Bifurcation Analysis of a Vibro-Impact Viscoelastic Oscillator with Fractional Derivative Element
暂无分享,去创建一个
[1] M. Shitikova,et al. Application of Fractional Calculus for Dynamic Problems of Solid Mechanics: Novel Trends and Recent Results , 2010 .
[2] N. Sri Namachchivaya,et al. Stochastic dynamics of impact oscillators , 2005 .
[3] Changpin Li,et al. On Finite Part Integrals and Hadamard-Type Fractional Derivatives , 2018, Journal of Computational and Nonlinear Dynamics.
[4] Liam A. Comerford,et al. Incomplete data based parameter identification of nonlinear and time-variant oscillators with fractional derivative elements , 2017 .
[5] Wei Xu,et al. Stationary response of nonlinear system with Caputo-type fractional derivative damping under Gaussian white noise excitation , 2015 .
[6] Xiaoling Jin,et al. Response and stability of a SDOF strongly nonlinear stochastic system with light damping modeled by a fractional derivative , 2009 .
[7] Jinqian Feng,et al. Stochastic responses of vibro-impact duffing oscillator excited by additive Gaussian noise , 2008 .
[8] Sayan Gupta,et al. Stochastic bifurcations in a vibro-impact Duffing–Van der Pol oscillator , 2016 .
[9] Wei-Qiu Zhu,et al. Response of MDOF strongly nonlinear systems to fractional Gaussian noises. , 2016, Chaos.
[10] YangQuan Chen,et al. Fractional order control - A tutorial , 2009, 2009 American Control Conference.
[11] Van-Du Nguyen,et al. The effect of inertial mass and excitation frequency on a Duffing vibro-impact drifting system , 2017 .
[12] Changpin Li,et al. ON HADAMARD FRACTIONAL CALCULUS , 2017 .
[13] Changpin Li,et al. Center Manifold of Fractional Dynamical System , 2016 .
[14] Antonina Pirrotta,et al. Approximate analytical mean-square response of an impacting stochastic system oscillator with fractional damping , 2017 .
[15] Sayan Gupta,et al. Bifurcation analysis of a stochastically excited vibro-impact Duffing-Van der Pol oscillator with bilateral rigid barriers , 2017 .
[16] F. Mainardi,et al. Recent history of fractional calculus , 2011 .
[17] I. N. Sinitsyn. Fluctuations of a gyroscope in a gimbal mount , 1976 .
[18] Haiwu Rong,et al. Stochastic responses of Duffing-Van der Pol vibro-impact system under additive and multiplicative random excitations , 2009 .
[19] D. V. Iourtchenko,et al. Random Vibrations with Impacts: A Review , 2004 .
[20] Wei Xu,et al. Stochastic bifurcations in the nonlinear vibroimpact system with fractional derivative under random excitation , 2017, Commun. Nonlinear Sci. Numer. Simul..
[21] G. Cai,et al. Random vibration of viscoelastic system under broad-band excitations , 2011 .
[22] Y. L. Zhang,et al. Double Neimark Sacker bifurcation and torus bifurcation of a class of vibratory systems with symmetrical rigid stops , 2006 .
[23] Xiaoling Jin,et al. Random vibration with inelastic impact: equivalent nonlinearization technique , 2014 .
[24] H. Zhu,et al. Stochastic response of a vibro-impact Duffing system under external Poisson impulses , 2015 .
[25] Fanhai Zeng,et al. Numerical Methods for Fractional Calculus , 2015 .
[26] Q. Ling,et al. Response and stability of SDOF viscoelastic system under wideband noise excitations , 2011, J. Frankl. Inst..
[27] Lu Liu,et al. A review and evaluation of numerical tools for fractional calculus and fractional order controls , 2015, Int. J. Control.
[28] S. Narayanan,et al. Investigations on the bifurcation of a noisy Duffing–Van der Pol oscillator , 2016 .
[29] Wei Xu,et al. Bifurcation analysis of a noisy vibro-impact oscillator with two kinds of fractional derivative elements. , 2018, Chaos.
[30] D. V. Iourtchenko,et al. Numerical investigation of a response probability density function of stochastic vibroimpact systems with inelastic impacts , 2006 .
[31] Alberto Di Matteo,et al. Fractional viscoelastic behaviour under stochastic temperature process , 2017, Probabilistic Engineering Mechanics.
[32] Lu Liu,et al. A review and evaluation of numerical tools for fractional calculus and fractional order control , 2015, ArXiv.
[33] Mario di Bernardo,et al. Sliding bifurcations: a Novel Mechanism for the Sudden Onset of Chaos in dry Friction oscillators , 2003, Int. J. Bifurc. Chaos.
[34] Pol D. Spanos,et al. Nonlinear random vibrations of plates endowed with fractional derivative elements , 2017, Probabilistic Engineering Mechanics.
[35] M. Shitikova,et al. Applications of Fractional Calculus to Dynamic Problems of Linear and Nonlinear Hereditary Mechanics of Solids , 1997 .