Edit Profile Georgiou, Ioannis T. Compute Distance To: Compute Author ID: georgiou.ioannis-t Published as: Georgiou, I.; Georgiou, I. T.; Georgiou, Ioannis; Georgiou, Ioannis T. Documents Indexed: 12 Publications since 1996 Co-Authors 2 single-authored 4 Schwartz, Ira Bruce 3 Bajaj, Anil K. 3 Corless, Martin J. 1 Vakakis, Alexander F. 1 Xiros, Nikolaos I. all top 5 Serials 3 Nonlinear Dynamics 2 International Journal of Non-Linear Mechanics 1 International Journal of Engineering Science 1 Journal of Applied Mechanics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 SIAM Journal on Applied Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Applied Nonlinear Dynamics all top 5 Fields 6 Mechanics of particles and systems (70-XX) 5 Mechanics of deformable solids (74-XX) 4 Dynamical systems and ergodic theory (37-XX) 1 Ordinary differential equations (34-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 10 Publications have been cited 41 times in 32 Documents Cited by ▼ Year ▼ Dynamics of large scale coupled structural/ mechanical systems: A singular perturbation/ proper orthogonal decomposition approach. Zbl 0924.58080Georgiou, Ioannis T.; Schwartz, Ira B. 9 1999 On the global geometric structure of the dynamics of the elastic pendulum. Zbl 0963.70013Georgiou, Ioannis T. 8 1999 Dynamics of nonlinear structures with multiple equilibria: A singular perturbation-invariant manifold approach. Zbl 0958.70019Georgiou, Ioannis T.; Corless, Martin J.; Bajaj, Anil K. 5 1999 Advanced proper orthogonal decomposition tools: Using reduced order models to identify normal modes of vibration and slow invariant manifolds in the dynamics of planar nonlinear rods. Zbl 1142.74337Georgiou, Ioannis 4 2005 Invariant manifolds, nonclassical normal modes, and proper orthogonal modes in the dynamics of the flexible spherical pendulum. Zbl 1011.70021Georgiou, Ioannis T.; Schwartz, Ira B. 4 2001 An invariant manifold approach for studying waves in a one-dimensional array of nonlinear oscillators. Zbl 0906.70019Georgiou, Ioannis T.; Vakakis, Alexander F. 3 1996 Inariant manifolds and chaotic vibrations in singularly perturbed nonlinear oscillators. Zbl 1210.70020Georgiou, I. T.; Bajaj, A. K.; Corless, M. 2 1998 Slow and fast invariant manifolds, and normal modes in a two degree-of-freedom structural dynamical system with multiple equilibrium states. Zbl 0907.70012Georgiou, I. T.; Bajaj, A. K.; Corless, M. 2 1998 Slaving the in-plane motions of a nonlinear plate to its flexural motions: An invariant manifold approach. Zbl 0890.73036Georgiou, I. T.; Schwartz, I. B. 2 1997 The slow invariant manifold of a conservative pendulum-oscillator system. Zbl 0879.34050Georgiou, Ioannis T.; Schwartz, Ira B. 2 1996 Advanced proper orthogonal decomposition tools: Using reduced order models to identify normal modes of vibration and slow invariant manifolds in the dynamics of planar nonlinear rods. Zbl 1142.74337Georgiou, Ioannis 4 2005 Invariant manifolds, nonclassical normal modes, and proper orthogonal modes in the dynamics of the flexible spherical pendulum. Zbl 1011.70021Georgiou, Ioannis T.; Schwartz, Ira B. 4 2001 Dynamics of large scale coupled structural/ mechanical systems: A singular perturbation/ proper orthogonal decomposition approach. Zbl 0924.58080Georgiou, Ioannis T.; Schwartz, Ira B. 9 1999 On the global geometric structure of the dynamics of the elastic pendulum. Zbl 0963.70013Georgiou, Ioannis T. 8 1999 Dynamics of nonlinear structures with multiple equilibria: A singular