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Conclusions and Discussion

... by nudging limit cycles into period doubled bifurcations of normal system output, with each period-doubling preceded by some critical spiking activity required to drive the phase transition. Mode locking into period doubled or reverse period do...

Multistability in a driven nonlinear system controlled by weak subharmonic perturbations

... relations for the onsets of both saddle-node bifurcations and boundary crises induced by resonant periodic perturbations at subharmonic frequencies are found from the numerical simulation. These phase dependences determine the domains of existen...

What is Nonlinear Hallucination?

... perspectives for the same input is a nonlinear bifurcation of multisensory coherence. Perceiving dream images superimposed over external space is nonlinear destabilization of visual memory recall. Seeing the formal boundaries of solid objects bend...

Limits of Human Perception

... to produce fractal states of frame layering, bifurcation, and infinite frame recursion. This allows perception to exist in multiple states at once, much like a quantum computer that processes multiple simultaneous probabilities. If normal human ...

Entoptic Hallucination

... can be described as a transcritical or pitchfork bifurcation leading to an excited visual field reflecting the spatial organization of the recurrent network.4,5,6 [fig]3;1[/fig]Pulses in the same frequency range as brain waves (theta to gamma) ar...

A mathematical theory of visual hallucination patterns

... analyzed in the neighborhood of an instability. bifurcation theory and group theory are used to demonstrate the existence of a variety of doublyperiodic patterns, hexagons, rolls, etc., as solutions to the field equations for the net activity. It i...

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