caa a22 4500 445863331 CHVBK 20180317145450.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s10569-011-9361-3 doi (NATIONALLICENCE)springer-10.1007/s10569-011-9361-3 Onset of secular chaos in planetary systems: period doubling and strange attractors [Elektronische Daten] [Konstantin Batygin, Alessandro Morbidelli] As a result of resonance overlap, planetary systems can exhibit chaotic motion. Planetary chaos has been studied extensively in the Hamiltonian framework, however, the presence of chaotic motion in systems where dissipative effects are important, has not been thoroughly investigated. Here, we study the onset of stochastic motion in presence of dissipation, in the context of classical perturbation theory, and show that planetary systems approach chaos via a period-doubling route as dissipation is gradually reduced. Furthermore, we demonstrate that chaotic strange attractors can exist in mildly damped systems. The results presented here are of interest for understanding the early dynamical evolution of chaotic planetary systems, as they may have transitioned to chaos from a quasi-periodic state, dominated by dissipative interactions with the birth nebula. Springer Science+Business Media B.V., 2011 Chaotic motions nationallicence Hamiltonian systems nationallicence Periodic orbits nationallicence Dissipative forces nationallicence Planetary systems nationallicence Perturbation methods nationallicence Resonance overlap nationallicence Secular dynamics nationallicence Chaotic diffusion nationallicence Batygin Konstantin Division of Geological and Planetary Sciences, California Institute of Technology, 91125, Pasadena, CA, USA aut Morbidelli Alessandro Departement Cassiopée, Universite de Nice-Sophia Antipolis, Observatoire de la Côte dAzur, CNRS 4, 06304, Nice, France aut Celestial Mechanics and Dynamical Astronomy Springer Netherlands 111/1-2(2011-10-01), 219-233 0923-2958 111:1-2<219 2011 111 10569 https://doi.org/10.1007/s10569-011-9361-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10569-011-9361-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Batygin Konstantin Division of Geological and Planetary Sciences, California Institute of Technology, 91125, Pasadena, CA, USA aut NATIONALLICENCE 700 1- Morbidelli Alessandro Departement Cassiopée, Universite de Nice-Sophia Antipolis, Observatoire de la Côte dAzur, CNRS 4, 06304, Nice, France aut NATIONALLICENCE 773 0- Celestial Mechanics and Dynamical Astronomy Springer Netherlands 111/1-2(2011-10-01), 219-233 0923-2958 111:1-2<219 2011 111 10569 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer