The Jerk Dynamics of Chua's Circuit

被引:11
作者
Buscarino, Arturo [1 ]
Fortuna, Luigi [1 ]
Frasca, Mattia [1 ]
机构
[1] Univ Catania, Fac Ingn, Dipartimento Ingn Elettr Elettron & Informat, I-95125 Catania, Italy
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2014年 / 24卷 / 06期
关键词
Chua's circuit; jerk systems; nonlinear circuits;
D O I
10.1142/S0218127414500850
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, the dynamics of Chua's circuit in jerk form is presented. It is proved that two forms of Chua's circuit in jerk dynamics can be derived. The electronic circuit of the simpler dynamics has been implemented. The link between Chua's circuit and the search for simple jerk circuits has been established, therefore, proposing complex dynamics (like that of Chua's circuit) in jerk form.
引用
收藏
页数:10
相关论文
共 8 条
[1]  
CHUA LO, 1992, AEU-INT J ELECTRON C, V46, P250
[2]  
Fortuna L., 2009, CHUAS CIRCUIT IMPLEM
[3]   Question # 38. What is the simplest jerk function that gives chaos? [J].
Gottlieb, HPW .
AMERICAN JOURNAL OF PHYSICS, 1996, 64 (05) :525-525
[4]  
Madan RabinderN., 1993, Chua's circuit: a paradigm for chaos, V1
[5]   A New Chaotic Jerk Circuit [J].
Sprott, J. C. .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2011, 58 (04) :240-243
[6]  
Sprott J. C., 2010, Elegant Chaos: Algebraically Simple Chaotic Flows
[7]   A new class of chaotic circuit [J].
Sprott, J.C. .
Physics Letters, Section A: General, Atomic and Solid State Physics, 2000, 266 (01) :19-23
[8]   Simple chaotic systems and circuits [J].
Sprott, JC .
AMERICAN JOURNAL OF PHYSICS, 2000, 68 (08) :758-763