Results 101 to 110 of about 26,339 (212)
Transition Tori in the Planar Restricted Elliptic Three Body Problem
, 2011 We consider the elliptic three body problem as a perturbation of the circular problem. We show that for sufficiently small eccentricities of the elliptic problem, and for energies sufficiently close to the energy of the libration point L2, a Cantor set ...
Capinski, Maciej J., Zgliczynski, Piotr
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A Single and Double Mode Approach to Chaotic Vibrations of a Cylindrical Shell with Large Deflection
Shock and Vibration, 2004 The chaotic vibrations of a cylindrical shell of large deflection subjected to two-dimensional exertions are studied in the present research. The dynamic nonlinear governing equations of the cylindrical shell are derived on the basis of single and double
Liming Dai, Qiang Han, Mingzhe Dong
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The Melnikov method and Shilnikov bifurcations
, 2021 Ιn this master's thesis we shall see that the Poincaré sequences can reveal significant features of a system and that the appearance of fixed points is closely connected with periodic solutions. Poincaré maps can be used to detect underlying structure, such as periodic solutions having the forcing or a subharmonic frequency.
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Chaos prediction in nano-resonators based on nonlocal elasticity theory
MATEC Web of Conferences, 2018 By decreasing the thickness of micro- and nano- beams, classical continuum theory is not accurate to predict the static and dynamic response due to the absence of length scale parameter.
Nahvi Hassan, Maleki Mehdi
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The billiard inside an ellipse deformed by the curvature flow
, 2015 The billiard dynamics inside an ellipse is integrable. It has zero topological entropy, four separatrices in the phase space, and a continuous family of convex caustics: the confocal ellipses.
Carneiro, Mario J. Dias +2 more
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Abstract and Applied Analysis, 2014 The dynamics of the nonlinear Schrödinger equation with Kerr law nonlinearity with two perturbation terms are investigated. By using Melnikov method, the threshold values of chaotic motion under periodic perturbation are given. Moreover we also study the
Jiuli Yin, Liuwei Zhao, Lixin Tian
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An analytical study of transport, mixing and chaos in an unsteady vortical flow [PDF]
, 1990 We examine the transport properties of a particular two-dimensional, inviscid incompressible flow using dynamical systems techniques. The velocity field is time periodic and consists of the field induced by a vortex pair plus an oscillating strainrate ...
Leonard, A., Rom-Kedar, V., Wiggins, S.
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Next EnergyThe aim of this work is to enhance the understanding of the nonlinear dynamics of wind turbine blade oscillators. A novel in-plane and out-of-plane dynamic model of wind turbine blade oscillators (featuring Mathieu-Duffing oscillators) is proposed to ...
Bo Qin, Ying Zhang
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Curvatures of the Melnikov type, Hausdorff dimension, rectifiability, and singular integrals on R-n [PDF]
, 2000 One of the most fundamental steps leading to the solution of the analytic capacity problem ( for 1-sets) was the discovery by Melnikov of an identity relating the sum of permutations of products of the Cauchy kernel to the three-point Menger curvature ...
Farag, Hany M.
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On the Melnikov method for fractional-order systems
Chaos, Solitons & FractalsAccepted
Li, Hang +4 more
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