COMPLEX DYNAMICS IN A PENDULUM EQUATION WITH A PHASE SHIFT

DOI10.1142/S0218127412503075zbMath1258.34096OpenAlexW2008680817MaRDI QIDQ4908417

Xian-Wei Chen, Xiang-Ling Fu, Zhu-jun Jing

Publication date: 5 March 2013

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

Full work available at URL: https://doi.org/10.1142/s0218127412503075

zbMATH Keywords

chaosbifurcationperiodic perturbationphase shiftpendulum equationquasi-perturbation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Averaging method for ordinary differential equations (34C29) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (4)

Existence of quasi-periodic solutions of the real pendulum equation ⋮ Chaos control in a pendulum system with excitations ⋮ Chaos control in a special pendulum system for ultra-subharmonic resonance ⋮ Chaos control in a pendulum system with excitations and phase shift

Cites Work

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