Research

Portrait of Samuel W. Akingbade

Peer-Reviewed Publications

  • “Null-Validated Topological Signatures of Financial Market Dynamics.” Communications in Nonlinear Science and Numerical Simulation, vol. 163, 2026, 110630.

  • “Why Topological Data Analysis Detects Financial Bubbles?” (with M. Gidea, M. Manzi, and V. Nateghi). Communications in Nonlinear Science and Numerical Simulation, vol. 128, 2024, 107665.

  • “Arnold Diffusion in a Model of Dissipative System.” (with M. Gidea and T. M.-Seara). SIAM Journal on Applied Dynamical Systems, vol. 22, no. 3, 2023.

  • “Analysis of the Generalized Inverse Polynomial Scheme to Initial Value Problems.” (with O. E. Abolarin). FUOYE Journal of Engineering and Technology, vol. 3, no. 2, 2018.

  • “Derivation and Application of Fourth Stage Inverse Polynomial Scheme to Initial Value Problems.” (with O. E. Abolarin). IAENG International Journal of Applied Mathematics, vol. 47, no. 4, 2017.

  • “A New Numerical Method for the Solution of Initial Value Problems.” (with O. E. Abolarin). Nigerian Journal of Mathematics and Applications, vol. 24, 2015.

Manuscript in Preparation

  • “Topological Inference of Gamma Oscillation Mechanisms” (with D.B. Forger and B.O. Watson).

Works in Progress

  • “Topological Analysis of Longitudinal Behavioral Dynamics” (with D.B. Forger and B.O. Watson).

  • “Arnold Diffusion in Conformally Symplectic Systems” (with M. Gidea and T. M.-Seara).

  • “Drift on Annuli in Systems with Dissipation” (with M. Gidea).

Selected Talks

  • “Persistent Homology of Time Series.” MIDAS Weekly Research Meeting, University of Michigan, March 2026.

  • “Topological Data Analysis of Oscillatory Time Series.” Capsule Research Talk, Department of Mathematics, University of Michigan, August 2024.

  • “Instability in a Model for Dissipative Perturbations of Hamiltonian Systems.” Oral and poster presentations, 10th Heidelberg Laureate Forum, Heidelberg, Germany, September 2023.

  • “Arnold Diffusion for Dissipative Perturbations of Hamiltonian Systems (A General Case).” Joint Mathematics Meetings, Boston, Massachusetts, January 2023.

  • “Instability in a Model for Dissipative Systems.” School on Conformal Symplectic Dynamics and Related Fields, CIRM, Marseille, France, 2023.

  • “Energy Growth in Hamiltonian Systems with Small Dissipation.” Houston Workshop on Hyperbolic Dynamical Systems, University of Houston, 2022.

  • “Arnold Diffusion for Dissipative Perturbations of Hamiltonian Systems.” Poster presentation, Midwest Early Career Conference on Dynamical Systems, University of Notre Dame, 2022.

  • “A New Numerical Method for the Solution of Initial Value Problems.” 35th Annual Conference of the Nigerian Mathematical Society, Minna, Nigeria, 2016.