782 citations · 1.9k across the 7 of their papers we have counts for
5 papers · 1 filter
Effective dynamics in Hamiltonian systems with mixed phase space
Adilson E. Motter, Alessandro P. S. de Moura, Celso Grebogi +1
An adequate characterization of the dynamics of Hamiltonian systems at physically relevant scales has been largely lacking. Here we investigate this fundamental problem and we show…
Stickiness in mushroom billiards
Eduardo G. Altmann, Adilson E. Motter, Holger Kantz
We investigate dynamical properties of chaotic trajectories in mushroom billiards. These billiards present a well-defined simple border between a single regular region and a single…
Reactive dynamics of inertial particles in nonhyperbolic chaotic flows
Adilson E. Motter, Ying-Cheng Lai, Celso Grebogi
Anomalous kinetics of infective (e.g., autocatalytic) reactions in open, nonhyperbolic chaotic flows are important for many applications in biological, chemical, and environmental…
A fractal method for chaos in conservative closed systems of several dimensions
A. E. Motter, P. S. Letelier
A fractal method to detect, locate and quantify chaos in multi-dimensional-conservative-closed systems, based on the creation of artificial exits, is presented. The method is invar…
Arbitrariness in defining fractal basins: Relations between open and closed systems
A. E. Motter, P. S. Letelier
A discussion about dependences of the (fractal) basin boundary dimension with the definition of the basins and the size of the exits is presented for systems with one or more exits…