Introduction to the 2009 re-publication of the ‘Neimark–Sacker bifurcation theorem’

DOI10.1080/10236190802357750zbMath1187.37030OpenAlexW2151674885MaRDI QIDQ5192328

Robert J. Sacker

Publication date: 4 August 2009

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190802357750

zbMATH Keywords

normal formsNeimark-Sacker bifurcation theoremweighted monomials

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Dynamics induced by flows and semiflows (37C10)

Related Items (9)

Stability and bifurcation analysis in a host-parasitoid model with Hassell growth function ⋮ A discrete-time host–parasitoid model with an Allee effect ⋮ Modelling the biological invasion ofCarcinus maenas(the European green crab) ⋮ Multiple bifurcations in an early brain tumor model with piecewise constant arguments ⋮ A biographical sketch of Robert J. Sacker ⋮ Neimark–Sacker bifurcation analysis in an intraguild predation model with general functional responses ⋮ Stability of a predator–prey model with refuge effect ⋮ Neimark–Sacker bifurcation of a third-order rational difference equation ⋮ Quasiperiodic-Chaotic Neural Networks and Short-Term Analog Memory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Efficient computation of quasiperiodic oscillations in nonlinear systems with fast rotating parts
• Stability and bifurcation analysis on a discrete-time neural network
• The rainbow bridge: Hamiltonian limits and resonance in predator-prey dynamics
• Determining the self-rotation number following a Naimark-Sacker bifurcation in the periodically forced Taylor-Couette flow
• Stability of the center-stable manifold
• On the nature of turbulence
• Synchronization and propagation of bursts in networks of coupled map neurons
• Seasonality and critical community size for infectious diseases
• A New Approach to Cycling in a 2-locus 2-allele Genetic Model
• Nonlinear analyses of roll motion of a flooded ship in waves
• A new approach to the perturbation theory of invariant surfaces
• Experimental study of a Neimark–Sacker bifurcation in axially forced Taylor–Couette flow
• LECTURES ON BIFURCATIONS IN VERSAL FAMILIES
• Elements of applied bifurcation theory

This page was built for publication: Introduction to the 2009 re-publication of the ‘Neimark–Sacker bifurcation theorem’