Synchronization of linearly coupled networks of deterministic ratchets

DOI10.1016/j.physleta.2008.03.008zbMath1220.90038OpenAlexW2062955733MaRDI QIDQ637941

Ying Yang, Pingli Lu, Lin Huang

Publication date: 6 September 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.03.008

zbMATH Keywords

linear matrix inequalitysynchronizationdynamical complex networksdeterministic ratchetspendulum-like system

Mathematics Subject Classification ID

Deterministic network models in operations research (90B10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stability theory of functional-differential equations (34K20)

Related Items (5)

Local and global exponential output synchronization of complex delayed dynamical networks ⋮ Control-oriented approaches to anticipating synchronization of chaotic deterministic ratchets ⋮ Input and output passivity of complex dynamical networks with general topology ⋮ MULTIRESONANCE AND ENHANCED SYNCHRONIZATION IN STOCHASTICALLY COUPLED RATCHETS ⋮ Phase synchronization in tilted inertial ratchets as chaotic rotators

Uses Software

• LMI toolbox

Cites Work

• Cycles of the second kind for uncertain pendulum-like systems with several nonlinearities
• Dynamic feedback control for cycle slipping in a phase-controlled system
• All controllers for the general \({\mathcal H}_ \infty\) control problem: LMI existence conditions and state space formulas
• On the Kalman-Yakubovich-Popov lemma
• Current reversals in chaotic ratchets: the battle of the attractors
• Design of controller for a class of pendulum-like system guaranteeing dichotomy
• \(H_{\infty }\) controller synthesis for pendulum-like systems
• Frequency-Domain Methods for Nonlinear Analysis: Theory and Applications
• Input and output coupled nonlinear systems
• Semidefinite programming duality and linear time-invariant systems
• Synchronization in scale-free dynamical networks: robustness and fragility
• Phase synchronization in unidirectionally coupled chaotic ratchets

This page was built for publication: Synchronization of linearly coupled networks of deterministic ratchets