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Sep 2026

Estimation of Parameter in Chaotic Systems Using Invariant Features of Recurrence Plots

Chaotic dynamical systems, known for their extreme sensitivity to initial conditions, present a significant challenge for accurate parameter estimation. This paper introduces a robust Objective Function (OF) that uses the invariant topological properties of the system’s attractor, derived from Recurrence Plots (RPs), t...

Nafise Naseri, Mohammad Bagher Khodabakhshi, Farnaz Ghassemi et al. · 0 citations
Open access Aug 2026

A Novel Chaotic Map Based on Decay Functions and Its Applications

Motivated by decay-modulated nonlinear perturbations in discrete dynamical systems, this paper proposes a one-dimensional Sine-Bessel chaotic map by coupling the sine map with the zeroth-order Bessel function of the first kind. Fixed-point analysis establishes a bounded positively invariant interval, guarantees the e...

Pei-Zhu Ding, Shivakumar Rajagopal, S. Jafari et al. · 0 citations

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