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  • Search: subject:"Robust tori"
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Robust tori 4 Chaos 2 Hamiltonian system 2 Transport barriers 2 Bifurcation 1 Double-gyre flow 1 Isochronous resonances 1 Lagrangian coherent structures 1 Non-linear map 1 Non-linear waves 1 Nonlinearities 1 Stability distributions 1
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Caldas, I.L. 3 Egydio de Carvalho, R. 3 Martins, C.G.L. 2 Roberto, M. 2 Carvalho, R. Egydio de 1 Favaro, G.M. 1 Marcus, F.A. 1 Martins, Caroline G.L. 1 Oliveira, Luis C. de 1
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Physica A: Statistical Mechanics and its Applications 4
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Robust tori-like Lagrangian coherent structures
Oliveira, Luis C. de; Martins, Caroline G.L.; Roberto, M.; … - In: Physica A: Statistical Mechanics and its Applications 391 (2012) 24, pp. 6611-6616
barriers, called robust tori that block the trajectories in certain regions of the phase space. We used the Double-Gyre Flow … system as the model. In this system, the robust tori play the role of a skeleton for the dynamics and block, horizontally …
Persistent link: https://www.econbiz.de/10011062698
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Plasma confinement in tokamaks with robust torus
Martins, C.G.L.; Egydio de Carvalho, R.; Caldas, I.L.; … - In: Physica A: Statistical Mechanics and its Applications 390 (2011) 5, pp. 957-962
We present a non-linear symplectic map that describes the alterations of the magnetic field lines inside the tokamak plasma due to the presence of a robust torus (RT) at the plasma edge. This RT prevents the magnetic field lines from reaching the tokamak wall and reduces, in its vicinity, the...
Persistent link: https://www.econbiz.de/10010591547
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Robust tori in a double-waved Hamiltonian model
Martins, C.G.L.; Marcus, F.A.; Caldas, I.L.; Egydio de … - In: Physica A: Statistical Mechanics and its Applications 389 (2010) 23, pp. 5511-5514
A Hamiltonian system perturbed by two waves with particular wave numbers can present robust tori, which are barriers … created by the vanishing of the perturbed Hamiltonian at some defined positions. When robust tori exist, any trajectory in … indicate that the considered particular solution for the two waves Hamiltonian model shows plenty of robust tori blocking …
Persistent link: https://www.econbiz.de/10010591626
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The defocusing mechanism of isochronous resonances
Carvalho, R. Egydio de; Favaro, G.M. - In: Physica A: Statistical Mechanics and its Applications 350 (2005) 2, pp. 173-182
of two permanent robust tori. The process is initialized and concluded through bifurcations of fixed points located on … the robust tori. Our approach is based on a Hamiltonian system derived from the resonant normal form. Choosing a …
Persistent link: https://www.econbiz.de/10010872462
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