Jürgen Jost
Direktor

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.
(Universitext)
ISBN 978-1-4471-6352-7 ISBN 978-1-4471-6353-4
[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

Topics

  • Morse-Conley theory for minimal surfaces
  • Morse-Novikov-Conley
Jost, Jürgen ; Matveev, Rostislav ; Portegies, Jacobus W. and Christian S. Rodrigues: On the regular representation of measures
MIS-Preprint: 69/2016[ARXIV]

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
[FREELINK]

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
Jost, Jürgen ; Kell, Martin and Christian S. Rodrigues: Representation of Markov chains by random maps : existence and regularity conditions
In: Calculus of variations and partial differential equations, 54 (2015) 3, p. 2637-2655
MIS-Preprint: 49/2012[DOI][ARXIV]

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 / SantoBanerjee (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
Milano : International Federation of Automatic Control, 2011. - P. 2362-2367
[DOI]

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 FengFeng... (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 / JürgenJost... (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 / JacquesLévy-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]

4. Learning dynamics

Topics

  • Spike-time dependent synaptic plasticity and network evolution
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]

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 / NazimFates... (eds.)
Nancy-Grand Est : INRIA, 2010. - P. 309-318

6. Complexity

Topics

  • Complexity measures (see also under "System theory")
  • emergence in dynamical systems
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

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 / VolkerTer 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

23.06.2017, 05:51