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Desynchronization by periodic orbits

Physical Review E, 1995
Synchronous 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
Thomas L. Carroll   +2 more
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Periodic Orbits

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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Compact orbits and periodicity

Nonlinear Analysis: Theory, Methods & Applications, 1984
Let X be a topological space satisfying the first axiom of countability and let \(f: X\to X\) be continuous. The author shows that any compact orbit A (in the sense of Kuratowski) contains a nonempty set Z consisting of all almost periodic points. Z is compact and invariant. For any \(x\in A\), the ''splinter'' \(S_ x=\{f^ n(x):\) \(n\in N\}\) is dense
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Regular and irregular periodic orbits

Celestial Mechanics and Dynamical Astronomy, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
E. Grousouzakou, George Contopoulos
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Applications of periodic-orbit theory

Chaos: An Interdisciplinary Journal of Nonlinear Science, 1992
The periodic-orbit theory of Gutzwiller is applied in various ways by using generalized periodic-orbit sum rules. Numerical evaluations are carried out for the hyperbola billiard, a strongly chaotic system. The most efficient semiclassical determination of quantum energies is achieved by a quantization condition, which is formulated in terms of a zeta ...
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Multiple Periodic Orbits in the Ring Problem: Families of Triple Periodic Orbits

Astrophysics and Space Science, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Periodic Orbits and Accretion Disks

Celestial Mechanics and Dynamical Astronomy, 1997
The motion of a small particle in a binary system where the radiation pressure is not negligible is considered. The photogravitational three-body problem is used as a model of formation of a disc by accretion. The author generalizes the method of \textit{Paczyńsky} [Astrophys. J.
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Periodic Orbits Near Homoclinic Orbits

1982
It is known that the orbit-structure of a dynamical system near a homoclinic orbit γ is extremely complicated. However, it is only recently that this complicated structure has begun to be understood. It has been shown (under some hypotheses) that, near γ there are infinitely many long periodic orbits. The flow, near γ, admits a singular Poincare map o:
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Spin-orbit torques: Materials, mechanisms, performances, and potential applications

Progress in Materials Science, 2021
, Ruiqi Zhang, Yunfeng You
exaly  

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