Ikeda Map
In physics and mathematics, the Ikeda map is a discrete-time dynamical system given by the complex map : z_ = A + B z_n e^ The original map was proposed first by Kensuke Ikeda as a model of light going around across a nonlinear optical resonator ( ring cavity containing a nonlinear dielectric medium) in a more general form. It is reduced to the above simplified "normal" form by Ikeda, Daido and Akimoto z_n stands for the electric field inside the resonator at the n-th step of rotation in the resonator, and A and C are parameters which indicate laser light applied from the outside, and linear phase across the resonator, respectively. In particular the parameter B \leq 1 is called dissipation parameter characterizing the loss of resonator, and in the limit of B=1 the Ikeda map becomes a conservative map. The original Ikeda map is often used in another modified form in order to take the saturation effect of nonlinear dielectric medium into account: : z_ = A + B z_n e^ A 2D ...
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Ikeda Map Simulation U=0
Ikeda may refer to: * Ikeda (surname), a Japanese surname * Ikeda (comics), a character in ''Usagi Yojimbo'' * Ikeda clan, a Japanese clan * Ikeda map, chaotic attractor * ''Ikeda'' (annelid) a genus of the family Ikedidae Places * Ikeda, Osaka in Osaka Prefecture, Japan * Ikeda, Fukui, Japan * Ikeda, Gifu, Japan * Ikeda, Hokkaidō, Japan * Ikeda, Kagawa, Shōzu District, Kagawa, Japan * Ikeda, Nagano, Japan * Ikeda, Tokushima, Miyoshi District, Tokushima, Japan * Lake Ikeda, Japan * Ikeda, Gunma, Japan * Ikeda Peace Institute in Cambridge, Massachusetts * Ikeda Route The , signed as Route 11, is one of the routes of the Hanshin Expressway system serving the Keihanshin area in Japan. It is a radial route that travels in a south to north direction from central Osaka to Itami Airport and Ikeda, Osaka, Ikeda, wi ...

Attractor
In the mathematical field of dynamical systems, an attractor is a set of states toward which a system tends to evolve, for a wide variety of starting conditions of the system. System values that get close enough to the attractor values remain close even if slightly disturbed. In finite-dimensional systems, the evolving variable may be represented algebraically as an ''n''-dimensional vector. The attractor is a region in ''n''-dimensional space. In physical systems, the ''n'' dimensions may be, for example, two or three positional coordinates for each of one or more physical entities; in economic systems, they may be separate variables such as the inflation rate and the unemployment rate. If the evolving variable is two- or three-dimensional, the attractor of the dynamic process can be represented geometrically in two or three dimensions, (as for example in the three-dimensional case depicted to the right). An attractor can be a point, a finite set of points, a curve, a manif ...
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Chaotic Maps
Chaotic was originally a Danish trading card game. It expanded to an online game in America which then became a television program based on the game. The program was able to be seen on 4Kids TV (Fox affiliates, nationwide), Jetix, The CW4Kids, Cartoon Network and Disney XD. It was brought over to the United States from Denmark by Bryan C. Gannon and Chaotic USA Entertainment Group, and produced by Chaotic USA Entertainment Group, 4Kids Productions and Bardel Entertainment. The trading card game came out 6 September 2006 in the U.S. and Canada. Each card comes with a unique code which the owner can upload onto the Chaotic website. This allows the owner to trade and play online using their own card collection. The game was well known to be the only game with a TV show, an online game, and a TCG that were all integrated. However, the online game is currently closed. History Chaotic started out as a trading card game known as "Grolls and Gorks" and an idea for a cartoon se ...
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Ikeda Sim U0
Ikeda may refer to: * Ikeda (surname), a Japanese surname * Ikeda (comics), a character in ''Usagi Yojimbo'' * Ikeda clan, a Japanese clan * Ikeda map, chaotic attractor * ''Ikeda'' (annelid) a genus of the family Ikedidae Places * Ikeda, Osaka in Osaka Prefecture, Japan * Ikeda, Fukui, Japan * Ikeda, Gifu, Japan * Ikeda, Hokkaidō, Japan * Ikeda, Kagawa, Shōzu District, Kagawa, Japan * Ikeda, Nagano, Japan * Ikeda, Tokushima, Miyoshi District, Tokushima, Japan * Lake Ikeda, Japan * Ikeda, Gunma, Japan * Ikeda Peace Institute in Cambridge, Massachusetts * Ikeda Route The , signed as Route 11, is one of the routes of the Hanshin Expressway system serving the Keihanshin area in Japan. It is a radial route that travels in a south to north direction from central Osaka to Itami Airport and Ikeda, Osaka, Ikeda, wi ...

Ikeda0900
Ikeda may refer to: * Ikeda (surname), a Japanese surname * Ikeda (comics), a character in ''Usagi Yojimbo'' * Ikeda clan, a Japanese clan * Ikeda map, chaotic attractor * ''Ikeda'' (annelid) a genus of the family Ikedidae Places * Ikeda, Osaka in Osaka Prefecture, Japan * Ikeda, Fukui, Japan * Ikeda, Gifu, Japan * Ikeda, Hokkaidō, Japan * Ikeda, Kagawa, Shōzu District, Kagawa, Japan * Ikeda, Nagano, Japan * Ikeda, Tokushima, Miyoshi District, Tokushima, Japan * Lake Ikeda, Japan * Ikeda, Gunma, Japan * Ikeda Peace Institute in Cambridge, Massachusetts * Ikeda Route The , signed as Route 11, is one of the routes of the Hanshin Expressway system serving the Keihanshin area in Japan. It is a radial route that travels in a south to north direction from central Osaka to Itami Airport and Ikeda, Osaka, Ikeda, wi ...

