Edit Profile (opens in new tab) Goodman, Roy H. Co-Author Distance Author ID: goodman.roy-h Published as: Goodman, Roy H.; Goodman, R. H.; Goodman, Roy more...less Documents Indexed: 32 Publications since 1981, including 4 Additional arXiv Preprints Co-Authors: 22 Co-Authors with 22 Joint Publications 850 Co-Co-Authors all top 5 Co-Authors 6 single-authored 6 Weinstein, Michael I. 4 Adriazola, Jimmie 3 Holmes, Philip J. 2 Bławzdziewicz, Jerzy 2 Haberman, Richard 2 Kevrekidis, Panayotis G. 2 Marzuola, Jeremy Louis 2 Wróbel, Jacek K. 2 Young, Yuan-Nan 1 Abdul-Khaliq, A. 1 Behring, Brandon M. 1 Bellanich, Michael J. 1 Carretero-González, Ricardo 1 Conte, Grace 1 Cristini, Vittorio 1 Ditkowski, Adi 1 Faver, Timothy E. 1 Fibich, Gadi 1 Kairzhan, Adilbek 1 Kazadi, Sanza 1 Khurana, N. 1 Majda, Andrew J. 1 McLaughlin, David W. 1 Morrison, Catherine N. 1 Pelinovsky, Dmitry Efimovich 1 Porfiri, Maurizio 1 Rahman, Aminur 1 Sagiv, Amir 1 Slusher, R. E. 1 Wajnryb, Eligiusz 1 Wright, J. Douglas all top 5 Serials 7 Physica D 3 SIAM Journal on Applied Dynamical Systems 2 SIAM Journal on Applied Mathematics 2 Discrete and Continuous Dynamical Systems 2 Chaos 2 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Fluid Mechanics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Computing 1 Robotics and Autonomous Systems 1 SIAM Review 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science 1 Journal of Physics A: Mathematical and Theoretical 1 Mathematics in Engineering all top 5 Fields 18 Partial differential equations (35-XX) 13 Dynamical systems and ergodic theory (37-XX) 6 Numerical analysis (65-XX) 6 Optics, electromagnetic theory (78-XX) 4 Fluid mechanics (76-XX) 3 Ordinary differential equations (34-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-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 Open 25 Publications have been cited 290 times in 216 Documents Cited by ▼ Year ▼ Strong NLS soliton-defect interactions. Zbl 1061.35132 Goodman, Roy H.; Holmes, Philip J.; Weinstein, Michael I. 64 2004 Kink-antikink collisions in the \(\phi^4\) equation: the \(n\)-bounce resonance and the separatrix map. Zbl 1145.74370 Goodman, Roy H.; Haberman, Richard 44 2005 Nonlinear propagation of light in one-dimensional periodic structures. Zbl 1005.78011 Goodman, R. H.; Weinstein, M. I.; Holmes, P. J. 32 2001 Interaction of sine-Gordon kinks with defects: Phase space transport in a two-mode model. Zbl 0985.35074 Goodman, Roy H.; Holmes, Philip J.; Weinstein, Michael I. 28 2002 Interaction of sine-Gordon kinks with defects: the two-bounce resonance. Zbl 1060.35124 Goodman, Roy H.; Haberman, Richard 21 2004 Chaotic scattering in solitary wave interactions: a singular iterated-map description. Zbl 1307.35011 Goodman, Roy H. 16 2008 Drift of spectrally stable shifted states on star graphs. Zbl 1435.35401 Kairzhan, Adilbek; Pelinovsky, Dmitry E.; Goodman, Roy H. 10 2019 NLS bifurcations on the bowtie combinatorial graph and the Dumbbell metric graph. Zbl 1410.35266 Goodman, Roy H. 10 2019 High-order bisection method for computing invariant manifolds of two-dimensional maps. Zbl 1248.65026 Goodman, Roy H.; Wróbel, Jacek K. 9 2011 Hamiltonian Hopf bifurcations and dynamics of NLS/GP standing-wave modes. Zbl 1234.35030 Goodman, Roy 9 2011 High-order adaptive method for computing two-dimensional invariant manifolds of three-dimensional maps. Zbl 1277.65110 Wróbel, Jacek K.; Goodman, Roy H. 9 2013 Dynamics of vortex dipoles in anisotropic Bose-Einstein condensates. Zbl 1319.34080 Goodman, Roy H.; Kevrekidis, P. G.; Carretero-González, R. 7 2015 Solitary waves in mass-in-mass lattices. Zbl 1477.37084 Faver, Timothy E.; Goodman, Roy H.; Wright, J. Douglas 7 2020 Trapping light with grating defects. Zbl 1104.78008 Goodman, R. H.; Slusher, R. E.; Weinstein, M. I.; Klaus, M. 5 2005 Stability and instability of nonlinear defect states in the coupled mode equations-analytical and numerical study. Zbl 1153.78325 Goodman, Roy H.; Weinstein, Michael I. 5 2008 Hysteretic and chaotic dynamics of viscous drops in creeping flows with rotation. Zbl 1145.76349 Young, Y.