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TOOLS FOR NETWORK DYNAMICS (Q5702212)

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scientific article; zbMATH DE number 2221347

Language	Label	Description	Also known as
English	TOOLS FOR NETWORK DYNAMICS	scientific article; zbMATH DE number 2221347

Statements

scholarly article

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TOOLS FOR NETWORK DYNAMICS (English)

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R. Vilela Mendes

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publication date

1 November 2005

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full work available at URL

https://arxiv.org/abs/cond-mat/0304640

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zbMATH Keywords

Network dynamics

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ergodic parameters

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biological networks

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synchronization and correlation

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MaRDI profile type

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Topological properties of linearly coupled expanding map lattices

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Statistical mechanics of complex networks

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Attractors and time averages for random maps

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A dynamical characterization of the small world phase

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Ising-type and other transitions in one-dimensional coupled map lattices with sign symmetry

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Spacetime chaos in coupled map lattices

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From synchronization to multistability in two coupled quadratic maps

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Cellular neural networks: theory

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Infinitely many coexisting strange attractors

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Extended symbolic dynamics in bistable CML: Existence and stability of fronts

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On the global orbits in a bistable CML

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ON THE LOCAL HAMILTONIAN STRUCTURE OF VECTOR FIELDS

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Pattern formation outside of equilibrium

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The calculi of emergence: Computation, dynamics and induction

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Deformation of Hamiltonian dynamics and constants of motion in dissipative systems

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Multistability and the control of complexity

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A class of convergent neural network dynamics

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TUTORIAL ON NEUROBIOLOGY: FROM SINGLE NEURONS TO BRAIN CHAOS

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Simple models for bifurcations creating horseshoes

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Coupled map lattices with phase transition

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Positive and Negative Circuits in Dynamical Systems

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Computational mechanics of cellular automata: an example

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Multiple attractors and resonance in periodically forced population models

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Neurons with graded response have collective computational properties like those of two-state neurons.

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Equilibrium measures for coupled map lattices: Existence, uniqueness and finite-dimensional approximations

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ON SMALL RANDOM PERTURBATIONS OF SOME SMOOTH DYNAMICAL SYSTEMS

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Collective synchronization of pulse-coupled oscillators and excitable units

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STEADY STATES, LIMIT CYCLES, AND CHAOS IN MODELS OF COMPLEX BIOLOGICAL NETWORKS

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Stability of invariant circles in a class of dissipative maps

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Mode-locking and rotational chaos in networks of oscillators: A mathematical framework

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Diffeomorphisms with infinitely many sinks

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The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms

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High dimension diffeomorphisms displaying infinitely many periodic attractors

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Statistical mechanics of complex networks. Selected contributions from the XVIII Sitges Conference ``Statistical mechanics of complex networks'', Sitges, Barcelona, Spain, June 10--14, 2002

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Bifurcation to infinitely many sinks

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Computational mechanics: pattern and prediction, structure and simplicity.

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Logical identification of all steady states: The concept of feedback loop characteristic states

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Necessary Conditions for Multistationarity and Stable Periodicity

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Modeling the complexity of genetic networks: Understanding multigenic and pleiotropic regulation.

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Exploring complex networks

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Dynamical behaviour of biological regulatory networks. I: Biological role of feedback loops and practical use of the concept of the loop- characteristic state

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Decomposition of vector fields and mixed dynamics

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Arcs of discrete dynamics and constants of motion

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Generating functions for noncanonical maps

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Clustering and synchronization with positive Lyapunov exponents

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Structure-generating mechanisms in agent-based models

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The Newhouse set has a positive Hausdorff dimension

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Collective dynamics of ‘small-world’ networks

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Experimental Implementation of Migrations in Multiple-Attractor Systems

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International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

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Identifiers

zbMATH Open document ID

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10.1142/S0218127405012715

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Mathematics Subject Classification ID

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zbMATH DE Number

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cond-mat/0304640

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Sitelinks

Mathematics(1 entry)

mardi Publication:5702212

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