A Singular Bifurcation into Instant Chaos in a Piecewise-Linear Circuit

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 41, Issue 6, 1994, Pages 433-442

  Ohnishi, Masafumi ^a   Inaba, Naohiko ^a  

^a UTSUNOMIYA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; DIFFERENTIAL EQUATIONS; ELECTRIC RESISTANCE; NETWORKS (CIRCUITS); NONLINEAR CONTROL SYSTEMS; OSCILLATORS (ELECTRONIC); PIECEWISE LINEAR TECHNIQUES;

BIFURCATION POINT; CHAOTIC BAND; CIRCUIT EQUATION; DOUBLE SCROLL CIRCUIT; LIAPUNOV EXPONENT JUMP; PERIOD DOUBLING BIFURCATION; PIECEWICE LINEAR CIRCUIT; POINCARE MAP; RAYLEIGH OSCILLATOR;

CIRCUIT THEORY;

EID: 0028445066     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.295239     Document Type: Article

References (8)

1. L. O. Chua, M. Komuro, and T. Matsumoto, “The double scroll family,” IEEE Trans. Circ. Syst., vol-CAS. 33, pp. 1073–1118, 1986.
2. N. Inaba and S. Mori, “Chaos via Torus breakdown in a piecewise-linear forced van der Pol oscillator with a diode,” IEEE Trans. Circ. Syst., vol-CAS. 38, pp. 398–409, 1991.
3. N. Inaba and S. Mori, “Folded Torus breakdown in the forced Rayleigh oscillator with a diode pair” IEEE Trans. Circ. Syst- I, vol. 39, pp. 402–411, 1992.
4. J. Guckenheimer and P. Worfolk, “Instant chaos,” Workshop on Normal Forms and Homoclinic Chaos, 1992.
5. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. New York: Springer-Verlag, 1983.
6. J. Thompson and H. Stewart, Nonlinear Dynamics and Chaos. New York: Wiley, 1986.
7. P. Collet and J. P. Eckmann, Iterated Maps on the Interval as Dynamical Systems. Progress on Physics, Vol. I. Birkhauser-Boston: Boston.
8. A. Lasota and J. A. Yorke, “On the Existence of the Invariant Measure for Piecewise Monotomic Transformations,” Trans. Amer. Math. Soc., vol. 186, pp. 481–488, 1973.