Do We Need More Chaos Examples?

Yıl 2020, Cilt: 2 Sayı: 2, 49 - 51, 30.11.2020

Julien Sprott

Öz

A half century after the discovery of the Lorenz attractor, people are still finding and publishing new chaotic systems with special properties. Surely we are nearing the time when additional examples are unnecessary... or maybe not.

Anahtar Kelimeler

Chaos, Hidden attractor, Mulitfractal, Lyapuov exponents

Kaynakça

• Gottlieb, H. P. W., 1996 What is the simplest jerk function that gives chaos? American Journal of Physics 64: 525.
• Leonov, G. A. and Kuznetsov, N. V., 2013 Hidden attractors in dynamical systems. From hidden oscillations in Hilbert– Kolmogorov, Aizerman, and Kalman problems to hidden chaotic attractor in Chua circuits. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 23: 1330002-1-69.
• Lorenz, E. N., 1963 Deterministic nonperiodic flow. Journal of Atmospheric Sciences 26: 130–141.
• Rössler, O. E., 1976 An equation for continuous chaos. Physics Letters A 57: 397–398.
• Sprott, J. C., 1993 Strange Attractors: Creating Patterns in Chaos (M&T Books, New York).
• Sprott, J. C., 1997 Simplest dissipative chaotic flow. Physics Letters A 228: 271–274.
• Sprott, J. C., 2011 A proposed standard for the publication of new chaotic systems. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 21: 2391–2394.