Scaling law in saddle-node bifurcations for one-dimensional maps: a complex variable approach
From MaRDI portal
Publication:437175
DOI10.1007/s11071-011-0004-8zbMath1242.37034OpenAlexW1992502950MaRDI QIDQ437175
Publication date: 17 July 2012
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-011-0004-8
Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)
Related Items (7)
The generalized M-J sets for bicomplex numbers ⋮ On chaos, transient chaos and ghosts in single population models with Allee effects ⋮ Dynamical mechanism behind ghosts unveiled in a map complexification ⋮ Bifurcation Gaps in Asymmetric and High-Dimensional Hypercycles ⋮ Discontinuity-induced bifurcation cascades in flows and maps with application to models of the yeast cell cycle ⋮ Critical slowing down close to a global bifurcation of a curve of quasi-neutral equilibria ⋮ Stochastic Hopf bifurcation analysis in a stochastic lagged logistic discrete-time system with Poisson distribution coefficient
Cites Work
- Unnamed Item
- From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators
- The role of cooperation and parasites in nonlinear replicator delayed extinctions
- Allee effects, extinctions, and chaotic transients in simple population models
- Delayed transitions in non-linear replicator networks: about ghosts and hypercycles
- GHOSTS IN THE ORIGINS OF LIFE?
- Scaling of saddle-node bifurcations: degeneracies and rapid quantitative changes
- General scaling law in the saddle–node bifurcation: a complex phase space study
- Chaos and population disappearances in simple ecological models
This page was built for publication: Scaling law in saddle-node bifurcations for one-dimensional maps: a complex variable approach