Jürgen Jost
Publikationen

Max-Planck-Institut für Mathematik in den Naturwissenschaften

Telefon:
+49 (0) 341 - 9959 - 550

Fax:
+49 (0) 341 - 9959 - 555

Email

Adresse:
Inselstr. 22
04103 Leipzig
Deutschland

Dynamical systems

1. Textbooks

Jost, Jürgen: Mathematical methods in biology and neurobiology
London : Springer, 2014. - X, 226 p.
ISBN 978-1-4471-6352-7 ISBN 978-1-4471-6353-4 (e-ISBN)
[DOI]

Jost, Jürgen: Dynamical systems : examples of complex behaviour
Berlin [u. a.] : Springer, 2005. - VIII, 189 p.
(Universitext)
ISBN 3-540-22908-6
[DOI]

  • Jost, Jürgen: Dynamical systems = Dong li xi tong
    Chinese edition. - Beijing : Science Press, 2006. - VI, 189 p.
    ISBN 7-03-016688-4 ISBN 978-7-03-016688-3

2. Morse-Conley theory

Fan, Huijun and Jürgen Jost: Conley index theory and Novikov-Morse theory
In: Pure and applied mathematics quarterly, 1 (2005) 4, p. 939-971
MIS-Preprint: 99/2003

Fan, Huijun and Jürgen Jost: Novikov-Morse theory for dynamical systems
In: Calculus of variations and partial differential equations, 17 (2003) 1, p. 29-73
MIS-Preprint: 77/2000 [DOI]

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.)
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]

Topics

Morse-Conley theory for minimal surfaces

Morse-Novikov-Conley

3. Nonlinear dynamics, synchronization

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
(Understanding complex systems)

Jost, Jürgen ; Kell, Martin and Christian S. Rodrigues: Representation of Markov chains by random maps : existence and regularity conditions
MIS-Preprint: 49/2012 [ARXIV]

Lu, Wenlian ; Atay, Fatihcan M. and Jürgen Jost: Consensus and synchronization in discrete-time networks of multi-agents with stochastically switching topologies and time delays
In: Networks and heterogeneous media, 6 (2011) 2, p. 329-349
MIS-Preprint: 30/2011 [DOI]

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]

Bauer, Frank ; Atay, Fatihcan M. and Jürgen Jost: Synchronized chaos in networks of simple units
In: epl, 89 (2010) 2, 20002
MIS-Preprint: 46/2009 [DOI]

Bauer, Frank ; Atay, Fatihcan M. and Jürgen Jost: Synchronization in discrete-time networks with general pairwise coupling
In: Nonlinearity, 22 (2009) 10, p. 2333-2351
MIS-Preprint: 57/2009 [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.)
London : Springer, 2007. - P. 35-62
[DOI]

Atay, Fatihcan M. ; Jalan, Sarika and Jürgen Jost: Forbidden sequences in symbolic dynamics of delayed maps and networks
MIS-Preprint: 82/2007

Lu, Wenlian ; Atay, Fatihcan M. and Jürgen Jost: Synchronization of discrete-time dynamical networks with time-varying couplings
In: SIAM journal on mathematical analysis, 39 (2007) 4, p. 1231-1259
MIS-Preprint: 48/2007 [DOI]

Atay, Fatihcan M. ; Biyikoglu, Türker and Jürgen Jost: Network synchronization : spectral versus statistical properties
In: Physica / D, 224 (2006) 1-2, p. 35-41
MIS-Preprint: 118/2006 [DOI]

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.)
Paris : European Complex Systems Society, 2006
[FREELINK]

Jalan, Sarika ; Jost, Jürgen and Fatihcan M. Atay: Symbolic synchronization and the detection of global properties of coupled dynamics from local information
In: Chaos, 16 (2006) 3, 033124
MIS-Preprint: 40/2006 [DOI]

Jost, Jürgen and Kiran Murlidhar Kolwankar: Global analysis of synchronization in coupled maps
In: International journal of bifurcation and chaos in applied sciences and engineering, 16 (2006) 12, p. 3695-3703
MIS-Preprint: 60/2004 [DOI]

