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Dynamical Systems and Bifurcation Theory

A weak bifucation theory for discrete time stochastic dynamical systems

A weak bifucation theory for discrete time stochastic dynamical systems

... a bifurcation theory of smooth stochastic dynamical systems that are governed by everywhere positive transition ...a bifurcation theory for which in the compact case, the set of ...

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Dynamical Behavior and Bifurcation Analysis of SEIR Epidemic Model and its Discretization

Dynamical Behavior and Bifurcation Analysis of SEIR Epidemic Model and its Discretization

... he dynamical system refers to the dynamic system of change over time, which includes continuous dynamical systems and discrete dynamical ...of dynamical systems, these ...

8

Bifurcation of Limit Cycles in Smooth and Non-smooth Dynamical Systems with Normal Form Computation

Bifurcation of Limit Cycles in Smooth and Non-smooth Dynamical Systems with Normal Form Computation

... erential systems associated with semisimple cases, ...form theory to simplifying the ...the systems are further ...of systems with semisimple singularities, not only for the particular cases ...

153

Management of complex dynamical systems

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

Dynamical systems and games theory

Dynamical systems and games theory

... The main result in this part is a proof for a classification of stable flows in this family, in dimension 2, first conjectured by Zeeman in 1979 stability in the pay-off matrix.. under s[r] ...

263

Propagation of uncertainty in dynamical systems

Propagation of uncertainty in dynamical systems

... Uncertainty is ubiquitous in physics, chem- istry, bioscience and especially in the social sci- ence. It is often classified into two types. One is epistemic (or reducible) uncertainty, which can possibly be reduced by ...

6

Sensitivity Methods for Dynamical Systems

Sensitivity Methods for Dynamical Systems

... In Chapter 2 we discuss sensitivity analysis and apply the theory to the logis- tic growth population model. We present a short theoretical framework for least squares estimation problems, including a discussion ...

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Dynamical systems for learning and balancing

Dynamical systems for learning and balancing

... As a starting point in our research it is proposed that familiar least squares techniques be used to learn functional representations of parameters of an ARMAX system, with convergence r[r] ...

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Applications of dynamical systems with symmetry

Applications of dynamical systems with symmetry

... This thesis examines the application of symmetric dynamical systems theory to two areas in applied mathematics: weakly coupled oscillators with symmetry, and bifurcations in flame front [r] ...

154

Modeling Nonlinear Dynamical Systems

Modeling Nonlinear Dynamical Systems

... the theory of Markov processes has developed rapidly in recent years ...mathematical theory of Markov processes in continuous time was first introduced by Kolmogorov ...

9

Dynamical stabilizers and coupled systems

Dynamical stabilizers and coupled systems

... tion, the strong stability is studied while the second subsection deals with uniform stabilization. Each of our theoretical results is applied to mathe- matical models of physics (linear thermoelasticity and thermoplate ...

10

Change of velocity in dynamical systems

Change of velocity in dynamical systems

... We cbserve that change of velocity is related to the first cohomology group of the dynamical system, and the winding numbers, due to Schwartzman, has an equivalent interpretation in term[r] ...

72

Realization of dynamical electronic systems

Realization of dynamical electronic systems

... embedded systems can be divided into multiple classes, depending on the way the common working situations are identified and pre- dicted and by the type of the utilized switching ...

10

Dynamical theory of the inverted cheerios effect

Dynamical theory of the inverted cheerios effect

... The differences between the localized-dissipation model and the full viscoelastic dynamic calculation can be interpreted in terms of true versus apparent contact angles. Figure 5(a) shows the profile in the approxima- ...

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Cellular automata and dynamical systems

Cellular automata and dynamical systems

... We obtain results on the transition from limit cycle to limit point behaviour as the rule probabilities are decreased.We also study differences between the behaviour of certain cellular [r] ...

207

ECE-205 Dynamical Systems

ECE-205 Dynamical Systems

... Finally, we use the relationship depicted in Figure 7.5, , or , where the angle is measured from the negative real axis. Note that since we usually specify a maximum allowed percent overshoot we have determined the ...

289

Aspects of Constructive Dynamical Systems

Aspects of Constructive Dynamical Systems

... The next chapter in constructive mathematics, the Russian school of recursive mathematics, was authored by Markov et al. after the second world war. How- ever, once again the practitioners of constructive mathematics ...

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Numerical Bifurcation Theory for High Dimensional Neural Models

Numerical Bifurcation Theory for High Dimensional Neural Models

... Numerical bifurcation theory involves finding and then following certain types of solutions of differential equations as parameters are varied, and determin- ing whether they undergo any bifurcations ...

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Bifurcation theory for vortices with application to boundary layer eruption

Bifurcation theory for vortices with application to boundary layer eruption

... To illustrate how our theory can be used, we apply it to the classical fluid mechanics problem of boundary layer eruption. In this problem a large vortex is convected close to a no-slip wall. This vortex induces ...

20

Bifurcation theory of a racetrack economy in a spatial economy model

Bifurcation theory of a racetrack economy in a spatial economy model

... For composite numbered cities with n = 6 and 10 (n = 2 · p) and n = 12 (n = 4 · p), stable ranges of τ for invariant solutions are depicted in Fig. 9(a). Unlike other cases, there were multiple stable solutions for the ...

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