Circuit implementation of a piezoelectric buckled beam and its response under fractional components considerations

[1]  C. Nono Dueyou Buckjohn,et al.  Nonlinear analysis and analog simulation of a piezoelectric buckled beam with fractional derivative , 2017 .

[2]  Grzegorz Litak,et al.  Stochastic P-bifurcation and stochastic resonance in a noisy bistable fractional-order system , 2016, Commun. Nonlinear Sci. Numer. Simul..

[3]  M. Siewe Siewe,et al.  Probabilistic behavior analysis of a sandwiched buckled beam under Gaussian white noise with energy harvesting perspectives , 2016 .

[4]  Luigi Fortuna,et al.  Nonideal Behavior of Analog Multipliers for Chaos Generation , 2016, IEEE Transactions on Circuits and Systems II: Express Briefs.

[5]  YangQuan Chen,et al.  Fractional Order Model of Broadband Piezoelectric Energy Harvesters , 2015 .

[6]  Daniel J. Inman,et al.  Chaos in the fractionally damped broadband piezoelectric energy generator , 2015 .

[7]  Daniel J. Inman,et al.  Regular and chaotic vibration in a piezoelectric energy harvester with fractional damping , 2015 .

[8]  H. A. Kim,et al.  Experimental analysis of the dynamical response of energy harvesting devices based on bistable laminated plates , 2015, Meccanica.

[9]  D. Guyomar,et al.  Energy harvesting based on piezoelectric Ericsson cycles in a piezoceramic material , 2014, 2014 Joint IEEE International Symposium on the Applications of Ferroelectric, International Workshop on Acoustic Transduction Materials and Devices & Workshop on Piezoresponse Force Microscopy.

[10]  Grzegorz Litak,et al.  Chaotic vibrations of the duffing system with fractional damping. , 2014, Chaos.

[11]  Haiyan Hu,et al.  Measuring memory with the order of fractional derivative , 2013, Scientific Reports.

[12]  Jinde Cao,et al.  Approximate expressions of a fractional order Van der Pol oscillator by the residue harmonic balance method , 2013, Math. Comput. Simul..

[13]  G. Kotliar,et al.  Fractional power-law behavior and its origin in iron-chalcogenide and ruthenate superconductors: Insights from first-principles calculations , 2012, 1206.0801.

[14]  Marco Ferrari,et al.  Piezoelectric buckled beams for random vibration energy harvesting , 2012 .

[15]  Zhongjin Guo,et al.  The residue harmonic balance for fractional order van der Pol like oscillators , 2012 .

[16]  S. Das Functional Fractional Calculus , 2011 .

[17]  Jingjiao Li,et al.  Fractional-order PID controller tuning based on genetic algorithm , 2011, 2011 International Conference on Business Management and Electronic Information.

[18]  Luis Vázquez,et al.  From Newton's Equation to Fractional Diffusion and Wave Equations , 2011 .

[19]  F. Mainardi,et al.  Recent history of fractional calculus , 2011 .

[20]  Georg A. Gottwald,et al.  On the validity of the 0–1 test for chaos , 2009, 0906.1415.

[21]  Georg A. Gottwald,et al.  On the Implementation of the 0-1 Test for Chaos , 2009, SIAM J. Appl. Dyn. Syst..

[22]  A. Fairhall,et al.  Fractional differentiation by neocortical pyramidal neurons , 2008, Nature Neuroscience.

[23]  Sébastien Pruvost,et al.  Energy harvesting based on Ericsson pyroelectric cycles in a relaxor ferroelectric ceramic , 2008 .

[24]  J. A. Tenreiro Machado,et al.  Fractional Order PDαJoint Control of Legged Robots , 2006 .

[25]  Rosario N. Mantegna,et al.  Stochastic resonance in magnetic systems described by Preisach hysteresis model , 2005 .

[26]  Om P. Agrawal,et al.  Application of Fractional Derivatives in Thermal Analysis of Disk Brakes , 2004 .

[27]  Lokenath Debnath,et al.  A brief historical introduction to fractional calculus , 2004 .

[28]  Hilaire Bertrand Fotsin,et al.  Analog simulation of the dynamics of a van der Pol oscillator coupled to a Duffing oscillator , 2001 .

[29]  Johan Scholliers,et al.  Simulation of mechatronic systems using analog circuit simulation tools , 1995, Proceedings of 1995 IEEE International Conference on Robotics and Automation.

[30]  S. Westerlund,et al.  Capacitor theory , 1994 .

[31]  G. Prasad,et al.  Piezoelectric relaxation in polymer and ferroelectric composites , 1993 .

[32]  F. Verhulst,et al.  Averaging Methods in Nonlinear Dynamical Systems , 1985 .

[33]  Liu Fractal model for the ac response of a rough interface. , 1985, Physical review letters.

[34]  R. Koeller Applications of Fractional Calculus to the Theory of Viscoelasticity , 1984 .

[35]  Michael Stiassnie,et al.  On the application of fractional calculus for the formulation of viscoelastic models , 1979 .

[36]  Frank Carlin Weimer,et al.  Linear Control System Analysis and Design, Conventional and Modern , 1978 .

[37]  D. Cahill,et al.  High Power Density Pyroelectric Energy Conversion in Nanometer-Thick BaTiO 3 Films , 2016 .

[38]  M. Friswell,et al.  Regular and chaotic vibration in a piezoelectric energy harvester , 2016 .

[39]  T. Kaczorek,et al.  Fractional Differential Equations , 2015 .

[40]  J. A. Tenreiro Machado,et al.  A Poster about the Old History of Fractional Calculus , 2010 .

[41]  Maria da Graça Marcos,et al.  Some Applications of Fractional Calculus in Engineering , 2010 .

[42]  R. Feynman,et al.  RECENT APPLICATIONS OF FRACTIONAL CALCULUS TO SCIENCE AND ENGINEERING , 2003 .

[43]  D. Jordan,et al.  Nonlinear Ordinary Differential Equations: An Introduction for Scientists and Engineers , 1977 .