dynamical system


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dynamical system

[dī¦nam·ə·kəl ′sis·təm]
(mathematics)
An abstraction of the concept of a family of solutions to an ordinary differential equation; namely, an action of the real numbers on a topological space satisfying certain “flow” properties.
References in periodicals archive ?
We underline that the Hamiltonian flow conserves the phase space volume, while the Hamiltonian H is a first integral of the Hamiltonian dynamical system.
Connecting orbits are very important in the global study of dynamical systems, acting as separatrices of solutions in the phase portrait, giving a better understanding of the behavior of nearby solutions.
We use this equivalence to suggest a class of resolvent dynamical system associated with quasi variational inclusion (2.
But pictures by themselves aren't enough to characterize a dynamical system.
One approach to studying dynamical systems involves converting a differential equation or some other complicated mathematical expression into a kind of game played with specific rules for manipulating sequences of symbols or digits--often just zeros and ones.
These issues and the methods to resolve them are of great importance also for other models in cellular biology and also for slow-fast dynamical systems in general.
Mirzakhani found that in dynamical systems evolving in ways that twist and stretch their shape, the systems' trajectories "are tightly constrained to follow algebraic laws," said McMullen.
In a similar way we can characterize the distribution of energy in stationary random processes using correlation analysis, respectively their internal structure and apply this procedure for needs of spectral analysis and optimization of combined dynamical systems dynamical properties.
Devoted to the study of the classical and quantum dynamics of physics theories where the Lagrangian exhibits local (gauge) symmetries, the purpose of this text is to both introduce this field of constrained dynamical systems and provide tools for quantizing such systems.
To be published quarterly both in print and electronically, "International Journal of Biomathematics" will present information on the latest developments in biomathematics, mathematical ecology, infectious disease dynamical systems, biostatistics and bioinformatics.

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