Year: 2025
Type: article
Abstract: This article presents the synthesis of autonomous circuits that generate chaotic behavior using nonlinear fractional-order elements. It provides a comprehensive revision of the existing classification of nonlinear elements, including memory elements such as memristive and related systems, and extends this classification into the fractional-order domain. A similar generalization is applied to duality transformations. These transformations are then employed to derive a family of circuits exhibiting dual behavior, offering various implementation possibilities. The proposed methodology is demonstrated through a chaos generator whose nonlinear core is based on a memory version of a fractional resonance tank circuit.
Source: Nonlinear Dynamics
Authors: Dalibor Biolek, Ivo Petráš
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $4,790
Awards: Výskum a vývoj pokročilých metód, algoritmov a prostriedkov pre matematické modelovanie, analýzu, syntézu, simuláciu a návrh riadiacich systémov technologických objektov a procesov, Výskum moderných metód, algoritmov a prostriedkov pre matematické modelovanie, analýzu, simuláciu, predikciu a riadenie dynamických procesov v zložitých systémoch a štruktúrach, Impedance spectroscopy of objects with fractional dynamics: New modeling approach
OpenAlex ID: W4413576193