Publikationen
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Hier gelangen Sie zu meiner Liste der Publikationen.
Monographien[2] with T. Krisztin and J. Wu: Shape, smoothness, and invariant stratification of an attracting set for delayed monotone positive feedback. Fields Institute Monograph series vol. 11, A.M.S., Providence 1999. [1] with O. Diekmann, S.A. van Gils, and S.M. Verduyn Lunel: Delay Equations: Functional-, Complex- and Nonlinear Analysis. Springer, New York 1995. Preprints[6] A homoclinic loop generated by variable delay. 44 pp, 2012 [5] Evolution systems for differential equations with variable time lags. 22 pp, 2011. [4] Autonomous linear neutral equations with bounded Borel functions as initial data. 44 pp, 2010. [3] with P. Brunovský and A. Erdélyi: Short-term fluctuations of exchange rates driven by expectations. 16 pp, 2004. [2] Stable sets of periodic solutions of a delay differential equation. [1] with J. Mallet-Paret: Rapid oscillations are rare in scalar systems governed by monotone negative feedback with a time lag. 35 pp, 1994. Veröffentlichungen in Zeitschriften und Tagungsbänden, Habilitationsschrift, Doktorarbeit[69] with M. C. Mackey and M. Tyran-Kaminska: The mathematical legacy of Andrzej Lasota. Wiadomosci Matematyczne 48 (2012), 143-156. [68] Differential equations with locally bounded delay. Journal of Differential Equations, to appear. [67] On Poisson's state-dependent delay. Discrete and Continuous Dynamical Systems, to appear. [66] More on linearized stability for neutral equations with state-dependent delay. Differential Equations and Dynamical Systems 19 (2011), 315-333. [65] Semiflows for neutral equations with state-dependent delays. Fields Institute Communications, to appear. [64] Linearized stability for semiflows generated by a class of neutral equations, with applications to state-dependent delays. Journal of Dynamics and Differential Equations 22 (2010), 439-462. [63] with R. Qesmi: Center-stable manifolds for differential equations with state-dependent delay. Discrete and Continuous Dynamical Systems 23 (2009), 1009-1033. [62] Algebraic-delay differential systems, state-dependent delay, and temporal order of reactions. Journal of Dynamics and Differential Equations 21 (2009), 195-232. [61] A periodic solution of a differential equation with state-dependent delay. [60] State-dependent delays, linearization and periodic solutions. [59] On a model for soft landing with state-dependent delay. [58] with F. Hartung, T. Krisztin, J. Wu: Functional differential equations with state-dependent delay: Theory and applications. [57] Dynamics of delay differential equations. [56] with A.L. Skubachevskii: On the Floquet multipliers of periodic solutions to nonlinear functional differential equations. [55] Bifurcation of periodic solutions with large periods for a delay differential equation. [54] with A.L. Skubachevskii: On hyperbolicity of solutions with irrational periods to some functional differential equations. [53] with Th. Erneux: Bifurcation to large period oscillations in physical systems controlled by delay. [52] Convergence to square waves in a price model with delay. [51] with A.L. Skubachevskii: On the hyperbolicity of rapidly oscillating periodic solutions to functional differential equations. [50] Smoothness properties of semiflows for differential equations with state-dependent delay. [49] with P. Brunovský and A. Erdélyi: On a model of a currency exchange rate - local stability and periodic solutions. [48] Stable periodic motion of a system using echo for position control. [47] Differentiable semiflows for differential equations with state-dependent delay. [46] The solution manifold and -smoothness for differential equations with state dependent delay. [45] Stable periodic motion of a delayed spring. [44] with A.L. Skubachevskii: On Floquet multipliers of slowly oscillating periodic solutions of nonlinear functional differential equations. [43] with A.L. Skubachevskii: On the spectrum of the monodromy operator for slowly oscillating periodic solutions of functional differential equations. [42] Stable periodic motion of a system with state-dependent delay. [41] Contracting return maps for monotone delayed feedback. [40] Contracting return maps for some delay differential equations. [39] with T. Krisztin: Unique periodic orbits for delayed positive feedback and the global attractor. [38] with T. Krisztin and J. Wu: The structure of an attracting set defined by delayed and monotone positive feedback. [37] The singularities of an attractor of a delay differential equation. [36] with M. Yebdri: Smoothness of the attractor of almost all solutions of a delay differential equation. [35] with B. Lani-Wayda: Chaotic motion generated by delayed negative feedback. Part II: Construction of nonlinearities. [34] The two-dimensional attractor of . [33] with B. Lani-Wayda: Chaotic motion generated by delayed negative feedback. Part I: A transversality criterion. [32] Unstable manifolds of periodic orbits of a differential delay equation. [31] with A.F. Ivanov and B. Lani-Wayda: Unstable hyperbolic periodic solutions of differential delay equations. [30] A differential delay equation with a planar attractor. [29] An invariant manifold of slowly oscillating solutions for . [28] On Floquet multipliers of periodic solutions of delay equations with monotone nonlinearities. [27] with H. Steinlein: Hyperbolic sets, transversal homoclinic trajectories, and symbolic dynamics for -maps in Banach spaces. [26] Bifurcation from a saddle connection in functional differential equations: An approach with inclination lemmas. [25] Hyperbolic periodic solutions, heteroclinic connections and transversal homoclinic points in autonomous differential delay equations. [24] with H. Steinlein: Hyperbolic sets and shadowing for noninvertible maps. [23] Homoclinic and periodic solutions of scalar differential delay equations. [22] with S.N. Chow: Characteristic multipliers and stability of symmetric periodic solutions of . [21] Bifurcation from homoclinic to periodic solutions by an inclination lemma with pointwise estimate. [20] Inclination lemmas with dominated convergence. [19] Dynamics of feedback systems with time lag. [18] A uniqueness problem for a nonlinear differential delay equation. [17] Bifurcation from a heteroclinic solution in differential delay equations. [16] with U. an der Heiden: Chaos in differential delay equations. [15] Bifurcation from periodic solutions in functional differential equations. [14] with U. an der Heiden: Existence of chaos in control systems with delayed feedback. [13] Density of slowly oscillating solutions of . [12] Delay equations: Instability and the trivial fixed point's index. [11] Homoclinic solution and chaos in . [10] with U. an der Heiden and M.C. Mackey: Complex oscillations in a simple deterministic neuronal network. [9] On instability, -limit sets, and periodic solutions of nonlinear autonomous differential delay equations. [8] A theorem on the amplitudes of periodic solutions of delay equations, with an application to bifurcation. [7] Über Ejektivität und periodische Lösungen bei Funktionaldifferentialgleichungen mit verteilter Verzögerung. [6] On the eigenvalues of linear autonomous differential delay equations. [5] On a transcendental equation in the stability analysis of a population growth model. [4] Stability of attractivity regions for autonomous functional differential equations. [3] Existence of a non-constant periodic solution of a nonlinear functional differential equation representing the growth of a single species population. [2] Asymptotic stability for some functional differential equations. [1] Lineare Partielle Differentialoperatoren mit kompakter Einbettung. |

