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Synchronization of chaos is a phenomenon that may occur when two or more dissipative chaotic systems are coupled.. Because of the exponential divergence of the nearby trajectories of chaotic systems, having two chaotic systems evolving in synchrony might appear surprising.
By comparison, based on the concept of attractor coexistence within the generalized Lorenz model [26] and the original Lorenz model ([36] [37]), Shen and his co-authors [35] [38] proposed a revised view that “weather possesses both chaos and order with distinct predictability”. The revised view, which is a build-up of the conventional view ...
In the fully synchronized state, all the oscillators share a common frequency, although their phases can be different. A solution for the case of partial synchronization yields a state in which only some oscillators (those near the ensemble's mean natural frequency) synchronize; other oscillators drift incoherently.
Chaos magic is a contemporary magical practice consisting of "techniques" (most frequently, entering into an altered state of consciousness and manipulating symbols) to attain objective "results" in physical reality.
Chaos: An Interdisciplinary Journal of Nonlinear Science is a monthly peer-reviewed scientific journal covering nonlinear systems and describing their manifestations in a manner comprehensible to researchers from a broad spectrum of disciplines.
Injection pulling and injection locking can be observed in numerous physical systems where pairs of oscillators are coupled together. Perhaps the first to document these effects was Christiaan Huygens, the inventor of the pendulum clock, who was surprised to note that two pendulum clocks which normally would keep slightly different time nonetheless became perfectly synchronized when hung from ...
A nonlinear dynamical system exhibits chaotic hysteresis if it simultaneously exhibits chaotic dynamics (chaos theory) and hysteresis.As the latter involves the persistence of a state, such as magnetization, after the causal or exogenous force or factor is removed, it involves multiple equilibria for given sets of control conditions.
Synchronized dancers. Synchronization is the coordination of events to operate a system in unison. For example, the conductor of an orchestra keeps the orchestra synchronized or in time. Systems that operate with all parts in synchrony are said to be synchronous or in sync—and those that are not are asynchronous.