Bifurcations in two coupled Rössler systems

J. Rasmussen, E. Mosekilde and C. Reick

Mathematics and Computers in Simulation (MATCOM), 1996, vol. 40, issue 3, 247-270

Abstract: This paper presents a bifurcation analysis of two symmetrically coupled Rössler systems. The assumed symmetry does not allow any one direction to become preferred, and the coupled system is therefore an example of a higher-dimensional dissipative system which does not become effectively one-dimensional. The results are presented in terms of one- and two-parameter bifurcation diagrams. A particularly interesting finding is the replacement of some of the period-doubling bifurcations by torus bifurcations with the result that instead of the Feigenbaum transition to chaos a quasiperiodic scenario with frequency locking occurs. Calculation of the largest Lyapunov exponents reveals that the system is hyperchaotic in a significant fraction of parameter space.

Keywords: Quasiperiodic transition; Symmetry; Hyperchaos (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:40:y:1996:i:3:p:247-270

DOI: 10.1016/0378-4754(95)00036-4

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