Network dynamics: tools and examples

DOI10.1007/s11071-006-1965-xzbMath1138.92301OpenAlexW2157588512MaRDI QIDQ2432339

R. Vilela Mendes

Publication date: 25 October 2006

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-006-1965-x

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Neural networks for/in biological studies, artificial life and related topics (92B20)

Cites Work

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• Variational formulation for every nonlinear problem
• Arcs of discrete dynamics and constants of motion
• Chemical oscillations, waves, and turbulence
• Generating functions for noncanonical maps
• Collective synchronization of pulse-coupled oscillators and excitable units
• Mode-locking and rotational chaos in networks of oscillators: A mathematical framework
• Weakly connected neural networks
• 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
• From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators
• Clustering and synchronization with positive Lyapunov exponents
• 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
• Absolute stability of global pattern formation and parallel memory storage by competitive neural networks
• Deformation of Hamiltonian dynamics and constants of motion in dissipative systems
• Decomposition of vector fields and mixed dynamics
• Cellular neural networks: theory
• ON SMALL RANDOM PERTURBATIONS OF SOME SMOOTH DYNAMICAL SYSTEMS
• Random perturbations of Hamiltonian systems
• Neurons with graded response have collective computational properties like those of two-state neurons.
• TOOLS FOR NETWORK DYNAMICS
• Structure-generating mechanisms in agent-based models

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