Non-Autonomous Dynamical Systems
Lower semicontinuity of attractors for non autonomous dynamical systems
... of autonomous dynamical systems that are gradient or ‘gradient-like’, ...i.e. systems for which the global attractor is given by the union of the unstable manifolds of a finite set of ...
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Ruelle-takens chaos in non-autonomous dynamical systems
... The development of the theory of topological dynamics began in the earlier part of the last century. It focused, in particular, on problems related to autonomous discrete dynamical systems given by ...
10
Uniform global attractors for non-autonomous dissipative dynamical systems
... for non-autonomous dynamical systems in special classes of infinite-dimensional phase ...of non-autonomous terms in particular evolution ...
13
Shrinking targets for non-autonomous dynamical systems corresponding to Cantor series expansions
... of autonomous dynamical systems, the evolution process of the system is determined by continuously iterating a fixed ...be non-autonomous if at each stage of the iteration process we ...
7
Control Technique of Maximum Local Lyapunov Exponent on Stable Periodic Solution in Continuous-Time Non-Autonomous Dynamical Systems
... Abstract—We previously proposed a parametric controller to avoid undesirable bifurcations of stable fixed and periodic points in discrete-time dynamical systems. The parameter regulation is derived from an ...
5
Generating Timed Trajectories for Autonomous Robotic Platforms: A Non-Linear Dynamical Systems Approach
... The dynamical systems approach has various desirable ...of autonomous differential equations, they are not explicitly indexed by time, and thus by means of coupling perceptual variables to the ...
25
On ω-limit sets of non-autonomous discrete dynamical system
... to dynamical properties for non- autonomous discrete ...in non-autonomous discrete systems, Kolyada, Snoha and Trofimchuk [8] discussed minimality of non-autonomous ...
8
Numerical determination of the basin of attraction for exponentially asymptotically autonomous dynamical systems
... To overcome this problem, we introduce a transformation of the phase space. Restricting ourselves to exponentially asymptotically autonomous systems, we can map the infinite time interval to a finite, ...
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Methods for determination and approximation of the domain of attraction in the case of autonomous discrete dynamical systems
... Theoretical research shows that the D a (0) and its boundary are complicated sets [5–9]. In most cases, they do not admit an explicit elementary representation. The domain of attraction of an asymptotically stable steady ...
15
Random exponential attractor for second order non autonomous stochastic lattice dynamical systems with multiplicative white noise in weighted spaces
... Abstract This paper is concerned with the random exponential attractor for second order non-autonomous stochastic lattice system with multiplicative white noise and unbounded nonlinearity. Firstly, we ...
21
Two types of tracing properties in non-autonomous dynamical system
... discussing autonomous dynamic ...in autonomous dynamical system has firstly appeared in the work of Anosov [1-2], and is closed related with the property of stability [3] and chaos ...an ...
7
Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation
... population systems are often subject to environmental ...population systems. As a matter of fact, stochastic population systems have recently been studied by many authors, for example,[4]-[6], ...
23
Stability analysis of non-smooth dynamical systems with an application to biomechanics
... of non-smooth periodic orbits, and provides a condition for a set A(Ω) to belong to the basin of ...namical systems theory that converse theorems exist, where Borg’s criterion is used to prove the existence ...
148
Management of complex dynamical systems
... Producing some theory on the effects of control on strongly dependent systems is a challenge. It is not even clear how to understand their dynamics in the autonomous case. Here is a starting point on the ...
15
Non-smooth Dynamical Systems and Applications
... 5.2 Introduction to Magnetic Bearing Systems and their Associated Dynamics 1 Rotating machines are prevalent in engineering applications that require power to be generated or utilised. The power rating is ...
153
On dynamical systems
... We express the quotient space in terms of a non transitive subshift of finite type, give a necessary and sufficient condition for the existence of a local produc[r] ...
113
Dynamical properties of some non-stationary, non-simple Bratteli-Vershik systems
... Bratteli-Vershik systems, also called adics, are dynamical systems defined on the in- finite path space of a Bratteli ...minimal systems, and we explicitly compute them for the subfamily of ...
144
Autonomous Security for Autonomous Systems
... As discussed earlier, an effective security mechanism for distributed networks must also have a plausible path for adoption (Table IV). One aspect of this issue is what security is provided if the mechanism is deployed ...
27
Interfacing Random and Non-Random Genetic Models by Chaotic Dynamical Systems
... Drake et al.(1991) and Stahl (1992) seemed to have found the evidence for directed mutation convincing, since claims for such emerged from some powerful experimental systems as the original demonstrations of ...
12
Artificial Biochemical Networks : Evolving Dynamical Systems to Control Dynamical Systems
... computational dynamical systems include reaction-diffusion based controllers [29] and echo state networks ...designing dynamical systems by hand, the use of evolutionary algorithms provides a ...
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