Dynamical systems theory is an area of mathematics used to describe the behavior of complex dynamical systems, usually by employing differential equations...

Control and Dynamical Systems, Caltech. Laboratory of Nonlinear Systems, Ecole Polytechnique Fédérale de Lausanne (EPFL). Center for Dynamical Systems, University...

for such dynamical systems, rendering long-term prediction of their behavior impossible in general. This can happen even though these systems are deterministic...

applying dynamical systems theory. In the DMM language is considered to be a system which includes many language subsystems. Dynamic systems are interconnected...

Supersymmetric theory of stochastic dynamics (STS) is a multidisciplinary approach to stochastic dynamics on the intersection of dynamical systems theory, statistical...

dynamical system is an object of study in the abstract formulation of dynamical systems, and ergodic theory in particular. Measure-preserving systems...

Projected dynamical systems is a mathematical theory investigating the behaviour of dynamical systems where solutions are restricted to a constraint set...

planetary system or an electron in an electromagnetic field. These systems can be studied in both Hamiltonian mechanics and dynamical systems theory. Informally...

goal-changing) systems.: 73  Chaos theory Complex system Control theory Dynamical systems theory Earth system science Ecological systems theory Industrial...

disciplines of combinatorics and dynamical systems interact in a number of ways. The ergodic theory of dynamical systems has recently been used to prove...

next according to the dynamical model. A classic developmental error has been investigated in the context of dynamical systems: The A-not-B error is proposed...

Ergodic theory is a branch of mathematics that studies statistical properties of deterministic dynamical systems; it is the study of ergodicity. In this...

dissipative system. Dissipative systems stand in contrast to conservative systems. A dissipative structure is a dissipative system that has a dynamical regime...

{\displaystyle P\Delta } is called the Stokes operator. In the theory of dynamical systems, Helmholtz decomposition can be used to determine "quasipotentials"...

In dynamical systems theory, Conley index theory, named after Charles Conley, analyzes topological structure of invariant sets of diffeomorphisms and...

computer scientist whose areas of research include Hamiltonian physics, dynamical systems, programming languages, machine learning, machine vision, and the...

equations. Deterministic system (mathematics) Linear system Partial differential equation Dynamical systems and chaos theory Chaos theory Chaos argument Butterfly...

problems in acoustics. The sections below deal with dynamical diffraction of X-rays. The dynamical theory of diffraction considers the wave field in the periodic...

the theory of dynamical systems, a crisis is the sudden appearance or disappearance of a strange attractor as the parameters of a dynamical system are...

Complex system Dynamical system Glossary of systems theory Ludwig von Bertalanffy Maximum power principle Non-equilibrium thermodynamics Open system (computing)...

In dynamical systems theory, a period-doubling bifurcation occurs when a slight change in a system's parameters causes a new periodic trajectory to emerge...

such as power grid, transportation or communication systems, complex software and electronic systems, social and economic organizations (like cities), an...

typically involves techniques from, e.g., graph theory, combinatorics, algebra, and dynamical systems rather than differential geometry. In principle...

certain dynamical systems. While there are several distinct formal definitions, informally speaking, an integrable system is a dynamical system with sufficiently...

contexts, enabling systems change. Systems thinking draws on and contributes to systems theory and the system sciences. The term system is polysemic: Robert...

study of dynamical systems, a bifurcation occurs when a small smooth change made to the parameter values (the bifurcation parameters) of a system causes...

effects. In this sense, Maxwell did not differentiate between dynamical systems and social systems. He used the concept of singularities primarily as an argument...

the contributions of mathematicians and physicists to dynamical systems theory and ergodic theory, put the varied work on dimension-like notions in these...

Introduction to Dynamical Systems Theory for Psychology, 1990. Otomar Hájek, Dynamical Systems in the Plane, 1968. Publications on Ecological systems theory: Arch...

In dynamical systems theory, an area of pure mathematics, a Morse–Smale system is a smooth dynamical system whose non-wandering set consists of finitely...