-N.; Bławzdziewicz, J.; Cristini, V.; Goodman, R. H. 5 2008 A mechanical analog of the two-bounce resonance of solitary waves: modeling and experiment. Zbl 1374.70015 Goodman, Roy H.; Rahman, Aminur; Bellanich, Michael J.; Morrison, Catherine N. 5 2015 Self-trapping and Josephson tunneling solutions to the nonlinear Schrödinger / Gross-Pitaevskii equation. Zbl 1304.35638 Goodman, Roy H.; Marzuola, Jeremy L.; Weinstein, Michael I. 5 2015 On the convergence of puck clustering systems. Zbl 1013.68259 Kazadi, S.; Abdul-Khaliq, A.; Goodman, R. 3 2002 Some models of error in floating point multiplication. Zbl 0456.68052 Goodman, R. 2 1981 Bifurcations of relative periodic orbits in NLS/GP with a triple-well potential. Zbl 1378.35277 Goodman, Roy H. 2 2017 Modulations in the leading edges of midlatitude storm tracks. Zbl 0989.86007 Goodman, R. H.; Majda, A. J.; McLaughlin, D. W. 1 2001 Nonlinear hydrodynamic phenomena in Stokes flow regime. Zbl 1193.37111 Blawzdziewicz, J.; Goodman, R. H.; Khurana, N.; Wajnryb, E.; Young, Y.-N. 1 2010 Topological features determining the error in the inference of networks using transfer entropy. Zbl 1524.62019 Goodman, Roy H.; Porfiri, Maurizio 1 2020 Efficient manipulation of Bose-Einstein condensates in a double-well potential. Zbl 1517.35199 Adriazola, Jimmie; Goodman, Roy; Kevrekidis, Panayotis 1 2023 Efficient manipulation of Bose-Einstein condensates in a double-well potential. Zbl 1517.35199 Adriazola, Jimmie; Goodman, Roy; Kevrekidis, Panayotis 1 2023 Solitary waves in mass-in-mass lattices. Zbl 1477.37084 Faver, Timothy E.; Goodman, Roy H.; Wright, J. Douglas 7 2020 Topological features determining the error in the inference of networks using transfer entropy. Zbl 1524.62019 Goodman, Roy H.; Porfiri, Maurizio 1 2020 Drift of spectrally stable shifted states on star graphs. Zbl 1435.35401 Kairzhan, Adilbek; Pelinovsky, Dmitry E.; Goodman, Roy H. 10 2019 NLS bifurcations on the bowtie combinatorial graph and the Dumbbell metric graph. Zbl 1410.35266 Goodman, Roy H. 10 2019 Bifurcations of relative periodic orbits in NLS/GP with a triple-well potential. Zbl 1378.35277 Goodman, Roy H. 2 2017 Dynamics of vortex dipoles in anisotropic Bose-Einstein condensates. Zbl 1319.34080 Goodman, Roy H.; Kevrekidis, P. G.; Carretero-González, R. 7 2015 A mechanical analog of the two-bounce resonance of solitary waves: modeling and experiment. Zbl 1374.70015 Goodman, Roy H.; Rahman, Aminur; Bellanich, Michael J.; Morrison, Catherine N. 5 2015 Self-trapping and Josephson tunneling solutions to the nonlinear Schrödinger / Gross-Pitaevskii equation. Zbl 1304.35638 Goodman, Roy H.; Marzuola, Jeremy L.; Weinstein, Michael I. 5 2015 High-order adaptive method for computing two-dimensional invariant manifolds of three-dimensional maps. Zbl 1277.65110 Wróbel, Jacek K.; Goodman, Roy H. 9 2013 High-order bisection method for computing invariant manifolds of two-dimensional maps. Zbl 1248.65026 Goodman, Roy H.; Wróbel, Jacek K. 9 2011 Hamiltonian Hopf bifurcations and dynamics of NLS/GP standing-wave modes. Zbl 1234.35030 Goodman, Roy 9 2011 Nonlinear hydrodynamic phenomena in Stokes flow regime. Zbl 1193.37111 Blawzdziewicz, J.; Goodman, R. H.; Khurana, N.; Wajnryb, E.; Young, Y.