perturbation-invariant manifold approach. Zbl 0958.70019Georgiou, Ioannis T.; Corless, Martin J.; Bajaj, Anil K. 5 1999 Inariant manifolds and chaotic vibrations in singularly perturbed nonlinear oscillators. Zbl 1210.70020Georgiou, I. T.; Bajaj, A. K.; Corless, M. 2 1998 Slow and fast invariant manifolds, and normal modes in a two degree-of-freedom structural dynamical system with multiple equilibrium states. Zbl 0907.70012Georgiou, I. T.; Bajaj, A. K.; Corless, M. 2 1998 Slaving the in-plane motions of a nonlinear plate to its flexural motions: An invariant manifold approach. Zbl 0890.73036Georgiou, I. T.; Schwartz, I. B. 2 1997 An invariant manifold approach for studying waves in a one-dimensional array of nonlinear oscillators. Zbl 0906.70019Georgiou, Ioannis T.; Vakakis, Alexander F. 3 1996 The slow invariant manifold of a conservative pendulum-oscillator system. Zbl 0879.34050Georgiou, Ioannis T.; Schwartz, Ira B. 2 1996 all cited Publications top 5 cited Publications all top 5 Cited by 75 Authors 2 Bergman, Lawrence A. 2 Cao, Qingjie 2 Golinval, Jean-Claude 2 Kerschen, Gaetan 2 Vakakis, Alexander F. 2 Wiercigroch, Marian 1 Alasty, Aria 1 Amabili, Marco 1 Bacigalupo, Andrea 1 Barrio, Roberto 1 Billings, Lora 1 Burov, Aleksandr Anatol’evich 1 Cao, Dunqian 1 Capeáns, Rubén 1 Celletti, Alessandra 1 Chen, Guanrong 1 Chen, Heng 1 Chen, Yushu 1 Chiavazzo, Eliodoro 1 Danca, Marius-Florin 1 Deng, Zichen 1 Feeny, Brian F. 1 Fiori, Simone 1 Forest, Samuel 1 Georgiou, Ioannis T. 1 Guan, Zhihong 1 Haller, George 1 Han, Ning 1 Horák, Martin 1 Hou, Lei 1 Hou, Xiuhui 1 Kosenko, Ivan Ivanovich 1 Kurt, Mehmet Necip 1 Lai, Yingcheng 1 Lee, Young Sup 1 Lepidi, Marco 1 Li, Guoqiang 1 Li, Juan 1 Liu, Feng 1 Lu, Kuan 1 Marhl, Marko 1 Mcfarland, D. Michael 1 Morgan, David S. 1 Perc, Matjaž 1 Płociniczak, Łukasz 1 Ponsioen, Sten 1 Quispel, Gilles Reinout Willem 1 Rega, Giuseppe 1 Ryckelynck, David 1 Sabuco, Juan 1 Sanjuán, Miguel A. F. 1 Schwartz, Ira Bruce 1 Serrano, Sergio E. 1 Shabani, Rasool 1 Sidorenko, Vladislav V. 1 Starosvetsky, Yuli 1 Thomas, Oliver 1 Touzé, Cyril 1 Troger, Hans 1 Tucker, Robin W. 1 Tuwankotta, Johan M. 1 Verichev, Nikolai N. 1 Verichev, Stanislav N. 1 Vorotnikov, Kirill 1 Wang, Fengxia 1 Wang, Yanwu 1 Wang, Zaihua 1 Wróblewska, Zofia 1 Yang, Qiqui 1 Yorke, James Alan 1 Yu, Hai 1 Zheng, YuanGuang 1 Zhou, Jiaxi 1 Zhou, Tianshou 1 Zhu, Zhonghua all top 5 Cited in 19 Serials 7 Nonlinear Dynamics 4 Chaos 2 Computer Methods in Applied Mechanics and Engineering 2 Chaos, Solitons and Fractals 2 Celestial Mechanics and Dynamical Astronomy 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 International Journal of Solids and Structures 1 Journal of Applied Mathematics and Mechanics 1 Journal of Computational Physics 1 Journal of Computational and Applied Mathematics 1 Applied Mathematics and Mechanics. (English Edition) 1 Physica D 1 Computational Mechanics 1 Archive of Applied Mechanics 1 Nonlinear Analysis. Real World Applications 1 Journal of Systems Science and Complexity 1 Science China. Technological Sciences 1 International Journal of Structural Stability and Dynamics 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 11 Fields 15 Ordinary differential equations (34-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 Mechanics of particles and systems (70-XX) 9 Mechanics of deformable solids (74-XX) 5 Numerical analysis (65-XX) 2 Systems theory; control (93-XX) 1 Combinatorics (05-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) Citations by Year