Ikeda0700
Ikeda may refer to: * Ikeda (surname), a Japanese surname * Ikeda (comics), a character in ''Usagi Yojimbo'' * Ikeda clan, a Japanese clan * Ikeda map, chaotic attractor * ''Ikeda'' (annelid) a genus of the family Ikedidae Places * Ikeda, Osaka in Osaka Prefecture, Japan * Ikeda, Fukui, Japan * Ikeda, Gifu, Japan * Ikeda, Hokkaidō, Japan * Ikeda, Kagawa, Shōzu District, Kagawa, Japan * Ikeda, Nagano, Japan * Ikeda, Tokushima, Miyoshi District, Tokushima, Japan * Lake Ikeda, Japan * Ikeda, Gunma, Japan * Ikeda Peace Institute in Cambridge, Massachusetts * Ikeda Route The , signed as Route 11, is one of the routes of the Hanshin Expressway system serving the Keihanshin area in Japan. It is a radial route that travels in a south to north direction from central Osaka to Itami Airport and Ikeda, Osaka, Ikeda, wi ...

Ikeda0500
Ikeda may refer to: * Ikeda (surname), a Japanese surname * Ikeda (comics), a character in ''Usagi Yojimbo'' * Ikeda clan, a Japanese clan * Ikeda map, chaotic attractor * ''Ikeda'' (annelid) a genus of the family Ikedidae Places * Ikeda, Osaka in Osaka Prefecture, Japan * Ikeda, Fukui, Japan * Ikeda, Gifu, Japan * Ikeda, Hokkaidō, Japan * Ikeda, Kagawa, Shōzu District, Kagawa, Japan * Ikeda, Nagano, Japan * Ikeda, Tokushima, Miyoshi District, Tokushima, Japan * Lake Ikeda, Japan * Ikeda, Gunma, Japan * Ikeda Peace Institute in Cambridge, Massachusetts * Ikeda Route The , signed as Route 11, is one of the routes of the Hanshin Expressway system serving the Keihanshin area in Japan. It is a radial route that travels in a south to north direction from central Osaka to Itami Airport and Ikeda, Osaka, Ikeda, wi ...

Ikeda0300
Ikeda may refer to: * Ikeda (surname), a Japanese surname * Ikeda (comics), a character in ''Usagi Yojimbo'' * Ikeda clan, a Japanese clan * Ikeda map, chaotic attractor * ''Ikeda'' (annelid) a genus of the family Ikedidae Places * Ikeda, Osaka in Osaka Prefecture, Japan * Ikeda, Fukui, Japan * Ikeda, Gifu, Japan * Ikeda, Hokkaidō, Japan * Ikeda, Kagawa, Shōzu District, Kagawa, Japan * Ikeda, Nagano, Japan * Ikeda, Tokushima, Miyoshi District, Tokushima, Japan * Lake Ikeda, Japan * Ikeda, Gunma, Japan * Ikeda Peace Institute in Cambridge, Massachusetts * Ikeda Route The , signed as Route 11, is one of the routes of the Hanshin Expressway system serving the Keihanshin area in Japan. It is a radial route that travels in a south to north direction from central Osaka to Itami Airport and Ikeda, Osaka, Ikeda, wi ...

Ikeda Map
In physics and mathematics, the Ikeda map is a discrete-time dynamical system given by the complex map : z_ = A + B z_n e^ The original map was proposed first by Kensuke Ikeda as a model of light going around across a nonlinear optical resonator ( ring cavity containing a nonlinear dielectric medium) in a more general form. It is reduced to the above simplified "normal" form by Ikeda, Daido and Akimoto z_n stands for the electric field inside the resonator at the n-th step of rotation in the resonator, and A and C are parameters which indicate laser light applied from the outside, and linear phase across the resonator, respectively. In particular the parameter B \leq 1 is called dissipation parameter characterizing the loss of resonator, and in the limit of B=1 the Ikeda map becomes a conservative map. The original Ikeda map is often used in another modified form in order to take the saturation effect of nonlinear dielectric medium into account: : z_ = A + B z_n e^ A 2D ...
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Physics
Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which relates to the order of nature, or, in other words, to the regular succession of events." Physics is one of the most fundamental scientific disciplines, with its main goal being to understand how the universe behaves. "Physics is one of the most fundamental of the sciences. Scientists of all disciplines use the ideas of physics, including chemists who study the structure of molecules, paleontologists who try to reconstruct how dinosaurs walked, and climatologists who study how human activities affect the atmosphere and oceans. Physics is also the foundation of all engineering and technology. No engineer could design a flat-screen TV, an interplanetary spacecraft, or even a better mousetrap without first understanding the basic laws of physic ...
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Chaotic Attractor
In the mathematical field of dynamical systems, an attractor is a set of states toward which a system tends to evolve, for a wide variety of starting conditions of the system. System values that get close enough to the attractor values remain close even if slightly disturbed. In finite-dimensional systems, the evolving variable may be represented algebraically as an ''n''-dimensional vector. The attractor is a region in ''n''-dimensional space. In physical systems, the ''n'' dimensions may be, for example, two or three positional coordinates for each of one or more physical entities; in economic systems, they may be separate variables such as the inflation rate and the unemployment rate. If the evolving variable is two- or three-dimensional, the attractor of the dynamic process can be represented geometrically in two or three dimensions, (as for example in the three-dimensional case depicted to the right). An attractor can be a point, a finite set of points, a curve, a manif ...
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