Homoclinic orbits in a piecewise linear Rössler-like circuit

dc.contributorPisarchik, A.N., Centro de Investigaciones en Optica A. C., Loma del Bosque 115, 37150, Leon, Guanajuato, Mexico; Jaimes-Reátegui, R., Universidad de Guadalajara, Centro Universitario de Los Lagos, Enrique Díaz de Leon s/n, CP.47460, Lagos de Moreno, Jalisco, Mexico
dc.creatorPisarchik, A.N.
dc.creatorJaimes-Reategui, R.
dc.date.accessioned2015-11-19T18:50:15Z
dc.date.accessioned2022-11-02T15:29:48Z
dc.date.available2015-11-19T18:50:15Z
dc.date.available2022-11-02T15:29:48Z
dc.date.created2015-11-19T18:50:15Z
dc.date.issued2005
dc.identifierhttp://hdl.handle.net/20.500.12104/65323
dc.identifier10.1088/1742-6596/23/1/014
dc.identifierhttp://www.scopus.com/inward/record.url?eid=2-s2.0-25844507138&partnerID=40&md5=b0f0a116d8d49d0bf70c3fa7702c2b7d
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/5014692
dc.description.abstractIn addition to the well-known Rössler funnel that consists in near-homoclinic orbits, perfect homoclinic orbits have been found numerically and experimentally in a simplest piecewise linear Rössler-like electronic circuit. The evolution of the system in the homoclinic range exhibits period-bubbling and period-adding cascades when a control parameter is changed. A scaling law in the period-adding cascade between the period of a homoclinic orbit and the bifurcation parameter is evaluated. Other phenomena, such as the coexistence of two homoclinic orbits, homoclinic chaos, symmetry breaking and phase bistability are also demonstrated. The results of numerical simulations are in a good agreement with experiments. © 2005 IOP Publishing Ltd.
dc.relationJournal of Physics: Conference Series
dc.relation23
dc.relation1
dc.relation122
dc.relation127
dc.relationScopus
dc.titleHomoclinic orbits in a piecewise linear Rössler-like circuit
dc.typeConference Paper


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