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math.DS2026
FitzHugh-Nagumo equation: bifurcations, slow-fast system and dynamics near infinity
Alexandre A. P. Rodrigues, Nasrin Sadri
In this paper, we present a qualitative and bifurcation analysis of the three-parameter FitzHugh-Nagumo system and its compactified formulation. The study is structured according t…
math.DS2025
Global Centers and Phase Portraits in Generalized Duffing Oscillators: A Comprehensive Study of the Center-Focus Problem
Gabriel Rondón, Nasrin Sadri
This work presents a comprehensive study of the generalized Duffing oscillator, a fundamental model in nonlinear dynamics described by the system $$ \dot{x} = y, \quad \dot{y} = -Î…
math.DS2024
Invariant Tori and Periodic Orbits in the FitzHugh-Nagumo System
Murilo R. Cândido, Douglas D. Novaes, Nasrin Sadri
The FitzHugh-Nagumo system is a -parameter family of D vector field used for modeling neural excitation and nerve impulse propagation. The origin represents a Hopf-zero equil…