Area of research
Computer Networks and Communications · Statistical and Nonlinear Physics
Research interest
Research interests include Nonlinear Dynamics and Pattern Formation, Quantum chaos and dynamical systems, stochastic dynamics and bifurcation, and Differential Equations and Numerical Methods.
Strong symmetry breaking rhythms created by folded nodes in a pair of symmetrically coupled, identical Koper oscillators.
Symmetry-breaking rhythms in coupled, identical fast-slow oscillators.
A new class of chimeras in locally coupled oscillators with small-amplitude, high-frequency asynchrony and large-amplitude, low-frequency synchrony.
Multi-mode attractors and spatio-temporal canards
Delayed loss of stability due to the slow passage through Hopf bifurcations in reaction–diffusion equations
Dynamical systems analysis of the Maasch–Saltzman model for glacial cycles
Amplitude-Modulated Bursting: A Novel Class of Bursting Rhythms
Mixed-mode bursting oscillations: Dynamics created by a slow passage through spike-adding canard explosion in a square-wave burster
Geometric Desingularization of a Cusp Singularity in Slow–Fast Systems with Applications to Zeeman’s Examples
Energy transfer between the shape and volume modes of a nonspherical gas bubble
A showcase of torus canards in neuronal bursters
Existence and Stability of Traveling Pulses in a Reaction–Diffusion-Mechanics System
Canards of mixed type in a neural burster
Dynamical Systems and Singular Perturbation Theory for Multiscale Reaction-Diffusion Systems
Dynamical systems and singular perturbation theory for multi-scale reaction-diffusion phenomena
Dynamical systems and singular perturbation theory for multi-scale reaction-diffusion phenomena
Dynamical systems theory and singular perturbation analysis for patterns, bubbles, and chemical reduction methods
Applied dynamical systems and singular perturbation theory for patterns, bubbles and chemical reactions
Mathematical Sciences: Dynamical Systems Theory Motivated by Bubbles, Accelerators and Split-Operator Numerical Schemes".
Mathematical Sciences: New Resonance Phenomena and Adiabatic Chaos