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Symmetry in Complex Systems
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Complex systems with symmetry arise in many fields, at various length scales, including financial markets, social, transportation, telecommunication and power grid networks, world and country economies, ecosystems, molecular dynamics, immunology, living organisms, computational systems, and celestial and continuum mechanics. The emergence of new orders and structures in complex systems means symmetry breaking and transitions from unstable to stable states. Modeling complexity has attracted many researchers from different areas, dealing both with theoretical concepts and practical applications. This Special Issue fills the gap between the theory of symmetry-based dynamics and its application to model and analyze complex systems.
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Keywords
- adapted PageRank algorithm
- adiabatic invariant
- Banach space
- Bifurcation theory
- biplex networks
- Caputo derivative
- complex networks
- complex systems
- conserved quantity
- cooperative
- divided difference
- fourier transform
- Fractional calculus
- Function approximation
- generalized Fourier law
- History of engineering & technology
- Kung–Traub method
- Laplace transform
- Lipschitz constant
- local convergence
- Mei symmetry
- Mittag–Leffler function
- Mobile robots
- multi-agent system (MAS)
- multiplex networks
- neighbor node
- networks centrality
- non-Fourier heat conduction
- non-standard Lagrangians
- Nonlinear dynamical systems
- Opportunistic complex social network
- PageRank vector
- probability model
- quasi-fractional dynamical system
- radius of convergence
- reinforcement learning (RL)
- social relationship
- symmetry-breaking
- Technology, engineering, agriculture
- Technology: general issues