-N. 1 2010 Chaotic scattering in solitary wave interactions: a singular iterated-map description. Zbl 1307.35011 Goodman, Roy H. 16 2008 Stability and instability of nonlinear defect states in the coupled mode equations-analytical and numerical study. Zbl 1153.78325 Goodman, Roy H.; Weinstein, Michael I. 5 2008 Hysteretic and chaotic dynamics of viscous drops in creeping flows with rotation. Zbl 1145.76349 Young, Y.-N.; Bławzdziewicz, J.; Cristini, V.; Goodman, R. H. 5 2008 Kink-antikink collisions in the \(\phi^4\) equation: the \(n\)-bounce resonance and the separatrix map. Zbl 1145.74370 Goodman, Roy H.; Haberman, Richard 44 2005 Trapping light with grating defects. Zbl 1104.78008 Goodman, R. H.; Slusher, R. E.; Weinstein, M. I.; Klaus, M. 5 2005 Strong NLS soliton-defect interactions. Zbl 1061.35132 Goodman, Roy H.; Holmes, Philip J.; Weinstein, Michael I. 64 2004 Interaction of sine-Gordon kinks with defects: the two-bounce resonance. Zbl 1060.35124 Goodman, Roy H.; Haberman, Richard 21 2004 Interaction of sine-Gordon kinks with defects: Phase space transport in a two-mode model. Zbl 0985.35074 Goodman, Roy H.; Holmes, Philip J.; Weinstein, Michael I. 28 2002 On the convergence of puck clustering systems. Zbl 1013.68259 Kazadi, S.; Abdul-Khaliq, A.; Goodman, R. 3 2002 Nonlinear propagation of light in one-dimensional periodic structures. Zbl 1005.78011 Goodman, R. H.; Weinstein, M. I.; Holmes, P. J. 32 2001 Modulations in the leading edges of midlatitude storm tracks. Zbl 0989.86007 Goodman, R. H.; Majda, A. J.; McLaughlin, D. W. 1 2001 Some models of error in floating point multiplication. Zbl 0456.68052 Goodman, R. 2 1981 all cited Publications top 5 cited Publications all top 5 Cited by 324 Authors 14 Goodman, Roy H. 13 Pelinovsky, Dmitry Efimovich 10 Dohnal, Tomáš 10 Kevrekidis, Panayotis G. 8 Angulo Pava, Jaime 8 Weinstein, Michael I. 7 Mireles-James, Jason D. 6 Noja, Diego 5 Alonso Izquierdo, A. Alonso 5 Decker, Robert J. 5 Demirkaya, Aslihan 5 Dovetta, Simone 5 Ekomasov, Evgeniĭ Grigor’evich 5 Maeda, Masaya 5 Marzuola, Jeremy Louis 5 Ohta, Masahito 4 Cuccagna, Scipio 4 Gumerov, Azamat Maratovich 4 Kairzhan, Adilbek 4 Le Coz, Stefan 4 Riazi, Nematollah 4 Romańczukiewicz, Tomasz 4 Vakakis, Alexander F. 4 Yang, Jianke 3 Abounouh, Mostafa 3 Adami, Riccardo 3 Al Moatassime, Hassan 3 Hernandez Ardila, Alex 3 Boni, Filippo 3 Chrifi, Abderrazak 3 Dmitriev, Sergey V. 3 Fibich, Gadi 3 Gani, Vakhid A. 3 Gomes, Adalto R. 3 Haberman, Richard 3 Huh, Hyungjin 3 Kudryavtsev, Roman V. 3 Mohammadi, Mohammad Hassan 3 Murphy, Jason 3 Nobrega, K. Z. 3 Schneider, Guido 3 Segata, Jun-ichi 3 Shnir, Yakov M. 3 Simas, Fabiano C. 3 Susanto, Hadi 3 Tang, Xingdong 2 Adriazola, Jimmie 2 Bazeia, Dionisio 2 Besse, Christophe 2 Boussaid, Nabile 2 Cacciapuoti, Claudio 2 Campos, João G. F. 2 Carlone, Raffaele 2 Christov, Ivan C. 2 Comech, Andrew 2 Derks, Gianne 2 Dorey, Patrick E. 2 Duboscq, Romain 2 Fakhretdinov, Marat Irekovich 2 Faver, Timothy E. 2 Finco, Domenico 2 Fukaya, Noriyoshi 2 Fukuizumi, Reika 2 García-Azpeitia, Carlos 2 Goloshchapova, Nataliia 2 Gorina, Anastasia 2 Hernandez Melo, Cesar Adolfo 2 Holmer, Justin 2 Holmes, Philip J. 2 Inui, Takahisa 2 Javed, Amaria 2 Jung, Jae-Hun 2 Kechiche, Wided 2 Khawaja, U. Al 2 Malomed, Boris A. 2 Martel, Carlos 2 Martin-Vergara, Francisca 2 Masaki, Satoshi 2 Mohammadi, Azadeh 2 Nieto, Luis Miguel 2 Queiroga-Nunes, J. 2 Rahman, Aminur 2 Royer, Julien 2 Rus, Francisco 2 Sacchetti, Andrea 2 Saxena, Avadh Behari 2 Serra, Enrico 2 Sivan, Yonatan 2 Soffer, Avraham 2 Uthayakumar, T. 2 Villatoro, Francisco R. 2 Wahlers, Lisa 2 Xu, Guixiang 2 Zhu, Yi 1 Abdelhady, A. M. H. H. 1 Aceves, Alejandro B. 1 Adam, Christoph 1 Adhikari, Sadhan K. 1 Aimez, Vincent 1 Al-Marzoug, S. M. ...and 