Bubbling of attractors and synchronisation of chaotic oscillators
@article{Ashwin1994BubblingOA, title={Bubbling of attractors and synchronisation of chaotic oscillators}, author={P. Ashwin and J. Buescu and I. Stewart}, journal={Physics Letters A}, year={1994}, volume={193}, pages={126-139} }
We present a system of two coupled identical chaotic electronic circuits that exhibit a blowout bifurcation resulting in loss of stability of the synchronised state. We introduce the concept of bubbling of an attractor, a new type of intermittency that is triggered by low levels of noise, and demonstrate numerical and experimental examples of this behaviour. In particular we observe bubbling near the synchronised state of two coupled chaotic oscillators. We give a theoretical description of the… CONTINUE READING
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References
SHOWING 1-10 OF 21 REFERENCES
Synchronization of regular and chaotic systems.
- Physics, Medicine
- Physical review. A, Atomic, molecular, and optical physics
- 1992
- 46
- PDF
Dynamics and evolution: evolutionarily stable attractors, invasion exponents and phenotype dynamics.
- Biology, Medicine
- Philosophical transactions of the Royal Society of London. Series B, Biological sciences
- 1994
- 186
Transition to hyperchaos in chaotically forced coupled oscillators.
- Physics, Medicine
- Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 1993
- 54