Edit Profile (opens in new tab) Burton, Thomas D. Compute Distance To: Compute Author ID: burton.thomas-d Published as: Burton, T. D.; Burton, Thomas D. Documents Indexed: 21 Publications since 1978 Co-Authors: 10 Co-Authors with 9 Joint Publications 161 Co-Co-Authors all top 5 Co-Authors 4 single-authored 3 Hamdan, M. N. 2 Stock, David E. 2 Wang, Lianping 2 Whitman, Alan M. 1 Barhorst, Alan A. 1 Butcher, Eric A. 1 Chatterjee, Sankar 1 Maxey, Martin R. 1 Meekangvan, Preeda 1 Schovanec, Lawrence 1 Sevostianov, Igor 1 Zeller, Lavern D. all top 5 Serials 9 Journal of Sound and Vibration 3 International Journal of Non-Linear Mechanics 2 Journal of Applied Mechanics 2 Physics of Fluids, A 1 International Journal of Engineering Science 1 International Journal for Numerical Methods in Engineering 1 Mechanics Research Communications 1 Nonlinear Dynamics 1 Journal of Theoretical Biology all top 5 Fields 17 Mechanics of particles and systems (70-XX) 4 Ordinary differential equations (34-XX) 4 Mechanics of deformable solids (74-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 15 Publications have been cited 80 times in 66 Documents Cited by ▼ Year ▼ Chaotic dynamics of particle dispersion in fluids. Zbl 0753.76184Wang, L. P.; Maxey, M. R.; Burton, T. D.; Stock, D. E. 17 1992 On the multi-scale analysis of strongly nonlinear forced oscillators. Zbl 0583.70016Burton, T. D.; Rahman, Z. 15 1986 A perturbation method for certain nonlinear oscillators. Zbl 0564.70024Burton, T. D. 12 1984 Non-linear oscillator limit cycle analysis using a time transformation approach. Zbl 0499.70031Burton, Thomas D. 8 1982 Large amplitude primary and superharmonic resonances in the Duffing oscillator. Zbl 1235.70100Rahman, Z.; Burton, T. D. 5 1986 On higher order methods of multiple scales in non-linear oscillations-periodic steady state response. Zbl 1235.70099Rahman, Z.; Burton, T. D. 4 1989 On the amplitude decay of strongly nonlinear damped oscillators. Zbl 0565.70028Burton, T. D. 4 1983 Analysis of nonlinear autonomous conservative oscillators by a time transformation method. Zbl 0562.70024Burton, T. D.; Hamdan, M. N. 4 1983 Numerical calculation of nonlinear normal modes in structural systems. Zbl 1187.70040Burton, Thomas D. 3 2007 On the separation of internal and boundary damage from combined measurements of electrical conductivity and vibration frequencies. Zbl 1213.74276Butcher, Eric A.; Sevostianov, Igor; Burton, Thomas 3 2008 On the steady state response and stability of non-linear oscillators using harmonic balance. Zbl 0925.70257Hamdan, M. N.; Burton, T. D. 3 1993 Chaotic dynamics of heavy particle dispersion: Fractal dimension versus dispersion coefficients. Zbl 0709.76059Wang, Lian-Ping; Burton, Thomas D.; Stock, David E. 2 1990 Analysis of forced non-linear undamped oscillators by a time transformation method. Zbl 1235.70088Hamdan, M. N.; Burton, T. D. 1 1986 Extraneous solutions predicted by the harmonic balance method. Zbl 1237.70077Hassan, A.; Burton, T. D. 1 1995 Finite element analysis of nonlinear oscillators. Zbl 0566.70026Krishnamurthy, K.; Burton, Thomas D.; Zeller, Lavern D. 1 1985 On the separation of internal and boundary damage from combined measurements of electrical conductivity and vibration frequencies. Zbl 1213.74276Butcher, Eric A.; Sevostianov, Igor; Burton, Thomas 3 2008 Numerical calculation of nonlinear normal modes in structural systems. Zbl 1187.70040Burton, Thomas D. 3 2007 Extraneous solutions predicted by the harmonic balance method. Zbl 1237.70077Hassan, A.; Burton, T. D. 1 1995 On the steady state response and stability of non-linear oscillators using harmonic balance. Zbl 0925.70257Hamdan, M. N.; Burton, T. D. 3 1993 Chaotic dynamics of particle dispersion in fluids. Zbl 0753.76184Wang, L. P.; Maxey, M. R.; Burton, T. D.; Stock, D. E. 17 1992 Chaotic dynamics of heavy particle dispersion: Fractal dimension versus dispersion coefficients. Zbl 0709.76059Wang, Lian-Ping; Burton, Thomas D.; Stock, David E. 2 1990 On higher order methods of multiple scales in non-linear oscillations-periodic steady state response. Zbl 1235.70099Rahman, Z.; Burton, T. D. 4 1989 On the multi-scale analysis of strongly nonlinear forced oscillators. Zbl 0583.70016Burton, T. D.; Rahman, Z. 15 1986 Large amplitude primary and