NONEXISTENCE OF PERIODIC SOLUTIONS IN A CLASS OF DYNAMICAL SYSTEMS WITH CYLINDRICAL PHASE SPACE

DOI10.1142/S0218127405012648zbMath1089.34037OpenAlexW2021516139MaRDI QIDQ5702224

Lin Huang, Ying Yang, Zhi-Sheng Duan

Publication date: 1 November 2005

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

Full work available at URL: https://doi.org/10.1142/s0218127405012648

zbMATH Keywords

nonlinear systemsinterconnectioncylindrical phase spacecycles of second kindlinear matrices inequalities.

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Periodic orbits of vector fields and flows (37C27)

Related Items (3)

Frequency-domain and time-domain methods for feedback nonlinear systems and applications to chaos control ⋮ Global phase synchronization for a class of dynamical complex networks with time-varying coupling delays ⋮ Volterra Equations with Periodic Nonlinearities: Multistability, Oscillations and Cycle Slipping

Cites Work

• Unnamed Item
• On the Kalman-Yakubovich-Popov lemma
• \(H_{\infty }\) controller synthesis for pendulum-like systems
• A qualitative analysis of the behavior of dynamic nonlinear networks: Stability of autonomous networks
• Nonlinear H_∞ Synchronization of Chaotic Lur'e Systems
• Semidefinite programming duality and linear time-invariant systems

This page was built for publication: NONEXISTENCE OF PERIODIC SOLUTIONS IN A CLASS OF DYNAMICAL SYSTEMS WITH CYLINDRICAL PHASE SPACE