Realisation of ordinary differential equations by retarded functional differential equations in neighbourhoods of equilibrium points
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Publication:4857080
DOI10.1017/S030821050003033XzbMath0835.34086MaRDI QIDQ4857080
Luis T. Magalhães, Teresa Faria
Publication date: 15 April 1996
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Related Items (10)
Dissipation and compact attractors ⋮ Restrictions on the possible flows of scalar retarded functional differential equations in neighborhoods of singularities ⋮ Unnamed Item ⋮ Inverse problems and chaotic dynamics of parabolic equations on arbitrary spatial domains ⋮ Versal unfoldings for linear retarded functional differential equations. ⋮ Toroidal normal forms for bifurcations in retarded functional differential equations. I: Multiple Hopf and transcritical/multiple Hopf interaction ⋮ Robust heteroclinic cycles in delay differential equations ⋮ Unnamed Item ⋮ Complicated dynamics of parabolic equations with simple gradient dependence ⋮ Restrictions and unfolding of double Hopf bifurcation in functional differential equations
Cites Work
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Complicated dynamics in scalar semilinear parabolic equations in higher space dimension
- Theory of functional differential equations. 2nd ed
- Local theory of nonlinear analytic ordinary differential equations
- Complicated dynamics of scalar reaction diffusion equations with a nonlocal term
- Flows on centre manifolds for scalar functional differential equations
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