224 more Authors all top 5 Cited in 89 Serials 17 Physica D 17 Communications in Nonlinear Science and Numerical Simulation 11 Journal of High Energy Physics 10 Journal of Differential Equations 6 SIAM Journal on Mathematical Analysis 6 Journal of Physics A: Mathematical and Theoretical 5 Discrete and Continuous Dynamical Systems 5 Chaos 5 SIAM Journal on Applied Dynamical Systems 4 Communications in Mathematical Physics 4 Journal of Mathematical Physics 4 Chaos, Solitons and Fractals 4 Journal of Functional Analysis 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 International Journal of Modern Physics A 3 Journal of Computational Physics 3 Nonlinearity 3 Physics Letters. A 3 Wave Motion 3 Reviews in Mathematical Physics 3 Studies in Applied Mathematics 3 Journal of Nonlinear Science 3 NoDEA. Nonlinear Differential Equations and Applications 3 Discrete and Continuous Dynamical Systems. Series S 2 Applicable Analysis 2 Letters in Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Physics Letters. B 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Applied Mathematics Letters 2 Annals of Physics 2 Communications in Partial Differential Equations 2 SIAM Journal on Applied Mathematics 2 Journal of Dynamics and Differential Equations 2 Indagationes Mathematicae. New Series 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Calculus of Variations and Partial Differential Equations 2 Nonlinear Dynamics 2 Communications on Pure and Applied Analysis 2 São Paulo Journal of Mathematical Sciences 2 Russian Journal of Nonlinear Dynamics 1 International Journal of Theoretical Physics 1 Inverse Problems 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Theoretical and Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Advances in Mathematics 1 Applied Mathematics and Computation 1 Calcolo 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Meccanica 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Ricerche di Matematica 1 Acta Applicandae Mathematicae 1 European Journal of Applied Mathematics 1 Computational Mathematics and Modeling 1 Japan Journal of Industrial and Applied Mathematics 1 Computational Mathematics and Mathematical Physics 1 Abstract and Applied Analysis 1 Journal of Modern Optics 1 Czechoslovak Journal of Physics 1 Nonlinear Analysis. Real World Applications 1 Dynamical Systems 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Milan Journal of Mathematics 1 Advances in Difference Equations 1 Boundary Value Problems 1 Complex Variables and Elliptic Equations 1 Communications in Computational Physics 1 Analysis & PDE 1 Symmetry 1 Analysis and Mathematical Physics 1 Communications in Applied and Industrial Mathematics 1 Annales Mathématiques du Québec 1 Journal of Computational Dynamics 1 Advances in Nonlinear Analysis 1 SMAI Journal of Computational Mathematics 1 Annales Henri Lebesgue 1 SN Partial Differential Equations and Applications all top 5 Cited in 25 Fields 162 Partial differential equations (35-XX) 63 Quantum theory (81-XX) 49 Dynamical systems and ergodic theory (37-XX) 24 Numerical analysis (65-XX) 20 Optics, electromagnetic theory (78-XX) 19 Ordinary differential equations (34-XX) 18 Statistical mechanics, structure of matter (82-XX) 9 Mechanics of particles and systems (70-XX) 6 Mechanics of deformable solids (74-XX) 6 Relativity and gravitational theory (83-XX) 5 Operator theory (47-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Fluid mechanics (76-XX) 3 Difference and functional equations (39-XX) 3 Approximations and expansions (41-XX) 3 Functional analysis (46-XX) 2 Manifolds and cell complexes (57-XX) 1 Algebraic geometry (14-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year