Bifurcation and stability analysis of nonlinear waves in \(\mathbb {D}_n\) symmetric delay differential systems
DOI10.1016/J.JDE.2006.09.010zbMath1118.34067OpenAlexW1982825636MaRDI QIDQ863385
Publication date: 26 January 2007
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2006.09.010
delaycharacteristic equationmultistabilityspatio-temporal behaviorbidirectional ringequivariant bifurcations
Neural networks for/in biological studies, artificial life and related topics (92B20) Symmetries, invariants of ordinary differential equations (34C14) Periodic solutions to functional-differential equations (34K13) Bifurcation theory of functional-differential equations (34K18)
Related Items (12)
Cites Work
- Unnamed Item
- Singularities and groups in bifurcation theory. Volume II
- Hopf bifurcating periodic orbits in a ring of neurons with delays
- Synchronization and stable phase-locking in a network of neurons with memory.
- Restrictions and unfolding of double Hopf bifurcation in functional differential equations
- Delay equations. Functional-, complex-, and nonlinear analysis
- Complex dynamics in discrete delayed models with \(\mathbb D _4\) symmetry
- Multistability and stable asynchronous periodic oscillations in a multiple-delayed neural system
- MULTIPLE BIFURCATION ANALYSIS IN A NEURAL NETWORK MODEL WITH DELAYS
- SYNCHRONIZATION AND DESYNCHRONIZATION IN A DELAYED DISCRETE NEURAL NETWORK
- STABILITY, SYMMETRY-BREAKING BIFURCATIONS AND CHAOS IN DISCRETE DELAYED MODELS
- Symmetric functional differential equations and neural networks with memory
- Nonlinear Waves in Networks of Neurons with Delayed Feedback: Pattern Formation and Continuation
- Smoothness of Center Manifolds for Maps and Formal Adjoints for Semilinear FDEs in General Banach Spaces
- Spatio-temporal patterns of nonlinear oscillations in an excitatory ring network with delay
- Equivariant Hopf bifurcation in a ring of identical cells with delayed coupling
This page was built for publication: Bifurcation and stability analysis of nonlinear waves in \(\mathbb {D}_n\) symmetric delay differential systems