https://doi.org/10.1140/epjst/e2014-02299-2
Regular Article
Self-organization of antiperiodic oscillations
1 Institute for Multiscale Simulations, Friedrich-Alexander-Universität, 91052 Erlangen, Germany
2 Departamento de Física, Universidade Federal da Paraíba, 58051-970 João Pessoa, Brazil
3 Instituto de Física, Facultad de Ciencias, Universidad de la República, Iguá 4225, Montevideo, Uruguay
4 Instituto de Altos Estudos da Paraíba, Rua Infante Dom Henrique 100–1801, 58039-150 João Pessoa, Brazil
5 Department of Mathematics, Imperial College London, 180 Queen's Gate, London SW7 2AZ, UK
a e-mail: jason.gallas@cbi.uni-erlangen.de
Received: 25 May 2014
Revised: 17 October 2014
Published online: 10 December 2014
Antiperiodic oscillations forming infinite cascades of spirals were recently found experimentally and numerically in the control parameter space of an autonomous electronic circuit. They were discovered while recording one specific voltage of the circuit. Here, we show that such regular self-organization may be measured in any of the four variables of the circuit. Although the relative size of individual phases, their boundaries and the number of peaks of each characteristic oscillation depends on the physical quantity used to record them, the global structural organization of the complex phase diagrams is an invariant of the circuit. Tunable families of antiperiodic oscillations cast fresh light on new intricate behavior of nonlinear systems and open the possibility of studying hitherto unobserved phenomena.
© EDP Sciences, Springer-Verlag, 2014
