Prof. Dr. Bernhard Lani-Wayda

Profile

Academic positionLecturer, Assistant Professor, Researcher
Research fieldsOrdinary differential equations,Dynamical systems and ergodic theory
Keywordsdelay-Gleichungen, Attraktoren, globale Dynamik, chaotisches Verhalten

Current contact address

CountryGermany
CityGießen
InstitutionJustus-Liebig-Universität Gießen
InstituteMathematisches Institut
Homepagehttps://www.uni-giessen.de/fbz/fb07/fachgebiete/mathematik/mathematik/ags/analysis/personen/prof/lani-wayda/homepage

Host during sponsorship

Prof. Dr. Urs KirchgraberMathematik, ETH-Zentrum, ETH Zürich, Zürich
Start of initial sponsorship01/12/1991

Programme(s)

1991Feodor Lynen Research Fellowship Programme

Publications (partial selection)

2020 Ivanov, A. and Lani-Wayda, B.: Periodic solutions for an N-dimensional cyclic feedback system with delay. In: J. Differential Equations, 268, 2020, 5366-5412
2018Burkhardt, S., Elm, M.T., Klar, P.J., and Lani-Wayda, B.: In Situ Monitoring of Lateral Hydrogen Diffusion in Amorphous and Polycrystalline $\text{WO}_3$ Thin Films. In: Advanced Materials Interfaces 5, 2018,
2013Lani-Wayda, B.:: Hopf Bifurcation for Retarded Functional Differential Equations and for Semiflows in Banach Spaces. In: J. Dynam. Differential Equations 25, 2013, 1159-1199
2010Lani-Wayda, B.: Change of the attractor structure for $\dot x(t)=f(x(t-1))$ when $f$ changes from monotone to non-monotone negative feedback. In: J. Differential Equations 248, 2010, 1120-1142
2006Ivanov, A., and Lani-Wayda, B.: Stability and instability criteria for Kaplan-Yorke solutions. In: Z. Angew. Math. Phys. 57, 2006, 1-29
2005 Lani-Wayda, B., and Schneider, K.: Delayed loss of stability in differential equations with retarded argument. In: SIAM J. Math. Anal. 36 ,, 36, 2005, 1522-1539
2004A.F. Ivanov, Bernhard Lani-Wayda: Periodic solutions for three-dimensional non-monotone cyclic systems with time delays. In: Discrete Contin. Dyn. Syst. , 2004, 667-692
2002P. Dormayer, A.F. Ivanov, B. Lani-Wayda: Floquet multipliers of rapidly oscillating periodic solutions of delay equations. In: Tohoku Math. J. , 2002, 419-441
2002Lani-Wayda, B.: Representing Poincaré maps by return times. In: A. Galves, J.K. Hale, C. Rocha, Differential Equations and Dynamical Systems. American Mathematical Society, Providence, RI. 2002. 217-233
2002Lani-Wayda, B., and Srzednicki, R.: The Lefschetz fixed point theorem and symbolic dynamics in delay equations. . In: Ergodic Theory and Dynam. Systems 22, 2002, 1215-1232
2001Lani-Wayda, B.: Wandering solutions of delay equations with sine-like feedback. American Mathematical Society, Providence, Rhode Island, 2001
2000 Lani-Wayda, B.: Equivalence of the Euler equation with a variational problem. In: J. Math. Fluid Mech. 1, 2000, 388-408
1999 Lani-Wayda, B.: Erratic solutions of simple delay equations. In: Trans. Amer. Math. Soc. 351, 1999, 901-945
1996Bernhard Lani-Wayda, Hans-Otto Walther: Chaotic motion generated by negative delayed feedback. Part II: Construction of Nonlinearities. . In: Math. Nachr., 1996, 141-211
1995Bernhard Lani-Wayda, Hans-Otto Walther: Chaotic motion generated by negative delayed feedback. Part I: A transversality criterion . In: Differential Integral Equations , 1995, 1407-1452
1995 Dormayer, P. and Lani-Wayda, B.:: Floquet multipliers and Secondary Bifurcations in Functional Differential Equations. Numerical and Analytical Results.. In: Z. Angew. Math. Phys. 46 1995, 823-858
1995Bernhard Lani-Wayda: Hyperbolic sets, Shadowing and Persistence for Noninvertible Mappings in Banach Spaces. Pitman Research Note in Mathematics No. 334, Longman Group Ltd , 1995 (144 Seiten), 1995
1995Bernhard Lani-Wayda: Persistence of Poincaré Mappings in functional differential equations (with application to structural stability of complicated behavior). . In: J. Dynam. Differential Equations , 1995, 1-71
1992A. F. Ivanov, B. Lani-Wayda, H.-O. Walther: Unstable hyperbolic periodic solutions of differential delay equations. In: R.P. Agarwal, Recent Trends in Differential Equations. R.P. Agarwal, 1992. 301-316
n.n. Lani-Wayda, B. and Walther, H.-O.: A Shilnikov phenomenon due to state-dependent delay, by means of the fixed point index. n.n.,