Atay, Fatihcan M. ; Biyikoglu, Türker and Jürgen Jost: On the synchronization of networks with prescribed degree distributions
In: IEEE transactions on circuits and systems / 1, 53 (2006) 1, p. 92-98
MIS-Preprint: 39/2004 [DOI]

Jalan, Sarika ; Atay, Fatihcan M. and Jürgen Jost: Detection of synchronised chaos in coupled map networks using symbolic dynamics
MIS-Preprint: 39/2006 [ARXIV]

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.)
London : Springer, 2005. - P. 57-64
MIS-Preprint: 95/2004

Jost, Jürgen and Weike Wang: A reaction-diffusion system for substances decreasing each other's production rates

Atay, Fatihcan M. and Jürgen Jost: On the emergence of complex systems on the basis of the coordination of complex behaviors of their elements
In: Complexity, 10 (2004) 1, p. 17-22
MIS-Preprint: 102/2003 [DOI]

Atay, Fatihcan M. ; Jost, Jürgen and Andreas Wende: Delays, connection topology, and synchronization of coupled chaotic maps
In: Physical review letters, 92 (2004) 14, 144101
MIS-Preprint: 101/2003 [DOI]

Jost, Jürgen and Maliackal Poulo Joy: Evolving networks with distance preferences
In: Physical review / E, 66 (2002) 3, 036126
MIS-Preprint: 13/2002 [DOI]

Jost, Jürgen and Maliackal Poulo Joy: Spectral properties and synchronization in coupled map lattices
In: Physical review / E, 65 (2002) 1, pt. 2, 016201
MIS-Preprint: 65/2001 [DOI]

Gutkin, Boris ; Hely, Tim and Jürgen Jost: Noise delays bifurcation in a positively coupled neural circuit
MIS-Preprint: 54/2000 [ARXIV]

Topics

Synchronization of coupled map lattices

chaos synchronization

role of transmission delays

relation between local and global dynamics

relation between dynamics and network structure

4. Learning dynamics

Jost, Jürgen and Wei Li: Reinforcement learning in complementarity game and population dynamics
In: Physical review / E, 89 (2014) 2, 022113
MIS-Preprint: 13/2013 [DOI]

Ren, Quansheng ; Kolwankar, Kiran Murlidhar ; Samal, Areejit and Jürgen Jost: STDP-driven networks and the C. elegans neuronal network
In: Physica / A, 389 (2010) 18, p. 3900-3914
MIS-Preprint: 26/2010 [DOI] [ARXIV]

Jost, Jürgen and Kiran Murlidhar Kolwankar: Evolution of network structure by temporal learning
In: Physica / A, 388 (2009) 9, p. 1959-1966
[DOI]

Topics

Spike-time dependent synaptic plasticity and network evolution

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

Ay, Nihat ; Olbrich, Eckehard ; Bertschinger, Nils and Jürgen Jost: A geometric approach to complexity
In: Chaos, 21 (2011) 3, 037103
MIS-Preprint: 53/2011 [DOI]

Jost, Jürgen ; Bertschinger, Nils and Eckehard Olbrich: Emergence
In: New ideas in psychology, 28 (2010) 3, p. 265-273
[DOI]

Kahle, Thomas ; Olbrich, Eckehard ; Jost, Jürgen and Nihat Ay: Complexity measures from interaction structures
In: Physical review / E, 79 (2009) 2, pt. 2, 026201
MIS-Preprint: 44/2008 [DOI] [ARXIV]

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

Atay, Fatihcan M. and Jürgen Jost: On the emergence of complex systems on the basis of the coordination of complex behaviors of their elements
In: Complexity, 10 (2004) 1, p. 17-22
MIS-Preprint: 102/2003 [DOI]

Jost, Jürgen: On the notion of complexity
In: Theory in biosciences, 117 (1998) 2, p. 161-171
MIS-Preprint: 29/1998

Topics

Complexity measures (see also under "System theory")

emergence in dynamical systems

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.)
Chichester : Wiley & Sons, 2011. - P. 339-358
[DOI]

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

18.12.2014, 05:51