caa a22 4500 467987416 CHVBK 20180323112535.0 cr unu---uuuuu 170328e19900301xx s 000 0 eng 10.1007/BF00050676 doi (NATIONALLICENCE)springer-10.1007/BF00050676 Barbanis B. Department of Physics, University of Thessaloniki, Greece aut Escape regions of a quartic potential [Elektronische Daten] [B. Barbanis] We investigate the escape regions of a quartic potential and the main types of irregular periodic orbits. Because of the symmetry of the model the zero velocity curve consists of four summetric arcs forming four open channels around the lines y = ± x through which an orbit can escape. Four unstable Lyapunov periodic orbits bridge these openings. We have found an infinite sequence of families of periodic orbits which is the outer boundary of one of the escape regions and several infinite sequences of periodic orbits inside this region that tend to homoclinic and heteroclinic orbits. Some of these sequences of periodic orbits tend to homoclinic orbits starting perpendicularly and ending asymptotically at the x-axis. The other sequences tend to heteroclinic orbits which intersect the x-axis perpendicularly for x > 0 and make infinite oscillations almost parallel to each of the two Lyapunov orbits which correspond to x > 0 or x < 0. Kluwer Academic Publishers, 1990 Celestial Mechanics and Dynamical Astronomy Kluwer Academic Publishers 48/1(1990-03-01), 57-77 0923-2958 48:1<57 1990 48 10569 https://doi.org/10.1007/BF00050676 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00050676 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Barbanis B. Department of Physics, University of Thessaloniki, Greece aut NATIONALLICENCE 773 0- Celestial Mechanics and Dynamical Astronomy Kluwer Academic Publishers 48/1(1990-03-01), 57-77 0923-2958 48:1<57 1990 48 10569 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer