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...

several universal phenomena of stochastic dynamical systems. Particularly, the theory identifies dynamical chaos as a spontaneous order originating from...

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

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

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...

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

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

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...

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

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

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

an American mathematician working on mathematical physics and dynamical systems theory. Born in New York, Lanford was awarded his undergraduate degree...

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

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

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

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...

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

growth scenarios. System dynamics is an aspect of systems theory as a method to understand the dynamic behavior of complex systems. The basis of the method...

Distribution theory Dynamical systems theory Elimination theory Ergodic theory Extremal graph theory Field theory Galois theory Game theory Graph theory Group...

Control theory is a field of control engineering and applied mathematics that deals with the control of dynamical systems in engineered processes and...

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

self-organization from a Dynamic systems parlance. The interconnectedness of the systems is usually analysed by moving correlations. However, the theory incorporated...

California, Berkeley, who specialized in dynamical systems theory. Bowen's work dealt primarily with axiom A systems, but the methods he used while exploring...

human–environment system (known also as a coupled human and natural system, or CHANS) characterizes the dynamical two-way interactions between human systems (e.g....

Dynamical mean-field theory (DMFT) is a method to determine the electronic structure of strongly correlated materials. In such materials, the approximation...

"Communication Theory of Secrecy Systems"; Shannon was inspired by mixing transformations used in the field of dynamical systems theory (cf. horseshoe...