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291,963
ON THE FIBONACCI COMPLEX DYNAMICAL SYSTEMS
"... Abstract. We consider in this paper a sequence of complex analytic functions constructed by the following procedure fn(z) = fn−1(z)fn−2(z) + c, where c ∈ C is a parameter. Our aim is to give a thorough dynamical study of this family, in particular we are able to extend the familiar notions of Juli ..."
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Abstract. We consider in this paper a sequence of complex analytic functions constructed by the following procedure fn(z) = fn−1(z)fn−2(z) + c, where c ∈ C is a parameter. Our aim is to give a thorough dynamical study of this family, in particular we are able to extend the familiar notions
DEGENERATIONS OF COMPLEX DYNAMICAL SYSTEMS
, 2013
"... We show that the weak limit of the maximal measures for any degenerating sequence of rational maps on the Riemann sphere C ̂ must be a countable sum of atoms. For a 1parameter family ft of rational maps, we refine this result by showing that the measures of maximal entropy have a unique limit on ..."
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We show that the weak limit of the maximal measures for any degenerating sequence of rational maps on the Riemann sphere C ̂ must be a countable sum of atoms. For a 1parameter family ft of rational maps, we refine this result by showing that the measures of maximal entropy have a unique limit on C ̂ as the family degenerates. The family ft may be viewed as a single rational function on the Berkovich projective line P 1 L over the completion of the field of formal Puiseux series in t, and the limiting measure on C ̂ is the “residual measure ” associated to the equilibrium measure on P1L. For the proof, we introduce a new technique for quantizing measures on the Berkovich projective line and demonstrate the uniqueness of solutions to a quantized version of the pullback formula for the equilibrium measure on P1L.
Complex Dynamical Systems,
"... per was prepared after this workshop by the organizers and participants based on the presentations and discussions at the workshop. The paper aims to review the major research achievements in the last decade, the current status, and the future directions of the BEM in the next decade. The review sta ..."
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per was prepared after this workshop by the organizers and participants based on the presentations and discussions at the workshop. The paper aims to review the major research achievements in the last decade, the current status, and the future directions of the BEM in the next decade. The review starts with a brief introduction to the BEM. Then, new developments in Green’s functions, symmetric Galerkin formulations, boundary meshfree methods, and variationally based BEM formulations are reviewed. Next,
Discovering the Hidden Structure of Complex Dynamic Systems
 IN PROC. UNCERTAINTY IN ARTIFICIAL INTELLIGENCE
, 1999
"... Dynamic Bayesian networks provide a compact and natural representation for complex dynamic systems. However, in many cases, there is no expert available from whom a model can be elicited. Learning provides an alternative approach for constructing models of dynamic systems. In this paper, we address ..."
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Cited by 36 (0 self)
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Dynamic Bayesian networks provide a compact and natural representation for complex dynamic systems. However, in many cases, there is no expert available from whom a model can be elicited. Learning provides an alternative approach for constructing models of dynamic systems. In this paper, we address
Automated design of complex dynamic systems
 PLOS ONE
"... Several fields of study are concerned with uniting the concept of computation with that of the design of physical systems. For example, a recent trend in robotics is to design robots in such a way that they require a minimal control effort. Another example is found in the domain of photonics, where ..."
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Cited by 3 (2 self)
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recent efforts try to benefit directly from the complex nonlinear dynamics to achieve more efficient signal processing. The underlying goal of these and similar research efforts is to internalize a large part of the necessary computations within the physical system itself by exploiting its inherent non
Complex Dynamical Systems and the Problems of Identity
 Emergence
, 2002
"... The philosophical problem of identity has a long history, dating back to ancient times of classical Greece. Quite early in the history of philosophy questions about the problem of identity arose in tandem with the recognition of change: If there is no change the problem of identity does not arise, s ..."
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Cited by 4 (0 self)
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The philosophical problem of identity has a long history, dating back to ancient times of classical Greece. Quite early in the history of philosophy questions about the problem of identity arose in tandem with the recognition of change: If there is no change the problem of identity does not arise, since a static thing that undergoes no alterations is simply taken to be what it is—and can clearly be identified as such. Questions concerning sameness and difference arise, however, as soon as the thing in question changes. Is it the same thing (as before)?—an ontological question. By what criteria do we tell if it is or isn’t?—an epistemological question. So questions of identity often suggest the presence of difference, and differences in time—that is, change—occasion the even more difficult philosophical question of time. With the rise of modernity and its concern with the person, the question “Who am I? ” became an even more pressing philosophical issue. Interested not so much in the issue of what makes my body the same as
Modular Interdependency in Complex Dynamical Systems
"... Hierarchical modularity is a familiar characteristic of a large class of natural dynamical systems. A normal interpretation of modularity is that interactions between subsystems are sparse compared to interactions within subsystems and this leads some to assume that the interactions between modules ..."
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Hierarchical modularity is a familiar characteristic of a large class of natural dynamical systems. A normal interpretation of modularity is that interactions between subsystems are sparse compared to interactions within subsystems and this leads some to assume that the interactions between modules
Modular Interdependency in Complex Dynamical Systems
, 2003
"... Hierarchical modularity is a familiar characteristic of a large class of natural dynamical systems. A normal interpretation of modularity is that interactions between subsystems are sparse compared to interactions within subsystems and this leads some to assume that the interactions between modu ..."
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Hierarchical modularity is a familiar characteristic of a large class of natural dynamical systems. A normal interpretation of modularity is that interactions between subsystems are sparse compared to interactions within subsystems and this leads some to assume that the interactions between
Results 1  10
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291,963