Results 61 to 70 of about 308 (136)
Melnikov's Method and Codimension-Two Bifurcations in Forced Oscillations
Journal of Differential Equations, 2002 The author considers a periodic perturbation of a planar Hamiltonian system of the form \[ \dot{x}=JD_x H(x)+\epsilon g(x,\omega t;\mu),\qquad x\in \mathbb{R}^2. \] It is assumed that the unperturbed system has a one-parameter family of periodic orbits \(q^{\alpha}(t)\) analytic with respect to \(\alpha\).
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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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The application of nonlinear dynamics to ship roll and capsize [PDF]
, 2000 In this thesis we study a single degree of freedom model for ship roll motion. We model roll motion as a forced oscillator in a nonlinear potential well.
Cotton, Ben
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The Core Role, Challenges, and Future Trends of Stablecoins in DeFi Lending Platforms [PDF]
Decentralized finance (DeFi) lending platforms have rapidly evolved within financial markets, with stablecoins playing a pivotal role in these ecosystems by providing price stability and enhancing capital efficiency. However, DeFi lending platforms still
Ke, Deng
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On the Melnikov method for fractional-order systems
Chaos, Solitons & FractalsAccepted
Li, Hang +4 more
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Melnikov Integral Formula for Beam Sea Roll Motion Utilizing a Non-Hamiltonian Exact Heteroclinic Orbit (Part II) [PDF]
, 2019 In the research filed of nonlinear dynamical system theory it is well known that a homoclinic/heteroclinic point leads to unpredictable motions, such as chaos.
Maki, Atsuo +2 more
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Towards an Active Design. An Approach on the Body Interaction with the Built Environment. [PDF]
, 2013 El impacto de la tecnología en el ambiente construido y en las actividades en él desarrolladas, es una de las causas de la progresiva sedentarización de la especie humana.
Duarte Pereira Vitório, Marco Ruben
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Melnikov's method, stochastic layers and nonintegrability of a perturbed Duffing-oscillator [PDF]
, 1992 Perko, L. M.
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Buckled MEMS Beams for Energy Harvesting from Low Frequency Vibrations. [PDF]
Research (Wash D C), 2019 Xu R, Akay H, Kim SG.
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