Solution structures of an electrical transmission line model with bifurcation and chaos in Hamiltonian dynamics

DOI10.1142/s0218127423501080zbMath1541.35481MaRDI QIDQ6537740

Jian-Ming Qi, Yiqun Sun, Le Zhang, Qinghua Cui

Publication date: 14 May 2024

Published in: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering (Search for Journal in Brave)

zbMATH Keywords

bifurcationchaotic behaviorphase portraitWeierstrass elliptic functionfraction ordernonlinear electrical transmission

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Fractional derivatives and integrals (26A33) Lasers, masers, optical bistability, nonlinear optics (78A60) Waves and radiation in optics and electromagnetic theory (78A40) Bifurcations in context of PDEs (35B32) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Solutions to PDEs in closed form (35C05) Elliptic functions and integrals (33E05) Soliton solutions (35C08) Methods of ordinary differential equations applied to PDEs (35A24) Fractional partial differential equations (35R11) Chaos control for problems involving ordinary differential equations (34H10)

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