Mathematical control of complex systems 2013 [PDF]
, 2014 Mathematical control of complex systems have already become an ideal research area for control engineers, mathematicians, computer scientists, and biologists to understand, manage, analyze, and interpret functional information/dynamical behaviours from ...
Dong, H +5 more
core +4 more sources
Extracting dynamical equations from experimental data is NP-hard [PDF]
, 2012 The behavior of any physical system is governed by its underlying dynamical equations. Much of physics is concerned with discovering these dynamical equations and understanding their consequences.
A. Mukherjea +9 more
core +4 more sources
Control of coupled oscillator networks with application to microgrid technologies [PDF]
, 2015 The control of complex systems and network-coupled dynamical systems is a topic of vital theoretical importance in mathematics and physics with a wide range of applications in engineering and various other sciences.
Arenas, Alex, Skardal, Per Sebastian
core +3 more sources
Solutions of the quantum dynamical Yang-Baxter equation and dynamical quantum groups [PDF]
, 1997 The quantum dynamical Yang-Baxter (QDYB) equation is a useful generalization of the quantum Yang-Baxter (QYB) equation introduced by Gervais, Neveu, and Felder.
Etingof, Pavel, Varchenko, Alexander
core +3 more sources
Bringing forth mathematical concepts: signifying sensorimotor enactment in fields of promoted action [PDF]
, 2014 Inspired by Enactivist philosophy yet in dialog with it, we ask what theory of embodied cognition might best serve in articulating implications of Enactivism for mathematics education. We offer a blend of Dynamical Systems Theory and Sociocultural Theory
Abrahamson, D, Trninic, D
core +1 more source
Dynamical Systems, Stability, and Chaos
, 2007 In this expository and resources chapter we review selected aspects of the mathematics of dynamical systems, stability, and chaos, within a historical framework that draws together two threads of its early development: celestial mechanics and control ...
Ball, R., Holmes, P.
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Renewal Systems, Sharp-Eyed Snakes, And Shifts Of Finite Type [PDF]
, 2002 Johnson and Madden look at collections of bi-infinite strings of symbols that occur in several different areas of mathematics and ask whether these collections are the same in some sense.
Johnson, Aimee S. A., Madden, K. M.
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A striking correspondence between the dynamics generated by the vector fields and by the scalar parabolic equations [PDF]
, 2011 The purpose of this paper is to enhance a correspondence between the dynamics of the differential equations $\dot y(t)=g(y(t))$ on $\mathbb{R}^d$ and those of the parabolic equations $\dot u=\Delta u +f(x,u,\nabla u)$ on a bounded domain $\Omega$.
Abraham R. +79 more
core +4 more sources
LDAcoop: Integrating non‐linear population dynamics into the analysis of clonogenic growth in vitro
Molecular Oncology, EarlyView.Limiting dilution assays (LDAs) quantify clonogenic growth by seeding serial dilutions of cells and scoring wells for colony formation. The fraction of negative wells is plotted against cells seeded and analyzed using the non‐linear modeling of LDAcoop.
Nikko Brix +13 more
wiley +1 more source
Coalgebraic Quantum Computation
, 2014 Coalgebras generalize various kinds of dynamical systems occuring in mathematics and computer science. Examples of systems that can be modeled as coalgebras include automata and Markov chains.
Roumen, Frank
core +2 more sources