ABC (ADVENTURES IN BIFURCATIONS AND CHAOS) - A PROGRAM FOR STUDYING CHAOS

Authors
Citation
Mp. Kennedy, ABC (ADVENTURES IN BIFURCATIONS AND CHAOS) - A PROGRAM FOR STUDYING CHAOS, Journal of the Franklin Institute, 331B(6), 1994, pp. 631-658
Citations number
NO
Categorie Soggetti
Mathematics,"Engineering, Mechanical
ISSN journal
00160032
Volume
331B
Issue
6
Year of publication
1994
Pages
631 - 658
Database
ISI
SICI code
0016-0032(1994)331B:6<631:A(IBAC>2.0.ZU;2-J
Abstract
''Adventures in Bifurcations and Chaos'' (ABC) is a user-friendly prog ram for IBM-compatible PCs which has been designed for exploring bifur cations and chaos in the Chua oscillator paradigm. ABC calculates and draws equilibrium points, eigenvalues, eigenspaces, and trajectories. A two-dimensional projection of the three-dimensional dynamics is show n in a state space plot while the corresponding time waveforms are sim ultaneously displaced in a time-domain window. The software includes a n extensive database of sets of initial conditions and parameters whic h produce many dynamical behaviors which have been reported for Chua's oscillator: equilibrium points, bifurcation sequences, periodic ol bi ts, homoclinic and heteroclinic orbits and a plethora of chaotic attra ctors.