STRUCTURE [J].
ARNEODO, A ;
COULLET, P ;
TRESSER, C .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1981, 79 (04) :573-579
[4]   DESIGNING NON-LINEAR SINGLE OP-AMP CIRCUITS - A COOK-BOOK APPROACH [J].
CHUA, LO ;
AYROM, F .
INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 1985, 13 (03) :235-268
[5]   TRANSITION TO STOCHASTICITY FOR A CLASS OF FORCED OSCILLATORS [J].
COULLET, P ;
TRESSER, C ;
ARNEODO, A .
PHYSICS LETTERS A, 1979, 72 (4-5) :268-270
[6]  
DELRIO E, 1994, INT J BIFURCAT CHAOS, V4, P1003
[7]   Transformations of nonlinear dynamical systems to jerky motion and its application to minimal chaotic flows [J].
Eichhorn, R ;
Linz, SJ ;
Hänggi, P .
PHYSICAL REVIEW E, 1998, 58 (06) :7151-7164
[8]   Two modified for chaos negative impedance converter op amp oscillators with symmetrical and antisymmetrical nonlinearities [J].
Elwakil, AS ;
Soliman, AM .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1998, 8 (06) :1335-1346
[9]   Non-chaotic behaviour in three-dimensional quadratic systems [J].
Fu, Z ;
Heidel, J .
NONLINEARITY, 1997, 10 (05) :1289-1303
[10]   Question # 38. What is the simplest jerk function that gives chaos? [J].
Gottlieb, HPW .
AMERICAN JOURNAL OF PHYSICS, 1996, 64 (05) :525-525