STUDY OF DEGENERATE BIFURCATIONS IN MAPS: A FEEDBACK SYSTEMS APPROACH
From MaRDI portal
Publication:4655646
DOI10.1142/S0218127404010266zbMath1129.37334OpenAlexW2074350874MaRDI QIDQ4655646
Jorge L. Moiola, Eduardo E. Paolini, María Belén D'Amico
Publication date: 8 March 2005
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127404010266
Feedback control (93B52) Discrete-time control/observation systems (93C55) Dynamical systems in control (37N35) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)
Related Items
Exact period-four solutions of a family of n-dimensional quadratic maps via harmonic balance and Gröbner bases ⋮ Controlling Neimark-Sacker bifurcations in discrete-time multivariable systems ⋮ DELAY FEEDBACK CONTROL FOR INTERACTION OF HOPF AND PERIOD DOUBLING BIFURCATIONS IN DISCRETE-TIME SYSTEMS ⋮ Effect of delayed feedback on the dynamics of a scalar map via a frequency-domain approach
Cites Work
- Periodic and quasi-periodic behavior in resource-dependent age structured population models
- Bifurcations de points fixes elliptiques. II: Orbites periodiques et ensembles de Cantor invariants. (Bifurcations of elliptic fixed points. II: Periodic orbits and invariant Cantor sets)
- Nonlinear dynamics in adaptive control: Periodic and chaotic stabilization. II: Analysis
- Bifurcation in model reference adaptive control systems
- Stabilization of period doubling bifurcations and implications for control of chaos
- The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systems
- Period Doubling with Higher-Order Degeneracies
- RESONANCE PHENOMENA IN AN ADAPTIVELY-CONTROLLED SYSTEM
- Bananas and Banana Splits: A Parametric Degeneracy in the Hopf Bifurcation for Maps
- PERIOD-DOUBLING BIFURCATIONS FOR SYSTEMS OF DIFFERENCE EQUATIONS AND APPLICATIONS TO MODELS IN POPULATION BIOLOGY
- CHARACTERIZATION OF DYNAMIC BIFURCATIONS IN THE FREQUENCY DOMAIN
- Hopf bifurcation for maps: a frequency-domain approach
- On creation of Hopf bifurcations in discrete-time nonlinear systems