Search results
Results from the WOW.Com Content Network
The attractor was first observed in simulations, then realized physically after Leon Chua invented the autonomous chaotic circuit which became known as Chua's circuit. [1] The double-scroll attractor from the Chua circuit was rigorously proven to be chaotic [2] through a number of Poincaré return maps of the attractor explicitly derived by way ...
The frequency response of this oscillator describes the amplitude of steady state response of the equation (i.e. ()) at a given frequency of excitation . For a linear oscillator with β = 0 , {\displaystyle \beta =0,} the frequency response is also linear.
The phase space is the horizontal complex plane; the vertical axis measures the frequency with which points in the complex plane are visited. The point in the complex plane directly below the peak frequency is the fixed point attractor. A fixed point of a function or transformation is a point that is mapped to itself by the function or ...
The Rössler attractor Rössler attractor as a stereogram with =, =, =. The Rössler attractor (/ ˈ r ɒ s l ər /) is the attractor for the Rössler system, a system of three non-linear ordinary differential equations originally studied by Otto Rössler in the 1970s.
Chua's circuit (also known as a Chua circuit) is a simple electronic circuit that exhibits classic chaotic behavior. This means roughly that it is a "nonperiodic oscillator"; it produces an oscillating waveform that, unlike an ordinary electronic oscillator , never "repeats".
In the bifurcation theory, a bounded oscillation that is born without loss of stability of stationary set is called a hidden oscillation.In nonlinear control theory, the birth of a hidden oscillation in a time-invariant control system with bounded states means crossing a boundary, in the domain of the parameters, where local stability of the stationary states implies global stability (see, e.g ...
The circuit contains: a triode, a resistor R, a capacitor C, a coupled inductor-set with self inductance L and mutual inductance M. In the serial RLC circuit there is a current i, and towards the triode anode ("plate") a current i a, while there is a voltage u g on the triode control grid. The Van der Pol oscillator is forced by an AC voltage ...
An attractor network is a type of recurrent dynamical network, that evolves toward a stable pattern over time.Nodes in the attractor network converge toward a pattern that may either be fixed-point (a single state), cyclic (with regularly recurring states), chaotic (locally but not globally unstable) or random (). [1]