Found 56 Documents (Results 1–56)
Minimal chaotic networks of linear neuron-like elements with single rectification: three prototypes. (English) Zbl 07847359
Stability of heteroclinic cycles: a new approach based on a replicator equation. (English) Zbl 1542.34045
J. Nonlinear Sci. 33, No. 6, Paper No. 99, 51 p. (2023); correction ibid. 33, No. 6, Paper No. 121, 3 p. (2023).
Abundance of strange attractors near an attracting periodically perturbed network. (English) Zbl 1476.37059
Boundary dynamics of the replicator equations for neutral models of cyclic dominance. (English) Zbl 1466.92222
The role of the saddle-foci on the structure of a Bykov attracting set. (English) Zbl 1459.37026
Reviewer: Maite Grau (Lleida)
Heteroclinic cycles in a competitive network. (English) Zbl 1382.37022
Reviewer: Carlo Laing (Auckland)
Consecutive and non-consecutive heteroclinic cycles in Hopfield networks. (English) Zbl 1371.34062
Reviewer: Angela Slavova (Sofia)
Patterns of desynchronization and resynchronization in heteroclinic networks. (English) Zbl 1361.37075
A skeleton of collision dynamics: hierarchical network structure among even-symmetric steady pulses in binary fluid convection. (English) Zbl 1375.76179
Designing heteroclinic and excitable networks in phase space using two populations of coupled cells. (English) Zbl 1362.37058
Reviewer: Carlo Laing (Auckland)
Mathematical frameworks for oscillatory network dynamics in neuroscience. (English) Zbl 1356.92015
MSC:
92C20
On constructing simple examples of three-dimensional flows with multiple heteroclinic cycles. (English) Zbl 1341.34051
On the dynamics near a homoclinic network to a bifocus: switching and horseshoes. (English) Zbl 1327.34078
Heteroclinic networks in homogeneous and heterogeneous identical cell systems. (English) Zbl 1371.37083
Hierarchical heteroclinics in dynamical model of cognitive processes: chunking. (English) Zbl 1302.92016
Bifurcation diagrams and heteroclinic networks of octagonal H-planforms. (English) Zbl 1267.37053
Reviewer: Irina V. Konopleva (Ul’yanovsk)
Dynamics of coupled cell networks: synchrony, heteroclinic cycles and inflation. (English) Zbl 1254.37053
Reviewer: Angela Slavova (Sofia)
Noisy heteroclinic networks. (English) Zbl 1231.34100
Reviewer: Andrew Dale (Durban)
A new algorithm for computation of two-dimensional unstable manifolds and its applications. (Chinese. English summary) Zbl 1224.65296
A minimal system with a depth-two heteroclinic network. (English) Zbl 1204.37027
MSC:
37C80
37C29
A heteroclinic network in mode interaction with symmetry. (English) Zbl 1205.37043
MSC:
37C80
37C29
A mechanism for switching near a heteroclinic network. (English) Zbl 1204.37023
MSC:
37C29
37C80
Failure to the shortest path decision of an adaptive transport network with double edges in Plasmodium system. (English) Zbl 1159.34328
Dynamics on networks of cluster states for globally coupled phase oscillators. (English) Zbl 1167.34326
The \(1:\sqrt 2\) mode interaction and heteroclinic networks in Boussinesq convection. (English) Zbl 1141.76453
Switching along a network. (English) Zbl 1102.37013
Dumortier, Freddy (ed.) et al., EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22–26, 2003. Hackensack, NJ: World Scientific (ISBN 981-256-169-2/hbk). 449-451 (2005).
Dynamics of a class of nonlinear discrete-time neural networks. (English) Zbl 1072.39018
Reviewer: Igor Gumowski (Thoiry)
Chaos in a continuous-time Boolean network. (English) Zbl 1010.34034
Ladde, G. S. (ed.) et al., Dynamic systems and applications. Volume 3. Proceedings of the 3rd international conference, Morehouse College, Atlanta, GA, USA, May 26-29, 1999. Atlanta, GA: Dynamic Publishers. 185-192 (2001).
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