Intermittency in a piecewise-linear circuit

Chua, Leon O.; Lin, G. N.

doi:10.1109/31.76487

Cited by 43 publications

(8 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The Chua circuit is a modified RLC circuit (Chua 1994(Chua , 2005Chua & Lin 1990Chua et al 1993), which consists of a linear inductor L, a linear resistor R, two linear capacitors C 1 and C 2 , and a nonlinear resistor N R ; this is the simplest electronic circuit that exhibits chaos. There are three Chua's equations, and their numerical studies as well as experimental verification are described in many papers (e.g., Matsumoto 1984;Zhong & Ayrom 1985;Chua et al 1986;Chua & Lin 1991;Chua et al 1993;Kyprianidis et al 1995;Cafagna & Grassi 2003;Chua 2005). Two 3D Chua's circuits were coupled together to form a HD circuit whose chaotic and non-chaotic behavior was explored by Kapitaniak & Chua (1994).…”

Section: Hd Systems With New Statesmentioning

confidence: 99%

High-Dimensional Chaos in Dissipative and Driven Dynamical Systems

Musielak

2009

Int. J. Bifurcation Chaos

View full text Add to dashboard Cite

Studies of nonlinear dynamical systems with many degrees of freedom show that the behavior of these systems is significantly different as compared with the behavior of systems with less than two degrees of freedom. These findings motivated us to carry out a survey of research focusing on the behavior of high-dimensional chaos, which include onset of chaos, routes to chaos and the persistence of chaos. This paper reports on various methods of generating and investigating nonlinear, dissipative and driven dynamical systems that exhibit high-dimensional chaos, and reviews recent results in this new field of research. We study high-dimensional Lorenz, Duffing, Rössler and Van der Pol oscillators, modified canonical Chua's circuits, and other dynamical systems and maps, and we formulate general rules of high-dimensional chaos. Basic techniques of chaos control and synchronization developed for high-dimensional dynamical systems are also reviewed.

show abstract

Section: Hd Systems With New Statesmentioning

confidence: 99%

High-Dimensional Chaos in Dissipative and Driven Dynamical Systems

Musielak

2009

Int. J. Bifurcation Chaos

View full text Add to dashboard Cite

show abstract

“…However even among the Chua's circuit family, the canonical Chua's circuit occupies a prime position. This is because the canonical Chua's circuit can generate all possible phenomena associated with any three region symmetric piecewise-linear continuous vector field while at the same time it contains a minimum (six) number of circuit elements [7,8,9]. Yet in spite of their versatility, the applications of Chua's circuit family are limited to low frequency ranges.…”

Section: Introductionmentioning

confidence: 99%

Improved realization of canonical Chua's circuit with synthetic inductor using current feedback operational amplifiers

Jothimurugan

Suresh

Ezhilarasu

et al. 2014

AEU - International Journal of Electronics and Communications

View full text Add to dashboard Cite

In this paper, we report an improved implementation of an inductorless third order autonomous canonical Chua's circuit. The active elements as well as the synthetic inductor employed in this circuit are designed using current feedback operational amplifiers (CFOAs). The reason for employing CFOAs is that they have better features such as high slew rate, high speed of operation, etc., which enable the circuit to operate at higher frequency ranges, when compared to the circuits designed using voltage operational amplifiers. In addition to this, the inclusion of CFOAs provide a buffered output which directly represent a state variable of the system. The Multisim simulations in the time and frequency domains confirm the theoretical estimates of the performance of the proposed circuit at high frequencies. It is also confirmed through hardware experiments.

show abstract

“…The circuit exhibits rich dynamics that demonstrate most well-known routes to chaos and has therefore been studied extensively [4]- [7]. The architecture of this oscillator is based on coupling a tank resonator (parallel L-C2 section in Fig.…”

Section: Introductionmentioning

confidence: 99%

“…The purpose of this paper is to briefly investigate the feasibility of 6-1 modulation [6], [7] as a control strategy for switching-mode dc-ac low-frequency sinusoidal output voltage inverters. Advantages of this technique include simplicity of implementation, low-cost, low-switching noise, and high-quality sinusoidal output voltage.…”

Section: Introductionmentioning

confidence: 99%