A simple chaotic circuit with impulsive switch depending on time and state

被引：8

作者：

Kobayashi, Yoshifumi ^{[1
]}

Nakano, Hidehiro ^{[1
]}

Saito, Toshimichi ^{[1
]}

机构：

[1] Hosei Univ, Dept Elect Elect & Comp Engn, Koganei, Tokyo 1848584, Japan

来源：

NONLINEAR DYNAMICS | 2006年 / 44卷 / 1-4期

关键词：

1-D return map; bifurcation; chaos; integrate-and-fire model; synchronization;

D O I：

10.1007/s11071-006-1937-1

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper presents a simple chaotic circuit consisting of two capacitors, one linear two-port VCCS and one time-state-controlled impulsive switch. The impulsive switch causes rich chaotic and periodic behavior. The circuit dynamics can be simplified into a one-dimensional return map that is piecewise linear and piecewise monotone. Using the return map, we clarify parameter conditions for existence of chaotic and periodic attractors and coexistence state of attractors.

引用

页码：73 / 79

页数：7

共 11 条

[1] COMPLICATED, BUT RATIONAL, PHASE-LOCKING RESPONSES OF A SIMPLE TIME-BASE OSCILLATOR [J].

ALLEN, T .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1983, 30 (09) :627-632

[2] Synchrony and desynchrony in integrate-and-fire oscillators [J].

Campbell, SR ;

Wang, DLL ;

Jayaprakash, C .

NEURAL COMPUTATION, 1999, 11 (07) :1595-1619

[3] Resonate-and-fire neurons [J].

Izhikevich, EM .

NEURAL NETWORKS, 2001, 14 (6-7) :883-894

[4] Weakly pulse-coupled oscillators, FM interactions, synchronization, and oscillatory associative memory [J].

Izhikevich, EM .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 1999, 10 (03) :508-526

[5] INTEGRATE-AND-FIRE MODELS OF NERVE MEMBRANE RESPONSE TO OSCILLATORY INPUT. [J].

Keener, J.P. ;

Hoppensteadt, F.C. ;

Rinzel, J. .

SIAM Journal on Applied Mathematics, 1981, 41 (03) :503-517

[6] The Bifurcating Neuron Network I [J].

Lee, G ;

Farhat, NH .

NEURAL NETWORKS, 2001, 14 (01) :115-131

[7] SYNCHRONIZATION OF PULSE-COUPLED BIOLOGICAL OSCILLATORS [J].

MIROLLO, RE ;

STROGATZ, SH .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1990, 50 (06) :1645-1662

[8] Mutually pulse-coupled chaotic circuits by using dependent switched capacitors [J].

Mitsubori, Kunihiko ;

Saito, Toshimichi .

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 2000, 47 (10) :1469-1478

[9] Response of a simple dependent switched capacitor circuit to a pulse-train input [J].

Miyachi, K ;

Nakano, H ;

Saito, T .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2003, 50 (09) :1180-1187

[10] Basic dynamics from a pulse-coupled network of autonomous integrate-and-fire chaotic circuits [J].

Nakano, H ;

Saito, T .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2002, 13 (01) :92-100

← 1 2 →