
Research Group
Jürgen Jost
Contact: Email
Phone:
+49 (0) 341 - 9959 - 550
Address:
Inselstr. 22
04103 Leipzig
Administrative Assistant:
Antje Vandenberg
Email, Phone/Fax:
+49 (0) 341 - 9959
- 552
- 658
Dynamical systems
1. Textbooks
Jost, Jürgen: Mathematical methods in biology and neurobiology
London : Springer, 2014. - X, 226 p.
(Universitext)
ISBN 978-1-4471-6352-7 ISBN 978-1-4471-6353-4
[DOI] Jost, Jürgen: Dynamical systems : examples of complex behaviour
-
Jost, Jürgen: Dynamical systems = Dong li xi tongChinese edition. - Beijing : Science Press, 2006. - VI, 189 p.ISBN 7-03-016688-4 ISBN 978-7-03-016688-3
2. Morse-Conley theory
Topics
- Morse-Conley theory for minimal surfaces
- Morse-Novikov-Conley
Jost, Jürgen: Orientable and nonorientable minimal surfaces
In: World Congress of Nonlinear Analysts '92 : proceedings of the first congress held
in Tampa, Florida, August 19 - 26, 1992 / V. Lakshmikantham (ed.)
[FREELINK] Berlin : de Gruyter, 1996. - P. 819-826
Jost, Jürgen and Michael Struwe: Morse-Conley theory for minimal surfaces of varying topological type
In: Inventiones mathematicae, 102 (1990) 1, p. 465-499
[DOI] 3. Nonlinear dynamics, synchronization
Topics
- Synchronization of coupled map lattices
- chaos synchronization
- role of transmission delays
- relation between local and global dynamics
- relation between dynamics and network structure
Shamsara, Elham ; Yamakou, Marius Emar ; Atay, Fatihcan M. and Jürgen Jost: Dynamics of neural fields with exponential temporal kernel
Lu, Wenlian ; Atay, Fatihcan M. and Jürgen Jost: Consensus in networks of discrete-time multi-agent systems : dynamical topologies
and delays
In: Delay systems : from theory to numerics and applications / T. Vyhlidal... (eds.)
Cham : Springer, 2014. - P. 155-168
(Advances in delays and dynamics ; 1)
[DOI] Jalan, Sarika ; Atay, Fatihcan M. and Jürgen Jost: Inferring global synchrony from local symbolic dynamics
In: Applications of chaos and nonlinear dynamics in science and engineering Vol. 3 / Santo Banerjee (ed.)
Berlin : Springer, 2013. - P. 161-170
(Understanding complex systems)
[DOI] Lu, Wenlian ; Atay, Fatihcan M. and Jürgen Jost: Consensus and synchronization in delayed networks of mobile multi-agents
In: Proceedings of the 18th IFAC world congress, 2011
[DOI] Milano : International Federation of Automatic Control, 2011. - P. 2362-2367
Atay, Fatihcan M. ; Jalan, Sarika and Jürgen Jost: Symbolic dynamics and synchronization of coupled map networks with multiple delays
In: Physics Letters / A, 375 (2010) 2, p. 130-135
[DOI] Atay, Fatihcan M. ; Jalan, Sarika and Jürgen Jost: Randomness, chaos, and structure
In: Complexity, 15 (2009) 1, p. 29-35
[DOI] Lu, Wenlian ; Atay, Fatihcan M. ; Jost, Jürgen and Wenlian Lu: Chaos synchronization in networks of coupled maps with time-varying topologies
In: The European physical journal / B, 63 (2008) 3, p. 399-406
[DOI] Jost, Jürgen: Dynamical networks
In: Networks : from biology to theory / Jian Feng Feng... (eds.)
[DOI] London : Springer, 2007. - P. 35-62
Atay, Fatihcan M. ; Jalan, Sarika and Jürgen Jost: Forbidden sequences in symbolic dynamics of delayed maps and networks
MIS-Preprint: 82/2007
Jalan, Sarika ; Atay, Fatihcan M. and Jürgen Jost: Inferring global synchrony from local symbolic dynamics
In: ECCS'06 : proceedings of the European Conference on Complex Systems 2006 ; towards
a science of complex systems / Jürgen Jost... (eds.)
[FREELINK] Paris : European Complex Systems Society, 2006
Jost, Jürgen and Kiran Murlidhar Kolwankar: Fractal stationary density in coupled maps
In: Fractals in engineering : new trends in theory and applications / Jacques Lévy-Véhel... (eds.)
MIS-Preprint: 95/2004 London : Springer, 2005. - P. 57-64
Jost, Jürgen and Weike Wang: A reaction-diffusion system for substances decreasing each other's production rates
4. Learning dynamics
Topics
- Spike-time dependent synaptic plasticity and network evolution
Jost, Jürgen and Kiran Murlidhar Kolwankar: Evolution of network structure by temporal learning
In: Physica / A, 388 (2009) 9, p. 1959-1966
[DOI] 5. Cellular automata
Rohlf, Thimo and Jürgen Jost: Dynamics of 1-d cellular automata with distance-dependent delays
In: Automata 2010 : International workshop on cellular automata and discrete complex systems
/ organised by INRIA, Nancy-Grand Est ; held at LORIA, Nancy, June 14 - 16 / Nazim Fates... (eds.)
Nancy-Grand Est : INRIA, 2010. - P. 309-318
6. Complexity
Topics
- Complexity measures (see also under "System theory")
- emergence in dynamical systems
Luu, Hoang Duc and Jürgen Jost: To forecast the spread of the novel coronavirus, we must attend to the quality and
consistency of the data
Jost, Jürgen ; Bertschinger, Nils and Eckehard Olbrich: Emergence
In: New ideas in psychology, 28 (2010) 3, p. 265-273
[DOI] Jost, Jürgen ; Reed-Tsochas, Felix and Peter Schuster (eds.): ECCS'06 : proceedings of the European Conference on Complex Systems 2006 ; towards
a science of complex systems
Paris : European Complex Systems Society, 2006. - 117 p.
ISBN 0-9554123-0-7 ISBN 978-0-9554123-0-1
Jost, Jürgen: On the notion of complexity
In: Theory in biosciences, 117 (1998) 2, p. 161-171
MIS-Preprint: 29/1998 7. General surveys
Atay, Fatihcan M. and Jürgen Jost: Qualitative inference in dynamical systems
In: Handbook of statistical systems biology / Michael P. H. Stumpf... (eds.)
[DOI] Chichester : Wiley & Sons, 2011. - P. 339-358
Kantz, Holger ; Helbing, Dirk and Jürgen Jost: Nonlinear physics everywhere : from molecules to cities [Editorial]
In: The European physical journal / B, 63 (2008) 3, p. 283-283
[DOI] Jost, Jürgen: Zufall, Chaos und Struktur
In: Jahrbuch 2006 / Volker Ter Meulen (ed.)
Stuttgart : Wissenschaftliche Verlagsgesellschaft, 2007. - P. 389-393
(Leopoldina / 3 ; 52)
Atay, Fatihcan M. and Jürgen Jost: Kopplung von Dynamiken und Strukturbildung
In: Max-Planck-Gesellschaft : Jahrbuch 2005
München : Max-Planck-Gesellschaft, 2005. - P. 375-378
Jost, Jürgen: Dynamische Systeme - ein Überblick