A unified fractional action integral framework for memory-dependent circuit dynamics and Josephson junctionsOA
This study presents a unified framework for analyzing electric circuits and Josephson junctions using a fractional action integral that incorporates memory effects and nonlocal behavior.Unlike classical integer-order models,the method extends the action principle to fractional orders,leading to fractional Euler-Lagrange equations that better describe currents,voltages,and phase evolution.It is particularly effective for Josephson junctions,where tunneling currents and phase dynamics show long-term correlations and dissipation.By including fractional-order elements,the framework captures anomalous damping,power-law relaxation,and persistent memory effects in complex circuits.Using a dissipative fractional standard map,the study investigates chaos and the influence of memory on system stability.Numerical results reveal strong sensitivity to fractional parameters,including bifurcations and chaotic attractors.These findings link the classical circuit theory with fractional dynamics,offering new insights for superconducting electronics and the design of nonlinear systems.
Rami Ahmad El-Nabulsi;Waranont Anukool;Raja Valarmathi;Chinnasamy Thangaraj
Center of Excellence in Quantum Technology,Chiang Mai University,Chiang Mai,50200,Thailand Quantum-Atom Optics Laboratory,Chiang Mai University,Chiang Mai,50200,Thailand Department of Optical Networks,CESNET,Prague,16000,Czech RepublicCenter of Excellence in Quantum Technology,Chiang Mai University,Chiang Mai,50200,Thailand Quantum-Atom Optics Laboratory,Chiang Mai University,Chiang Mai,50200,Thailand Department of Physics and Materials Science,Chiang Mai University,Chiang Mai,50200,ThailandDepartment of Mathematics,Dayananda Sagar Academy of Technology and Management,Bengaluru,560082,IndiaDepartment of Mathematics,Dayananda Sagar College of Engineering,Bengaluru,560078,India
数理科学
ChaosElectric circuitsFractional-order integralJosephson junction
《Journal of Electronic Science and Technology》 2026 (2)
P.56-74,19
supported by the Ministry of Education,Youth and Sport of the Czech Republic as a part of the Quantum Engineering and Nanotechnology project QUEENTEC under Grant No.reg.nr.CZ.02.01.01/00/22008/0004649 from Chiang Mai University.
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