Publications

Jimmie Adriazola, Roy Goodman (2023). Apodizer Design to Efficiently Couple Light into a Fiber Bragg Grating. Apodizer Design to Efficiently Couple Light into a Fiber Bragg Grating.

Roy Goodman, Brandon Behring (2023). Transition to instability of the leapfrogging vortex quartet. Transition to instability of the leapfrogging vortex quartet.

PDF Cite Journal arXiv

Jimmie Adriazola, Roy Goodman, Panos Kevrekidis (2022). Efficient Manipulation of Bose-Einstein Condensates in a Double-Well Potential. Efficient Manipulation of Bose-Einstein Condensates in a Double-Well Potential.

PDF Cite Journal arXiv

Jimmie Adriazola, Roy Goodman (2022). A Reduction-Based Strategy for Optimal Control of Bose-Einstein Condensates. Phys. Rev. E.

PDF Cite Journal arXiv

Jimmie Adriazola, Roy Goodman (2021). An Optimal Control Approach to Gradient-Index Design for Beam Reshaping. J. Opt. Soc. Amer. A.

PDF Cite Journal arXiV

Timothy Faver, Roy Goodman, Doug Wright (2020). Solitary Waves in Mass-in-Mass Lattices. ZAMP.

PDF Cite Journal arXiv

Amir Sagiv, Adi Ditkowski, Roy Goodman, Gadi Fibich (2020). Loss of Physical Reversibility in Reversible Systems. Phys. D.

PDF Cite Journal arXiv

Brandon Behring, Roy Goodman (2019). Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach. Physical Review Fluids.

PDF Cite Journal arXiv

Adilbek Kairzhan, Dmitry Pelinovsky, Roy Goodman (2019). Drift of spectrally stable shifted states on star graphs. SIAM Journal on Applied Dynamical Systems.

PDF Cite Journal arXiv

Roy Goodman, Maurizio Porfiri (2019). Topological features determining the error in the inference of networks using transfer entropy. Mathematics in Engineering.

PDF Cite Journal

Roy Goodman (2019). Mathematical Analysis of Fractal Kink-Antikink Collisions in the $\varphi^4$ Model. A Dynamical Perspective on the $\varphi^4$ Model.

PDF Cite arXiv Book

Roy Goodman (2019). NLS bifurcations on the bowtie combinatorial graph and the dumbbell metric graph. Discrete and Continuous Dynamical Systems A.

PDF Cite Journal

Roy Goodman (2017). Bifurcations of relative periodic orbits in NLS/GP with a triple-well potential. Physica D.

PDF Cite Journal arXiv

Roy Goodman, Amin Rahman, Michael Bellanich, Catherine Morrison (2015). A Mechanical Analog of the Two-Bounce Resonance of Solitary Waves: Modeling and Experiment. Chaos.

PDF Cite Journal arXiv

Roy Goodman, Panos Kevrekidis, Ricardo Carretero Gónzalez (2015). Dynamics of vortex dipoles in anisotropic Bose-Einstein condensates. SIAM Journal on Applied Dynamical Systems.

PDF Cite Journal

Roy Goodman, Jeremy Marzuola, Michael Weinstein (2015). Self-trapping and Josephson tunneling solutions to the nonlinear Schrödinger / Gross-Pitaevskii Equation. Discrete and Continuous Dynamical Systems A.

PDF Cite Journal

Jacek Wróbel, Roy Goodman (2013). High-order Adaptive Method for Computing Two-dimensional Invariant Manifolds of Maps. Communications in Nonlinear Science and Numerical Simulation.

PDF Cite Journal

Roy Goodman (2011). Hamiltonian Hopf bifurcations and dynamics of NLS/GP standing-wave modes. Journal of Physics A: Mathematical and Theoretical.

PDF Cite Journal arXiv

Roy Goodman, Jacek Wróbel (2011). High-Order Bisection Method for Computing Invariant Manifolds of Two-Dimensional Maps. International Journal of Bifurcation and Chaos.

PDF Cite Journal

Jerzy Bławzdziewicz, Roy Goodman, N. Khurana, E. Wajnryb, Yuan-Nan Young (2010). Nonlinear hydrodynamic phenomena in Stokes flow regime. Physica D.

PDF Cite Journal Special Issue

Roy Goodman (2008). Chaotic scattering in solitary wave interactions: A singular iterated-map description. Chaos.

PDF Cite Journal arXiv

Yuan-Nan Young, Jerzy Bławzdziewicz, Vittorio Cristini, Roy Goodman (2008). Hysteretic and chaotic dynamics of viscous drops in creeping flows with rotation. Journal of Fluid Mechanics.

PDF Cite Journal

Roy Goodman, Michael Weinstein (2008). Stability and instability of nonlinear defect states in the coupled mode equations---analytical and numerical study. Physica D..

PDF Cite Journal arXiv

Roy Goodman, Richard Haberman (2007). Chaotic Scattering and the $n$-bounce Resonance in Solitary Wave Interactions. Physical Review Letters.

PDF Cite Journal arXiv

Roy Goodman, Richard Haberman (2005). Kink-antikink collisions in the $\phi^4$ equation: The $n$-bounce resonance and the separatrix map. SIAM Journal on Applied Dynamical Systems.

PDF Cite Journal

Roy Goodman, Richart Slusher, Michael Weinstein, Martin Klaus (2005). Trapping light with grating defects. Contemporary Mathematics 379: Mathematical studies in nonlinear wave propagation.

Roy Goodman, Richard Haberman (2005). Vector soliton interactions in birefringent optical fibers. Physical Review E.

PDF Cite Journal arXiv

Roy Goodman, Richard Haberman (2004). Interaction of sine-Gordon kinks with defects: The two-bounce resonance. Physica D.

PDF Cite Journal arXiv

Roy Goodman, Phil Holmes, Michael Weinstein (2004). Strong NLS soliton--defect interactions. Physica D.

PDF Cite Journal arXiv

Roy Goodman, Phil Holmes, Michael Weinstein (2002). Interaction of sine-Gordon kinks with defects: phase space transport in a two-mode model. Physica D.

Roy Goodman, Richart Slusher, Michael Weinstein (2002). Stopping Light on a Defect. Journal of the Optical Society of America B.

PDF Cite Journal arXiv

Phil Holmes, Roy Goodman, Michael Weinstein (2002). Trapping of kinks and solitons by defects: phase space transport in finite-dimensional models. Progress in nonlinear science, Vol. 1 (Nizhny Novgorod, 2001).

PDF Cite Collection

Roy Goodman, Andrew Majda, David McLaughlin (2001). Modulations in the leading edges of midlatitude storm tracks. SIAM Journal on Applied Mathematics.

PDF Cite Journal

Roy Goodman, Michael Weinstein, Phil Holmes (2001). Nonlinear propagation of light in one-dimensional periodic structures. Journal of Nonlinear Science.

PDF Cite Journal arXiv

Roy Goodman, David Graff, Leonard Sander, Patrick Leroux-Hugon, Eric Clement (1995). Trigger Waves in a Model for Catalysis. Physical Review E.

PDF Cite Journal