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Chaos: An Interdisciplinary Journal of Nonlinear Science, 1992
The spectra of quantized chaotic billiards from the point of view of scattering theory are discussed. It is shown how the spectral and resonance density functions both fluctuate about a common mean. A semiclassical treatment explains this in terms of classical scattering trajectories and periodic orbits of the Poincaré scattering map.
Eyal, Doron, Uzy, Smilansky
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The spectra of quantized chaotic billiards from the point of view of scattering theory are discussed. It is shown how the spectral and resonance density functions both fluctuate about a common mean. A semiclassical treatment explains this in terms of classical scattering trajectories and periodic orbits of the Poincaré scattering map.
Eyal, Doron, Uzy, Smilansky
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AIP Conference Proceedings, 2018
In the regards of chaos theory, new concepts such as complexity, determinism, quantum mechanics, relativity, multiple equilibrium, complexity, (continuously) instability, nonlinearity, heterogeneous agents, irreguhirity were widely questioned in economics.
Bildirici, Melike Elif +2 more
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In the regards of chaos theory, new concepts such as complexity, determinism, quantum mechanics, relativity, multiple equilibrium, complexity, (continuously) instability, nonlinearity, heterogeneous agents, irreguhirity were widely questioned in economics.
Bildirici, Melike Elif +2 more
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SIAM Journal on Applied Dynamical Systems, 2011
Shadowing is a method of backward error analysis that plays a important role in hyperbolic dynamics. In this paper, the shadowing by containment framework is revisited, including a new shadowing theorem. This new theorem has several advantages with respect to existing shadowing theorems: It does not require injectivity or differentiability, and its ...
Goldsztejn, Alexandre +2 more
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Shadowing is a method of backward error analysis that plays a important role in hyperbolic dynamics. In this paper, the shadowing by containment framework is revisited, including a new shadowing theorem. This new theorem has several advantages with respect to existing shadowing theorems: It does not require injectivity or differentiability, and its ...
Goldsztejn, Alexandre +2 more
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Physical Review E, 2005
This work combines the theory of chaotic synchronization with the theory of information in order to introduce the chaotic channel, an active medium formed by connected chaotic systems. This subset of a large chaotic net represents the path along which information flows.
Baptista, Murilo da Silva +1 more
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This work combines the theory of chaotic synchronization with the theory of information in order to introduce the chaotic channel, an active medium formed by connected chaotic systems. This subset of a large chaotic net represents the path along which information flows.
Baptista, Murilo da Silva +1 more
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Chaotic Politics, Chaotic Relationships
2013Political conflicts have great potentiality for social conflicts in society. Reviewing history shows that political collisions have affected significantly the relationships between nations. Ian McEwan’s contemporary fiction is in fact demonstration of conflicts in the twentieth century, and this papers aims to introduce a novel picture of politics ...
Rosli Talif, Mina Abbasiyannejad
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New Chaotic Attractors and New Chaotic Circuits [PDF]
International Journal of Advancements in Computing Technology, 2012 A novel two – dimensional chaotic system is introduced. The new system exhibits gallery of new chaotic attractors in numerical simulations. The dynamical of new system is analyzed through equilibrium point structure. The nonlinearity is characterized by tan hyperbolic function. The simple chaotic circuit of the proposed system is presented.
F. Rahma +3 more
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Chaotic neural networks and chaotic annealing
Neurocomputing, 2000Abstract A simple model of single neuron with chaotic dynamics is proposed. Neural networks coupled by such neurons have the property of temporal retrieval of stored patterns in a chaotic way. The network is also studied from the viewpoint of optimization.
Changsong Zhou, Tian-lun Chen
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Chaotic sets and chaotic attractors
2001Invariant, attracting sets and attractors with a structure more complicated than that of periodic or quasiperiodic sets are called chaotic. Before providing precise mathematical definitions of the properties of chaotic systems, let us first try to describe them in a broad, nonrigorous manner.
Alfredo Medio, Marji Lines
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Chaos, Solitons & Fractals, 1995
The search of a profit maximum by a monopolistic firm is studied, given a demand function with variable elasticity of demand. The system has multiple optimal solutions, so the search algorithm may result in chaotic behaviour.
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The search of a profit maximum by a monopolistic firm is studied, given a demand function with variable elasticity of demand. The system has multiple optimal solutions, so the search algorithm may result in chaotic behaviour.
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