70
P. E. Kloeden and M. Yang
13. P.E. Kloeden, T. Lorenz, Construction of nonautonomous forward attractors, to appear in Proc.
Amer. Mat. Soc. 144(1), 259–268 (2016)
14. P.E. Kloeden, C. Pötzsche (eds.), Nonautonomous Systems in the Life Sciences. Springer Lecture
Notes in Mathematics, Mathematical Biosciences Subseries, vol. 2102 (Springer, Heidelberg,
2014)
15. P.E. Kloeden, M. Rasmussen, Nonautonomous Dynamical Systems (American Mathematical
Society, Providence, 2011)
16. P.E. Kloeden, M. Yang, Forward attraction in nonautonomous difference equations. J. Difference Eqs. Appl. 22, 513–525 (2016)
17. P.E. Kloeden, M. Yang, Introduction to Nonautonomous Dynamical Systems and their Attractors (World Scientific Publishing Co. Inc., Singapore, 2021)
18. P.E. Kloeden, C. Pötzsche, M. Rasmussen, Limitations of pullback attractors of processes. J.
Difference Eqs. Appl. 18, 693–701 (2012)
19. P.E. Kloeden, C. Pötzsche, M. Rasmussen, Discrete-time nonautonomous dynamical systems,
in Stability and Bifurcation Theory for Non-autonomous Differential Equations. CIME Lecture
Notes in Mathematics, vol. 2065, ed. by R. Johnson, M.P. Pera (Springer, Heidelberg, 2012),
pp. 35–102
20. M.A. Krasnosel’skii, The Operator of Translation along Trajectories of Differential Equations. Translations of Mathematical Monographs, vol. 19 (American Mathematical Society,
Providence, R.I., 1968)
21. V. Lakshmikantham, S. Leela, Asymptotic self-invariant sets and conditional stability, in Proceedings of International Symposium of Differential Equations and Dynamical Systems, Puerto
Rico 1965 (Academic Press, New York, 1967)
22. M. Lucas, D. Fanelli, A. Stefanovska, Nonautonomous driving induces stability in network of
identical oscillators. Phys. Rev. E 99, 012309 (2019)
23. M. Lucas, J. Newman, A. Stefanovska, Stabilization of dynamics of oscillatory systems by
nonautonomous perturbation. Phys. Rev. E 97, 042209 (2014)
24. C. Pötzsche, Geometric Theory of Discrete Nonautonomous Dynamical Systems. Lecture Notes
in Mathematics, vol. 2002 (Springer, Heidelberg, 2010)
25. M. Rasmussen, Attractivity and Bifurcation for Nonautonomous Dynamical Systems. Lecture
Notes in Mathematics, vol. 1907 (Springer, Heidelberg, 2007)
26. F. Romeiras, C. Grebogi, E. Ott, Multifractal properties of snapshot attractors of random maps.
Phys. Rev. A 41, 784–799 (1990)
27. G.R. Sell, Topological Dynamics and Ordinary Differential Equations (Van Nostrand Reinhold
Mathematical Studies, London, 1971)
28. Y. Suprunenko, A. Stefanovska, Generalized chronotaxic systems: time-dependent oscillatory
dynamics stable under continuous perturbation. Phys. Rev. E 90, 032921 (2014)
29. Y. Suprunenko, P. Clemson, A. Stefanovska, Chronotaxic systems: a new class of self-sustained
non-autonomous oscillators. Phys. Rev. Lett. 111, 024101 (2013)
30. M.I. Vishik, Asymptotic Behaviour of Solutions of Evolutionary Equations (Cambridge University Press, Cambridge, 1992)
31. W. Yejuan, L. Desheng, P.E. Kloeden, On the asymptotical behavior of nonautonomous dynamical systems. Nonlinear Anal. TMA 59, 35–53 (2004)
P. E. Kloeden and M. Yang
13. P.E. Kloeden, T. Lorenz, Construction of nonautonomous forward attractors, to appear in Proc.
Amer. Mat. Soc. 144(1), 259–268 (2016)
14. P.E. Kloeden, C. Pötzsche (eds.), Nonautonomous Systems in the Life Sciences. Springer Lecture
Notes in Mathematics, Mathematical Biosciences Subseries, vol. 2102 (Springer, Heidelberg,
2014)
15. P.E. Kloeden, M. Rasmussen, Nonautonomous Dynamical Systems (American Mathematical
Society, Providence, 2011)
16. P.E. Kloeden, M. Yang, Forward attraction in nonautonomous difference equations. J. Difference Eqs. Appl. 22, 513–525 (2016)
17. P.E. Kloeden, M. Yang, Introduction to Nonautonomous Dynamical Systems and their Attractors (World Scientific Publishing Co. Inc., Singapore, 2021)
18. P.E. Kloeden, C. Pötzsche, M. Rasmussen, Limitations of pullback attractors of processes. J.
Difference Eqs. Appl. 18, 693–701 (2012)
19. P.E. Kloeden, C. Pötzsche, M. Rasmussen, Discrete-time nonautonomous dynamical systems,
in Stability and Bifurcation Theory for Non-autonomous Differential Equations. CIME Lecture
Notes in Mathematics, vol. 2065, ed. by R. Johnson, M.P. Pera (Springer, Heidelberg, 2012),
pp. 35–102
20. M.A. Krasnosel’skii, The Operator of Translation along Trajectories of Differential Equations. Translations of Mathematical Monographs, vol. 19 (American Mathematical Society,
Providence, R.I., 1968)
21. V. Lakshmikantham, S. Leela, Asymptotic self-invariant sets and conditional stability, in Proceedings of International Symposium of Differential Equations and Dynamical Systems, Puerto
Rico 1965 (Academic Press, New York, 1967)
22. M. Lucas, D. Fanelli, A. Stefanovska, Nonautonomous driving induces stability in network of
identical oscillators. Phys. Rev. E 99, 012309 (2019)
23. M. Lucas, J. Newman, A. Stefanovska, Stabilization of dynamics of oscillatory systems by
nonautonomous perturbation. Phys. Rev. E 97, 042209 (2014)
24. C. Pötzsche, Geometric Theory of Discrete Nonautonomous Dynamical Systems. Lecture Notes
in Mathematics, vol. 2002 (Springer, Heidelberg, 2010)
25. M. Rasmussen, Attractivity and Bifurcation for Nonautonomous Dynamical Systems. Lecture
Notes in Mathematics, vol. 1907 (Springer, Heidelberg, 2007)
26. F. Romeiras, C. Grebogi, E. Ott, Multifractal properties of snapshot attractors of random maps.
Phys. Rev. A 41, 784–799 (1990)
27. G.R. Sell, Topological Dynamics and Ordinary Differential Equations (Van Nostrand Reinhold
Mathematical Studies, London, 1971)
28. Y. Suprunenko, A. Stefanovska, Generalized chronotaxic systems: time-dependent oscillatory
dynamics stable under continuous perturbation. Phys. Rev. E 90, 032921 (2014)
29. Y. Suprunenko, P. Clemson, A. Stefanovska, Chronotaxic systems: a new class of self-sustained
non-autonomous oscillators. Phys. Rev. Lett. 111, 024101 (2013)
30. M.I. Vishik, Asymptotic Behaviour of Solutions of Evolutionary Equations (Cambridge University Press, Cambridge, 1992)
31. W. Yejuan, L. Desheng, P.E. Kloeden, On the asymptotical behavior of nonautonomous dynamical systems. Nonlinear Anal. TMA 59, 35–53 (2004)