Symmetry in Complex Systems

• Other Authors: Machado, J. A. Tenreiro (Editor), Lopes, António (Editor)
• Format: Electronic Book Chapter
• Language: English
• Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2020
• Subjects: History of engineering & technology; multi-agent system (MAS); reinforcement learning (RL); mobile robots; function approximation; Opportunistic complex social network; cooperative; neighbor node; probability model; social relationship; adapted PageRank algorithm; PageRank vector; networks centrality; multiplex networks; biplex networks; divided difference; radius of convergence; Kung-Traub method; local convergence; Lipschitz constant; Banach space; fractional calculus; Caputo derivative; generalized Fourier law; Laplace transform; Fourier transform; Mittag-Leffler function; non-Fourier heat conduction; Mei symmetry; conserved quantity; adiabatic invariant; quasi-fractional dynamical system; non-standard Lagrangians; complex systems; symmetry-breaking; bifurcation theory; complex networks; nonlinear dynamical systems
• Online Access: DOAB: download the publication; DOAB: description of the publication

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.