TY - BOOK ID - 146274107 TI - Symmetry in Complex Systems AU - Machado, J. A. Tenreiro AU - Lopes, António PY - 2020 PB - Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute DB - UniCat KW - History of engineering & technology KW - multi-agent system (MAS) KW - reinforcement learning (RL) KW - mobile robots KW - function approximation KW - Opportunistic complex social network KW - cooperative KW - neighbor node KW - probability model KW - social relationship KW - adapted PageRank algorithm KW - PageRank vector KW - networks centrality KW - multiplex networks KW - biplex networks KW - divided difference KW - radius of convergence KW - Kung–Traub method KW - local convergence KW - Lipschitz constant KW - Banach space KW - fractional calculus KW - Caputo derivative KW - generalized Fourier law KW - Laplace transform KW - Fourier transform KW - Mittag–Leffler function KW - non-Fourier heat conduction KW - Mei symmetry KW - conserved quantity KW - adiabatic invariant KW - quasi-fractional dynamical system KW - non-standard Lagrangians KW - complex systems KW - symmetry-breaking KW - bifurcation theory KW - complex networks KW - nonlinear dynamical systems KW - multi-agent system (MAS) KW - reinforcement learning (RL) KW - mobile robots KW - function approximation KW - Opportunistic complex social network KW - cooperative KW - neighbor node KW - probability model KW - social relationship KW - adapted PageRank algorithm KW - PageRank vector KW - networks centrality KW - multiplex networks KW - biplex networks KW - divided difference KW - radius of convergence KW - Kung–Traub method KW - local convergence KW - Lipschitz constant KW - Banach space KW - fractional calculus KW - Caputo derivative KW - generalized Fourier law KW - Laplace transform KW - Fourier transform KW - Mittag–Leffler function KW - non-Fourier heat conduction KW - Mei symmetry KW - conserved quantity KW - adiabatic invariant KW - quasi-fractional dynamical system KW - non-standard Lagrangians KW - complex systems KW - symmetry-breaking KW - bifurcation theory KW - complex networks KW - nonlinear dynamical systems UR - https://www.unicat.be/uniCat?func=search&query=sysid:146274107 AB - 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. ER -