TOOLS FOR NETWORK DYNAMICS
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Publication:5702212
DOI10.1142/S0218127405012715zbMath1089.37017arXivcond-mat/0304640OpenAlexW2101943223MaRDI QIDQ5702212
Publication date: 1 November 2005
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/cond-mat/0304640
Dynamical systems in biology (37N25) Neural networks for/in biological studies, artificial life and related topics (92B20) Stability of solutions to ordinary differential equations (34D20) Dynamics induced by flows and semiflows (37C10) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Complex behavior and chaotic systems of ordinary differential equations (34C28)
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Network dynamics: tools and examples, Network reorganization driven by temporal interdependence of its elements, DYNAMICS AND CODING OF A BIOLOGICALLY-MOTIVATED NETWORK, Ergodic parameters and dynamical complexity
Cites Work
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- Logical identification of all steady states: The concept of feedback loop characteristic states
- Bifurcation to infinitely many sinks
- Arcs of discrete dynamics and constants of motion
- The Newhouse set has a positive Hausdorff dimension
- Modeling the complexity of genetic networks: Understanding multigenic and pleiotropic regulation.
- Computational mechanics of cellular automata: an example
- Simple models for bifurcations creating horseshoes
- Generating functions for noncanonical maps
- The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
- Collective synchronization of pulse-coupled oscillators and excitable units
- Infinitely many coexisting strange attractors
- Equilibrium measures for coupled map lattices: Existence, uniqueness and finite-dimensional approximations
- Mode-locking and rotational chaos in networks of oscillators: A mathematical framework
- High dimension diffeomorphisms displaying infinitely many periodic attractors
- Dynamical behaviour of biological regulatory networks. I: Biological role of feedback loops and practical use of the concept of the loop- characteristic state
- A class of convergent neural network dynamics
- A dynamical characterization of the small world phase
- Statistical mechanics of complex networks. Selected contributions from the XVIII Sitges Conference ``Statistical mechanics of complex networks, Sitges, Barcelona, Spain, June 10--14, 2002
- Attractors and time averages for random maps
- Multiple attractors and resonance in periodically forced population models
- The calculi of emergence: Computation, dynamics and induction
- Extended symbolic dynamics in bistable CML: Existence and stability of fronts
- Clustering and synchronization with positive Lyapunov exponents
- Diffeomorphisms with infinitely many sinks
- Necessary Conditions for Multistationarity and Stable Periodicity
- Positive and Negative Circuits in Dynamical Systems
- ON THE LOCAL HAMILTONIAN STRUCTURE OF VECTOR FIELDS
- Statistical mechanics of complex networks
- Deformation of Hamiltonian dynamics and constants of motion in dissipative systems
- Decomposition of vector fields and mixed dynamics
- Cellular neural networks: theory
- Stability of invariant circles in a class of dissipative maps
- ON SMALL RANDOM PERTURBATIONS OF SOME SMOOTH DYNAMICAL SYSTEMS
- Experimental Implementation of Migrations in Multiple-Attractor Systems
- TUTORIAL ON NEUROBIOLOGY: FROM SINGLE NEURONS TO BRAIN CHAOS
- STEADY STATES, LIMIT CYCLES, AND CHAOS IN MODELS OF COMPLEX BIOLOGICAL NETWORKS
- Coupled map lattices with phase transition
- Topological properties of linearly coupled expanding map lattices
- Spacetime chaos in coupled map lattices
- Multistability and the control of complexity
- On the global orbits in a bistable CML
- Collective dynamics of ‘small-world’ networks
- Exploring complex networks
- Neurons with graded response have collective computational properties like those of two-state neurons.
- Pattern formation outside of equilibrium
- Structure-generating mechanisms in agent-based models
- From synchronization to multistability in two coupled quadratic maps
- Ising-type and other transitions in one-dimensional coupled map lattices with sign symmetry
- Computational mechanics: pattern and prediction, structure and simplicity.