Floquet multipliers and secondary bifurcations in functional differential equations: Numerical and analytical results
DOI10.1007/BF00917872zbMath0841.34070OpenAlexW1994782836MaRDI QIDQ1905432
Bernhard Lani-Wayda, Peter Dormayer
Publication date: 4 February 1996
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00917872
Floquet multipliersperiodic solutiondelay equationsdifferential delay equationnumerical calculations of Poincaré mapssine-like nonlinearitiessymmetric solutions with countably many secondary bifurcations
Bifurcation theory for ordinary differential equations (34C23) Periodic solutions to functional-differential equations (34K13) Bifurcation theory of functional-differential equations (34K18) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Uniqueness and stability of slowly oscillating periodic solutions of delay equations with unbounded nonlinearity
- Hyperbolic sets, transversal homoclinic trajectories, and symbolic dynamics for \(C^ 1\)-maps in Banach spaces
- Measuring the strangeness of strange attractors
- Symbolic dynamics and nonlinear semiflows
- Onset of chaos in differential delay equations
- Effective computation of periodic orbits and bifurcation diagrams in delay equations
- Uniqueness and stability of slowly oscillating periodic solutions of delay equations with bounded nonlinearity
- The multiplier equation and its application to \(S\)-solutions of a differential delay equation
- Smooth symmetry breaking bifurcation for functional differential equations
- An attractivity region for characteristic multipliers of special symmetric solutions of \(\dot x(t)=\alpha f(x(t-1))\) near critical amplitudes
- Ordinary differential equations which yield periodic solutions of differential delay equations
- The qualitative analysis of a difference equation of population growth
- Theory of functional differential equations. 2nd ed
- Existence of periodic solutions of one-dimensional differential-delay equations
- Persistence of Poincaré mappings in functional differential equations (with application to structural stability of complicated behavior)
- Stability of symmetric periodic solutions with small amplitude of \(\dot x(t)=\alpha f(x(t),x(t-1))\)
- Chaotic motion generated by delayed negative feedback. I: A transversality criterion
- Solving Ordinary Differential Equations I
- Chaotic Behaviour in Simple Dynamical Systems
- Examples of transverse homoclinic orbits in delay equations
- Characteristic Multipliers and Stability of Symmetric Periodic Solutions of . x (t) = g(x(t - 1))
- Homoclinic solution and chaos in
- Oscillation and Chaos in Physiological Control Systems
- Hyperbolic periodic solutions, heteroclinic connections and transversal homoclinic points in autonomous differential delay equations
- ON A POINCARÉ-BIRKHOFF PROBLEM
This page was built for publication: Floquet multipliers and secondary bifurcations in functional differential equations: Numerical and analytical results