Dissociation chaos

Epilepsy is an extreme case of neuronal rebellion and illustrates a spectrum of functional dissociative possibilities. In grand mal there is marked takeover and chaos in petit mal there are lapses in temporal seizures... 

EMERGENCE OF CLASSICAL PERIODIC ORBITS AND CHAOS IN INTRAMOLECULAR AND DISSOCIATION DYNAMICS... 

Figure 19. Scattering resonances of 2F collinear models of the dissociation of H3 obtained by Manz et al. [143] on the Karplus-Porter surface and by Sadeghi and Skodje on a DMBE surface [132], The energy is defined with respect to the saddle point. The dashed lines mark the bifurcations of the transition to chaos 1, 5, and 3 are the numbers of shortest periodic orbits, or PODS, in each region.

VII. HO2 Classical Chaos Reflected in Dissociation Rates and Product-State Distributions... 

VII. H02 CLASSICAL CHAOS REFLECTED IN DISSOCIATION RATES AND PRODUCT-STATE DISTRIBUTIONS... 

Oped a so-called reactive island theory the reactive islands are the phase-space areas surrounded by the periodic orbits in the transition state, and reactions are interpreted as occurring along cylindrical invariant manifolds through the islands. Fair et al. [29] also found in their two- and three-dof models of the dissociation reaction of hydrazoic acid that a similar cylinderlike structure emerges in the phase space as it leaves the transition state. However, these are crucially based on the findings and the existence of (pure) periodic orbits for all the dof, at least in the transition states. Hence, some questions remain unresolved, for example, How can one extract these periodic orbits from many-body dof phase space and How can the periodic orbits persist at high energies above the saddle point, where chaos may wipe out any of them ... 

Kekule then entered the discussion, responding to Naquet in the Comptes rendus of the Academie des Sciences, and wishing to strongly affirm the constancy of atomicity. He proclaimed, "The equivalent can vary, but not the atomicity." To maintain his stance he defended the concept of molecular compounds for substances such as ammonium chloride, and he cited the phenomena of dissociation and water of crystallization as evidence that this suggestion was not foolishly ad hoc. He was also intent to show that if one were to accept the variability of valence, one would enter a slippery slope toward theoretical chaos— for then how could one limit the possible variability Erlenmeyer reprinted Kekule s paper, equipping it with his own parenthetic editorial exclamation points, question marks, and sarcastic footnotes, it severely strained the relationship of the two former friends." ... 

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