MS#141. Emergent Periodicity in a Field of Chaos, 2014
- with Michael Nivala, UCLA
- In: Emerging Trends in Applied Mathematics:
International Conference, Kolkata, India, February, 2014,
Sarkar, Susmita, Uma Basu, and Soumen De, eds., Kolkata.
- Subjects: Economics
- Abstract: The synchronization of nonlinear oscillators is well-known and is a traditional
topic in complex dynamical system theory. The synchronization of
chaotic attractors is less well-known, but is of obvious interest in many applications
to the sciences: physical, biological, and social.
In a recent experimental study of coupled lattices of Rossler attractors,
(jointly with Michael Nivala) we were surprised to discover global periodic
behavior in large regimes of the parameter space. This emergent periodicity
in a eld of chaos may be of signicance in the origin of life, and in many life
In this article we will explore the emergence of global periodicity, and also the
periodic windows in the bifurcation diagram of the Rossler attractor, which
may be the local cause of this global behavior.
- [PDF] 10 pages, 4 MB
by Ralph Abraham