... for **systems** of definite interest in prob- lems of physics, engineering or mathematical sciences in general, showing that these low-dimensional deterministic **systems** apparently exhibited, in a persistent ...

13

... stable **systems** are not dense ...stable **systems** are no longer seen as the ade- quate class of “robust ...Guckenheimer **and** Holmes wrote in their book [GH83, ...unstable **systems** were regarded as ...

14

... A point that we would like to emphasize throughout this paper is our belief that some sort of stability is needed (but not sufficient) in a **dynamical** system to guarantee the **computability** of its main ...

22

... applications **and** are used to describe a large variety of ...ODE **and**, in some cases, we can also use some qualitative results to better understand the dynamics of the ...on **dynamical** **systems** ...

11

... in **Dynamical** **Systems** theory, are based on **systems** of ordinary dif- ferential equations (ODEs) with analytic, indeed very often polynomial, right ...classical **systems** like the van der Pol equa- ...

20

... [5] **and** Hartman [6,7] (in 1959 **and** 1960, respectively), who showed the conjugacy of solutions as described in the paragraph above, but without constructive ...

10

... context **dynamical** properties of billiards play a principal role: if it is chaotic, then the boundary perturbation may lead to the particle ...17 **and** for annular billiards 18. Lately, using the theory of ...

5

... many **systems** of ordinary differential equations that are not written in terms of polynomials, but rather with functions involving the composition of trigonometric functions, exponentials, ...studying ...

98

... nonlinear **dynamical** **systems** possessing saddle-node equilibrium points on it is ...boundary **and** the stable, stable center **and** center manifolds of the saddle-node equilibrium points on the ...

12

... Groupoids **and** uniformities associated to irreversible **dynamical** **systems** , Fiabilitate şi durabilitate (Fiability & durability), ...Exel **and** J. Renault, Semigroups of local homeomorphisms ...

6

... nonsmooth **systems**. Our main concern is understanding the dynamics of such **systems** by means of tools in the geometric singular perturbation ...observed, **and** a comparative study of the two categories ...

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... Elaydi **and** Sacker [28, 29, 30, ...Sacker **and** Sell ...results **and** new developments concerning the periodicity of the system **and** its stability is ...periodic **systems** of the main stability ...

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... Legendre **and** Chebyshev polynomials are used for solving optimal control prob- lems (see [2], [3], [4] **and** ...Razzaghi **and** Yousefi [6] defined functions which they called Legendre wavelets for solving ...

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... This paper deals with finite topological graphs. The closed interval [x, y] is called an edge. Its two end–points x **and** y are called vertices. Thus, a graph X is a finite collection of edges with the property that ...

9

... rate **and** fecundity due to parasitic disease may also ...[54], **and** may often affect the sexes ...healthy **and** parasitized ...analysis **and** our aim here has been to identify a difference rather ...

8

... study **computability** **and** noncomputability in initial-value problems (henceforth abbreviated to IVPs) of ordinary differential equations based on the model of computable ...t **and** ˙ x denotes the ...

16

... RK) **and** conventional splitting methods (see ...linear **and** nonlinear ...splitting **and** IMEX methods the vector field decomposition is global instead of local, **and** it is not based on a ...

21

... for the impulse response of Multi-Input-Multi-Output (MIMO) **dynamical** **systems** [26]. MOR methods based on modal truncation have advantages compared to other methods due to the physical interpretation of the ...

12

... asynchronous **systems** are the non-deterministic real time- binary models of the asynchronous circuits from electrical ...circuits **and** their models have no ...the **dynamical** **systems**, thus such ...

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... of **dynamical** **systems** properties, there was a need to identify parameters to measure those properties, **and** the data appeared to reveal two parameters that might be key variables in a successful ...

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