Existence and uniqueness of limit cycle for a class of nonlinear discrete-time systems

DOI10.1016/j.chaos.2006.10.031zbMath1142.39307OpenAlexW2074577766MaRDI QIDQ944883

Yeong-Jeu Sun

Publication date: 10 September 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.10.031

Mathematics Subject Classification ID

General biology and biomathematics (92B05)

Related Items (9)

Existence and uniqueness of the exponentially stable limit cycle for a class of nonlinear systems via time-domain approach with differential inequality ⋮ Inducing sustained oscillations in a class of nonlinear discrete time systems ⋮ Existence of self-oscillation for a class of nonlinear discrete-time systems ⋮ Kepler's equation and limit cycles in a class of PWM feedback control systems ⋮ Existence and uniqueness of limit cycles in a class of second order ODE's with inseparable mixed terms ⋮ Parameter identification of chaotic systems using improved differential evolution algorithm ⋮ Attractors and limit cycles of discrete-time switching affine systems: nominal and uncertain cases ⋮ Linear matrix inequality relaxations and its application to data‐driven control design for switched affine systems ⋮ Robust limit cycle control in a class of nonlinear discrete-time systems

Cites Work

• Dynamical behaviors of a partial-dependent predator--prey system
• Piecewise-linearized methods for oscillators with limit cycles
• Existence of limit cycles for coupled van der Pol equations.
• Blue sky bifurcations caused by unstable limit cycle leading to voltage collapse in an electric power system.
• Local stability of limit cycles for MIMO relay feedback systems.
• Uniqueness of limit cycles of the predator-prey system with Beddington-DeAngelis functional response.
• Bifurcation analysis in a limit cycle oscillator with delayed feedback
• A general and exact method for determining limit cycles in decentralized relay systems
• On the computation of characteristic multipliers for predicting limit cycle bifurcations
• Limit cycles in a general two-stroke oscillation

This page was built for publication: Existence and uniqueness of limit cycle for a class of nonlinear discrete-time systems