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• Phase portraits and the bifurcation set for the three-vortex interaction system
• QGLAB: A MATLAB Package for Computations on Quantum Graphs
• A new canonical reduction of three-vortex motion and its application to vortex-dipole scattering
• Apodizer Design to Efficiently Couple Light into a Fiber Bragg Grating
• Transition to instability of the leapfrogging vortex quartet
• Efficient Manipulation of Bose-Einstein Condensates in a Double-Well Potential
• A Reduction-Based Strategy for Optimal Control of Bose-Einstein Condensates
• An Optimal Control Approach to Gradient-Index Design for Beam Reshaping
• Solitary Waves in Mass-in-Mass Lattices
• Loss of Physical Reversibility in Reversible Systems
• Transfer entropy for network reconstruction in a simple dynamical model
• Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach
• Drift of spectrally stable shifted states on star graphs
• Topological features determining the error in the inference of networks using transfer entropy
• Mathematical Analysis of Fractal Kink-Antikink Collisions in the $\varphi^4$ Model
• NLS bifurcations on the bowtie combinatorial graph and the dumbbell metric graph
• What do I do with all these numerical simulations?
• Bifurcations of relative periodic orbits in NLS/GP with a triple-well potential
• Complex Behavior in Coupled Nonlinear Waveguides
• A Mechanical Analog of the Two-Bounce Resonance of Solitary Waves: Modeling and Experiment
• Dynamics of vortex dipoles in anisotropic Bose-Einstein condensates
• Self-trapping and Josephson tunneling solutions to the nonlinear Schrödinger / Gross-Pitaevskii Equation
• High-order Adaptive Method for Computing Two-dimensional Invariant Manifolds of Maps
• Hamiltonian Hopf bifurcations and dynamics of NLS/GP standing-wave modes
• High-Order Bisection Method for Computing Invariant Manifolds of Two-Dimensional Maps
• Nonlinear hydrodynamic phenomena in Stokes flow regime
• Chaotic scattering in solitary wave interactions: A singular iterated-map description
• Hysteretic and chaotic dynamics of viscous drops in creeping flows with rotation
• Stability and instability of nonlinear defect states in the coupled mode equations---analytical and numerical study
• Chaotic Scattering and the $n$-bounce Resonance in Solitary Wave Interactions
• Kink-antikink collisions in the $\phi^4$ equation: The $n$-bounce resonance and the separatrix map
• Trapping light with grating defects
• Vector soliton interactions in birefringent optical fibers
• Interaction of sine-Gordon kinks with defects: The two-bounce resonance
• Strong NLS soliton--defect interactions
• Interaction of sine-Gordon kinks with defects: phase space transport in a two-mode model
• Stopping Light on a Defect
• Trapping of kinks and solitons by defects: phase space transport in finite-dimensional models
• Modulations in the leading edges of midlatitude storm tracks
• Nonlinear propagation of light in one-dimensional periodic structures
• Trigger Waves in a Model for Catalysis