Limit cycle analysis of the verge and foliot clock escapement using impulsive differential equations and Poincaré maps
From MaRDI portal
Publication:4454750
DOI10.1080/00207170310001632412zbMath1052.93044OpenAlexW2166349669MaRDI QIDQ4454750
Sergey G. Nersesov, Alexander V. Roup, Dennis S. Bernstein, Vijay Sekhar Chellaboina, Wassim M. Haddad
Publication date: 8 March 2004
Published in: International Journal of Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207170310001632412
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Automated systems (robots, etc.) in control theory (93C85) Ordinary differential equations with impulses (34A37) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Control of mechanical systems (70Q05)
Related Items
HUYGENS' ODD SYMPATHY EXPERIMENT REVISITED ⋮ Synchronization of weakly nonlinear oscillators with Huygens' coupling ⋮ Unnamed Item ⋮ Generalized solutions to hybrid dynamical systems ⋮ Models, feedback control, and open problems of 3D bipedal robotic walking ⋮ Exponential stability of a class of nonlinear singularly perturbed systems with delayed impulses ⋮ Impulsive fire disturbance in a savanna model: tree-grass coexistence states, multiple stable system states, and resilience ⋮ CHAOS IN COUPLED CLOCKS ⋮ Existence of solutions and stability for impulsive neutral stochastic functional differential equations ⋮ Synchronization of clocks and metronomes: A perturbation analysis based on multiple timescales ⋮ Why two clocks synchronize: Energy balance of the synchronized clocks
