Dynamical systems and Chaos
Three dimensional forced damped dynamical systems with rich dynamics : bifurcations, chaos and unbounded solutions
... three-dimensional dynamical systems that can arise in mechanical and fluid-dynamical ...to chaos, and by orbits that approach stable equilib- rium ...
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Chaos and bifurcation of discontinuous dynamical systems with piecewise constant arguments
... discontinuous dynamical systems generated by piecewise constant ...discontinuous dynamical system of the Riccati type equation as an ...and chaos are ...discrete dynamical system of the ...
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Chaos and bifurcation of the Logistic discontinuous dynamical systems with piecewise constant arguments
... discontinuous dynamical systems generated by piecewise constant ...discontinuous dynamical system of the Logistic equation as an ...and chaos are ...discrete dynamical systems of ...
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Ruelle-takens chaos in non-autonomous dynamical systems
... F f acting on a metric space. First we introduce the notion of Ruelle-Takens chaos, defined in a way suitable for non-autonomous discrete systems. We then discuss the chaotic property of the product ...
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The onset of chaos in nonautonomous dissipative dynamical systems: a low-order ocean-model case study
... On the contrary, the case ε 0 = 0.05 corresponds to an NPBA: the two signals in Fig. 18a develop a large phase dif- ference after the initial transient, but are virtually identical and remain coherent at all times. Now, ...
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Chaos, strange attractors and bifurcations in dissipative dynamical systems
... attraator used to describe these attractors on which the motion appeared chaotic, was coined by Ruelle and Takens, who independently proposed strange attractor behaviour as a model of fl[r] ...
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Dynamical Properties and Chaos of the Multicellular Converter Associated With a Nonlinear Load
... Chaos is described as the irregular, unpredictable behavior of deterministic, non-linear dynamical systems. In order to have chaotic behavior, simultaneous stretching and folding in the dynamics of ...
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Interactions destroy dynamical localization with strong and weak chaos
... of systems that are chaotic in the classical ...integrable dynamical behavior to a fully chaotic ...as dynamical localization, similar to Anderson localization in disordered tight-binding models ...
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Artificial Biochemical Networks : Evolving Dynamical Systems to Control Dynamical Systems
... deterministic chaos, capturing the irregular, unpredictable fractal structured behaviour that results from a process of repeated stretching and contraction—as seen when kneading bread, hence the map’s ...
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Criteria for Instability and Chaos in Nonlinear Systems
... and chaos criteria for three-dimensional dynamical ...mensional systems allows reflecting the main aspects of the problem in a fairly simple ...dynamic systems with pronounced chaotic ...
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Management of complex dynamical systems
... stochastic systems, “nonlinearity” means “dependence” between ...nonlinear systems (where for example a local Lyapunov function can be constructed to deduce asymptotic stability from an asymptotically ...
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Sensitivity Methods for Dynamical Systems
... In Chapter 3 we considered the hybrid model with components (3.2.1) and (3.3.1), based on the widely used Sinko-Streifer equations for size-structured populations. We de- rived the partial differential equations for ...
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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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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 ...
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Realization of dynamical electronic systems
... is small, and the angular separation between the evolved and replacement elements is small. If an adequate replacement point cannot be found, the existing points are retained. This procedure is re- peated until the ...
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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 ...
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Modeling Nonlinear Dynamical Systems
... a dynamical system is an abstract mathematical object that allows one to talk about physical ...is Dynamical systems are mathematical objects used to model physical phenomena whose state (or ...
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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] ...
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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] ...
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Logical entropy of dynamical systems
... of dynamical systems; by replacing the Shannon entropy function ...a dynamical system is ...isomorphic dynamical systems have the same logical ...
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