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- Gabriela Akemi Macedo Oda, Iberê L. Caldas, José R.C. Piqueira, James Waterhouse, Mirian David Marques
- Journal of theoretical biology
- 2000

Insects that live in the interior of caves show the basic internal temporal organization of coupled oscillators. An analysis is made of the coupled moulting and oviposition cycles of Folsomia candida, a cave-dwelling Collembolan, with regard to their oscillatory nature, their phase dependent responses to external perturbations, the effect of coupling on… (More)

Basic phenomena in chaos can be associated with homoclinic and heteroclinic orbits. In this paper, we present a general numerical method to demonstrate the existence of these orbits in piecewise-linear systems. We also show that the tangency of the stable and unstable manifolds, at the onset of the chaotic double-scroll attractor, changes the basin… (More)

- Ricardo L. Viana, Edilson Clement da Silva, T. Kroetz, Iberê L. Caldas, M. Roberto, Miguel A. F. Sanjuán
- Philosophical transactions. Series A…
- 2011

Fractal structures appear in many situations related to the dynamics of conservative as well as dissipative dynamical systems, being a manifestation of chaotic behaviour. In open area-preserving discrete dynamical systems we can find fractal structures in the form of fractal boundaries, associated to escape basins, and even possessing the more general… (More)

We investigate the statistics of recurrences to finite size intervals for chaotic dynamical systems. We find that the typical distribution presents an exponential decay for almost all recurrence times except for a few short times affected by a kind of memory effect. We interpret this effect as being related to the unstable periodic orbits inside the… (More)

- T. Kroetz, F. A. Marcus, M. Roberto, Iberê L. Caldas, Ricardo L. Viana, E. C. da Silva
- Computer Physics Communications
- 2009

Article history: Received 4 September 2008 Received in revised form 25 November 2008 Accepted 18 December 2008 Available online 25 December 2008 PACS: 52.55.Fa 52.55.Dy 52.25.Gj

- Dariel M Maranhão, M. S. Baptista, José Carlos Sartorelli, Iberê L. Caldas
- Physical review. E, Statistical, nonlinear, and…
- 2008

The existence of a special periodic window in the two-dimensional parameter space of an experimental Chua's circuit is reported. One of the main reasons that makes such a window special is that the observation of one implies that other similar periodic windows must exist for other parameter values. However, such a window has never been experimentally… (More)

- E. L. Lameu, F. S. Borges, +5 authors Juergen Kurths
- Chaos
- 2016

We have studied the effects of perturbations on the cat's cerebral cortex. According to the literature, this cortex structure can be described by a clustered network. This way, we construct a clustered network with the same number of areas as in the cat matrix, where each area is described as a sub-network with a small-world property. We focus on the… (More)

- Murilo S. Baptista, Tiago P. Silva, José Carlos Sartorelli, Iberê L. Caldas, Epaminondas Rosa
- Physical review. E, Statistical, nonlinear, and…
- 2003

We show experimental and numerical results of phase synchronization between the chaotic Chua circuit and a small sinusoidal perturbation. Experimental real-time phase synchronized states can be detected with oscilloscope visualization of the attractor, using specific sampling rates. Arnold tongues demonstrate robust phase synchronized states for… (More)

The linear properties of an electromagnetic drift-wave model are examined. The linear system is non-normal in that its eigenvectors are not orthogonal with respect to the energy inner product. The non-normality of the linear evolution operator can lead to enhanced finite-time growth rates compared to modal growth rates. Previous work with an electrostatic… (More)

We consider the effects of external nonsymmetric magnetostatic perturbations caused by resonant helical windings and a chaotic magnetic limiter on the plasma confined in a tokamak. The main purpose of both types of perturbation is to create a region in which field lines are chaotic in the Lagrangian sense: two initially nearby field lines diverge… (More)