superharmonic resonances in the Duffing oscillator. Zbl 1235.70100Rahman, Z.; Burton, T. D. 5 1986 Analysis of forced non-linear undamped oscillators by a time transformation method. Zbl 1235.70088Hamdan, M. N.; Burton, T. D. 1 1986 Finite element analysis of nonlinear oscillators. Zbl 0566.70026Krishnamurthy, K.; Burton, Thomas D.; Zeller, Lavern D. 1 1985 A perturbation method for certain nonlinear oscillators. Zbl 0564.70024Burton, T. D. 12 1984 On the amplitude decay of strongly nonlinear damped oscillators. Zbl 0565.70028Burton, T. D. 4 1983 Analysis of nonlinear autonomous conservative oscillators by a time transformation method. Zbl 0562.70024Burton, T. D.; Hamdan, M. N. 4 1983 Non-linear oscillator limit cycle analysis using a time transformation approach. Zbl 0499.70031Burton, Thomas D. 8 1982 all cited Publications top 5 cited Publications all top 5 Cited by 121 Authors 3 Druzhinin, O. A. 3 Nagarajaiah, Satish 3 Zou, Keguan 2 Al-Qaisia, Ahmad A. 2 Bar-Ziv, Ezra 2 Cammarano, Andrea 2 Du, Hai-En 2 Elliott, A. J. 2 Er, Guokang 2 Hill, Thomas L. 2 Iu, Vai Pan 2 Kovacic, Ivana 2 Luo, Albert C. J. 2 Marinca, Vasile 2 Maxey, Martin R. 2 Mograbi, Elaad 2 Neild, Simon A. 2 Pavliotis, Grigorios A. 2 Stuart, Andrew M. 2 Wagg, David J. 2 Xu, Yong 1 Aal, Mohammad Abdel 1 Aal, Osama F. Abdel 1 Abatan, Adetola A. 1 Abd El-Latif, G. M. 1 Al-Shudeifat, Mohammad A. 1 Angilella, Jean-Régis 1 Antonsen, Thomas M. jun. 1 Attar, Peter J. 1 Avramov, Konstantin V. 1 Baik, Jong-Jin 1 Băleanu, Dumitru I. 1 Brennan, Michael J. 1 Burton, Thomas D. 1 Butcher, Eric A. 1 Chevray, Rene 1 Citterio, Maurizio G. 1 Cveticanin, Livija 1 Dai, Honghua 1 Dai, Shiqiang 1 Doust, Mohammad Hossein Rahmani 1 Drăgănescu, Gh. E. 1 Dutta, Pradip 1 Escauriaza, Cristian 1 Farajzadeh, Ali P. 1 Fesanghary, Mohammad 1 Gañán-Calvo, Alfonso M. 1 Gatti, Gianluca 1 Ge, Gen 1 Gusso, Andre 1 Haghighifar, Faranak 1 Haller, George 1 Hamdan, M. N. 1 Han, Ray P. S. 1 He, Ji-Huan 1 Herişanu, Nicolae 1 Hu, Hui 1 Huang, Jianzhe 1 Huo, Linchun 1 Jézéquel, Louis 1 Jones, Christopher K. R. T. 1 Kalmár-Nagy, Tamás 1 Kang, Shin Min 1 Lasheras, Juan Carlos 1 Lee, Sunhong 1 Lelkes, János 1 Li, Longyuan 1 Li, Yongge 1 Liu, Di 1 Liu, Zeqing 1 Luo, Yingshe 1 Mahmoud, Gamal M. 1 Mason, David Paul 1 Mccarthy, Joseph J. 1 Mingari Scarpello, Giovanni 1 Moremedi, G. M. 1 Namenson, Arthur I. 1 Nayfeh, Ali Hasan 1 Neĭshtadt, Anatoliĭ Iserovich 1 Omurtag, A. C. 1 Ostrovskii, L. A. 1 Ott, Edward 1 Ozcelik, Orhan 1 Pimentel, Jéssica D. 1 Pirbodaghi, Tohid 1 Ritelli, Daniele 1 Rubin, Jonathan E. 1 Ryu, Young-Hee 1 Sadeghi, Ali A. 1 Schöchtel, Georg 1 Shidfar, Abdullah 1 Sinou, Jean-Jacques 1 Sotiropoulos, Fotis 1 Stepanyants, Yury A. 1 Stock, David E. 1 Sun, Pizhong 1 Sun, Shixian 1 Sun, Weipeng 1 Sun, Zhongkui 1 Talamo, Rodolfo ...and 21 more Authors all top 5 Cited in 31 Serials 11 Nonlinear Dynamics 6 Physics of Fluids 4 Applied Mathematics and Mechanics. (English Edition) 4 Physica D 3 Acta Mechanica 3 Applied Mathematics and Computation 3 Meccanica 3 Communications in Nonlinear Science and Numerical Simulation 2 Journal of the Franklin Institute 2 Physics of Fluids, A 2 Applied Mathematical Modelling 2 Abstract and Applied Analysis 2 Chaos 1 International Journal of Modern Physics B 1 Journal of Computational Physics 1 Journal of Fluid Mechanics 1 Physica A 1 Quaestiones Mathematicae 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Acta Mechanica Sinica. (English Edition) 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science 1 Mathematical Problems in Engineering 1 Journal of Vibration and Control 1 Nonlinear Analysis. Real World Applications 1 Archives of Computational Methods in Engineering 1 Dynamical Systems 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Granular Matter 1 Journal of Applied Nonlinear Dynamics all top 5 Cited in 15 Fields 28 Ordinary differential equations (34-XX) 20 Mechanics of particles and systems (70-XX) 16 Fluid mechanics (76-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 Mechanics of deformable solids (74-XX) 5 Numerical analysis (65-XX) 3 Probability theory and stochastic processes (60-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Partial differential equations (35-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Citations by Year