Results 31 to 40 of about 1,473,692 (365)
Optimal Stabilization of Periodic Orbits
IFAC-PapersOnLine, 2023 Submitted for a journal on November 29 ...
Beck, Fabian, Sakamoto, Noboru
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Linear instability of periodic orbits of free period Lagrangian systems
Electronic Research Archive, 2022 Minimizing closed geodesics on surfaces are linearly unstable. By starting with this classical Poincaré's instability result, in the present paper we prove a result that allows to deduce the linear instability of periodic solutions of autonomous ...
Alessandro Portaluri, Li Wu , Ran Yang
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Families of Periodic Delay Orbits
Journal of Differential Equations, 2023 21 pages, 11 ...
Peter Albers +2 more
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Bifurcations of a Homoclinic Orbit to Saddle-Center in Reversible Systems
Abstract and Applied Analysis, 2012 The bifurcations near a primary homoclinic orbit to a saddle-center are investigated in a 4-dimensional reversible system. By establishing a new kind of local moving frame along the primary homoclinic orbit and using the Melnikov functions, the existence
Zhiqin Qiao, Yancong Xu
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Global orbit of a complicated nonlinear system with the global dynamic frequency method
Journal of Low Frequency Noise, Vibration and Active Control, 2021 Global orbits connect the saddle points in an infinite period through the homoclinic and heteroclinic types of manifolds. Different from the periodic movement analysis, it requires special strategies to obtain expression of the orbit and detect the ...
Zhixia Wang +3 more
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Periodic-orbit theory of anderson localization on graphs [PDF]
Physical Review Letters, 1999 We present the first quantum system where Anderson localization is completely described within periodic-orbit theory. The model is a quantum graph analogous to an aperiodic Kronig-Penney model in one dimension. The exact expression for the probability to
Schanz, Smilansky
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Periodic orbits in warped disks [PDF]
Astronomy & Astrophysics, 2001 It is often assumed that a warped galaxy can be modeled by a set of rings. This paper verifies numerically the validity of this assumption by the study of periodic orbits populating a heavy self-gravitating warped disk. The phase space structure of a warped model reveals that the circular periodic orbits of a flat disk are transformed in quasi annular ...
Yves Revaz, Daniel Pfenniger
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Abstract and Applied Analysis, 2013 This paper is mainly concerned with the existence, stability, and bifurcations of periodic solutions of a certain scalar impulsive differential equations on Moebius stripe.
Yefeng He, Yepeng Xing
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Resonant Homoclinic Flips Bifurcation in Principal Eigendirections
Abstract and Applied Analysis, 2013 A codimension-4 homoclinic bifurcation with one orbit flip and one inclination flip at principal eigenvalue direction resonance is considered. By introducing a local active coordinate system in some small neighborhood of homoclinic orbit, we get the ...
Tiansi Zhang, Xiaoxin Huang, Deming Zhu
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Data-Driven Stabilization of Periodic Orbits
IEEE Access, 2021 Periodic orbits are among the simplest non-equilibrium solutions to dynamical systems, and they play a significant role in our modern understanding of the rich structures observed in many systems. For example, it is known that embedded within any chaotic
Jason J. Bramburger +2 more
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