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Ballistic transport in nanodevices based on single-crystalline Cu thin films. [PDF]
Cho Y +9 more
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Dynamics of a discrete-time predator-prey model with exponential prey growth and saturated response. [PDF]
Emam HH, El-Metwally H, Hamada MY.
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Bifurcation analysis, modulation instability and dynamical analysis of soliton solutions for generalized (3 + 1)-dimensional nonlinear wave equation with m-fractional operator. [PDF]
Algolam MS +5 more
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Topological phase locking in stochastic oscillators. [PDF]
Chatzittofi M +2 more
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Celestial Mechanics, 1984
Recent results on periodic orbits are presented. Planetary systems can be studied by the model of the general 3-body problem and also some satellite systems and asteroid orbits can be studied by the model of the restricted 3-body problem. Triple stellar systems and planetary systems with two Suns are close to periodic systems.
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Recent results on periodic orbits are presented. Planetary systems can be studied by the model of the general 3-body problem and also some satellite systems and asteroid orbits can be studied by the model of the restricted 3-body problem. Triple stellar systems and planetary systems with two Suns are close to periodic systems.
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Desynchronization by periodic orbits
Physical Review E, 1995Synchronous chaotic behavior is often interrupted by bursts of desynchronized behavior. We investigate the role of unstable periodic orbits in bursting events and show that they serve as sources of local transverse instability within a synchronous chaotic attractor. Analysis of bursts in both model and experimental studies of two coupled R\"ossler-like
, Heagy, , Carroll, , Pecora
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Targeting unstable periodic orbits
Physical Review E, 1995Specific targeting of unstable periodic orbits has been achieved by using large-amplitude perturbations in a dynamical system. The method has been demonstrated experimentally on a ${\mathrm{CO}}_{2}$ laser with modulated losses whose unstable periodic orbits are created either at a period-doubling or at a saddle-node bifurcation.
, Chizhevsky, , Glorieux
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Periodic Orbits near equilibria
Communications on Pure and Applied Mathematics, 2010AbstractLyapunov, Weinstein, and Moser obtained remarkable theorems giving sufficient conditions for the existence of periodic orbits emanating from an equilibrium point of a differential system with a first integral. Using averaging theory, we establish a similar result for a differential system without assuming the existence of a first integral.
Barreira, Luis +2 more
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STABILIZING HIGHER PERIODIC ORBITS
International Journal of Bifurcation and Chaos, 1994In this paper, we consider stabilization of chaotic dynamical systems onto higher periodic orbits. We give a necessary and sufficient condition for using local linear state feedback control for this purpose. The control is achieved using small, bounded perturbations, and the method proposed is shown to be effective even in the presence of relatively ...
Paskota, M., Mees, A. I., Teo, K. L.
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Normal Form Invariants Around Spin-Orbit Periodic Orbits
Celestial Mechanics and Dynamical Astronomy, 2000The authors consider an oblate satellite orbiting a central planet with \(T_{\text{rev}}\) the period of revolution. The satellite rotates about an internal spin axis with rotational period \(T_{\text{rot}}\). A spin-orbit resonance occurs when the ratio \(T_{\text{rev}}/T_{\text{rot}}\) is a rational number.
CELLETTI, ALESSANDRA, Falcolini, C.
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