Examples of using Dynamical systems in English and their translations into Chinese
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Applied dynamical systems.
Number Theory(including ergodic theory and dynamical systems).
Therefore, not all dynamical systems can be written as equations.
Iterated functions and flows occur naturally in the study of fractals and dynamical systems.
Many real dynamical systems do not exactly fit this model;
Poincaré, celestial mechanics, dynamical systems theory and"chaos.".
Many real dynamical systems do not exactly fit this model;
This package also provides Xcos,a graphical editor to design hybrid dynamical systems models.
They're dynamical systems, constantly changing in time, as are the connections between them.”.
The latter(broader sense)generally correspond to a wide range of non-equilibrium driven dynamical systems.
The dynamical systems challenge: The mind is a dynamical system, not a computational system. .
This topological transformationprovided a basis for understanding the chaotic properties of dynamical systems.
Then it was slowly appreciated that we inherit just such dynamical systems from our parents, not only our genes.
There are concepts from dynamical systems theory that describe how a self-organizing system can form complex patterns.
His principal research interests lie in the fields of Hamiltonian chaos, nonlinear mechanics,and discontinuous dynamical systems.
These are examples of“dynamical systems”- systems that evolve over time according to fixed rules.
The curriculum is designed to promote a broad knowledge of mathematical andexperimental techniques in dynamical systems theory and control.
Some nonlinear dynamical systems, such as the Lorenz system, can produce a mathematical phenomenon known as chaos.
Chaos theory can be defined as the qualitative study ofunstable a periodic behavior in deterministic non-linear dynamical systems(Kellert, 1993).
Back to your question, there are many dynamical systems that can be described by equations but not necessarily by algorithms.
These attractors, which are relevant to physical and biological applications,can thus be expected to occur more commonly in dynamical systems than previously thought.
Some nonlinear dynamical systems, like the Lorenz system, may create a mathematical phenomenon referred to as chaos.
This is a recurring theme in my thesis,which combines tools from control theory, dynamical systems, harmonic analysis and theoretical computer science.”.
The option in control and dynamical systems(CDS) is open to students with an undergraduate degree in engineering, mathematics, or science.
Furthermore, he said, this novel approach of suppressing instabilities and chaos with complex geometries canbe applied to numerous other unstable dynamical systems.
The last part of the book examines two-dimensional dynamical systems, strange attractors, cellular automata, and chaotic differential equations.
These dynamical systems describe surfaces with many handles, like pretzels, whose shape is evolving over time by twisting and stretching in a precise way.
A structural transition in a ferroelastic material, caused by an increase or decrease in temperature,resembles the periodic doubling seen in non-linear dynamical systems.
Because complex systems are dynamical systems they change over time, and prior states may have an influence on present states.
Our method is based on compressive sensing and we formulate a general framework encompassing continuous and discrete-time,and evolutionary-game type of dynamical systems as well.

