CONFINORS AND BOUNDED-TIME PATTERNS IN CHUA'S CIRCUIT AND THE DOUBLE SCROLL FAMILY-Reference-Cited by-同舟云学术

CONFINORS AND BOUNDED-TIME PATTERNS IN CHUA'S CIRCUIT AND THE DOUBLE SCROLL FAMILY

Published:1991-03 Issue:01 Volume:01 Page:119-138
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

LOZI RENÉ¹,USHIKI SHIGEHIRO²

Affiliation:

1. Department of Mathematics, UA 168 C.N.R.S., University of Nice, Parc Valrose, 06034 Nice Cedex, France

2. Institute of Mathematics, Yoshida College, Kyoto University, Kyoto, 606, Japan

Abstract

We study the patterns in the time waveforms of the spiral attractors of the double scroll equations for the theoretical Chua's parameters. We introduce several mathematical tools linked to these equations (half-Poincaré maps, isochronic lines, selecting curves and antiselecting curves, spirals and antispirals, theorems of the turnstile, patterns and confinors). We prove that for given values of the parameters, only patterns in the time waveforms which are bounded in time can exist.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127491000099

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1. References;Chaotic Modelling and Simulation;2008-10-20

2. The Importance of Strange Attractors for Industrial Mathematics;Applied Optimization;2002

3. FITTING TRAPPING REGIONS FOR CHUA'S ATTRACTOR — A NOVEL METHOD BASED ON ISOCHRONIC LINES;International Journal of Bifurcation and Chaos;2000-01

4. Slow-Fast Autonomous Dynamical Systems;International Journal of Bifurcation and Chaos;1998-11

5. On Bifurcations Leading to Chaos in Chua's Circuit;International Journal of Bifurcation and Chaos;1998-04