101 citations
- Rutherford Appleton LaboratoryGB5 papers
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- Instituto Superior TécnicoPT2 papers
- Max Planck Institute for the Physics of Complex SystemsDE2 papers
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5 papers · 1 filter
Periodic orbit analysis at the onset of the unstable dimension variability and at the blowout bifurcation
Rodrigo Frehse Pereira, Sandro Ely de Souza Pinto, Ricardo L. Viana +2
Many chaotic dynamical systems of physical interest present a strong form of nonhyperbolicity called unstable dimension variability (UDV), for which the chaotic invariant set conta…
Emerging attractors and the transition from dissipative to conservative dynamics
Christian S. Rodrigues, Alessandro P. S. de Moura, Celso Grebogi
The topological structure of basin boundaries plays a fundamental role in the sensitivity to the initial conditions in chaotic dynamical systems. Herewith we present a study on the…
Experimental continuation of periodic orbits through a fold
J. Sieber, A. Gonzalez-Buelga, S. A. Neild +2
We present a continuation method that enables one to track or continue branches of periodic orbits directly in an experiment when a parameter is changed. A control-based setup in c…
Signatures of fractal clustering of aerosols advected under gravity
Rafael Dias Vilela, Tamás Tél, Alessandro P. S. de Moura +1
Aerosols under chaotic advection often approach a strange attractor. They move chaotically on this fractal set but, in the presence of gravity, they have a net vertical motion down…
Finite-size effects on open chaotic advection
Rafael Dias Vilela, Alessandro P. S. de Moura, Celso Grebogi
We study the effects of finite-sizeness on small, neutrally buoyant, spherical particles advected by open chaotic flows. We show that, when projected onto configuration space, the…