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  • 1
    Electronic Resource
    Electronic Resource
    Purity control of F1-hybrid tomato cultivars by RAPD markers (1995)
    Oxford, UK : Blackwell Publishing Ltd
    Plant breeding 114 (1995), S. 0 
    Details
    ISSN: 1439-0523
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Randomly amplified polymorphic DNA (RAPD) markers were applied in purity control of hybrid seed production of tomato (Lycopersicon esculentum Mill.). DNA from three commercial F1-hybrid cultivars and their parental lines was subjected to RAPD screening with 50 primers. Two of four primers which detected polymorphism between the parents tested, generated paternal-specific RAPDs, enabling a clear distinction to be made between hybrids and their maternal parents. In addition, combination of the polymorphic DNA products generated by these primers exhibited hybrid-specific patterns, enabling each cultivar to be identified. This result indicates the practical usefulness of RAPD markers in hybrid-tomato-seed purity-control tests and cultivar identification.The approach is advantageous in its rapidity and simplicity, particularly as an alternative for those cultivars for which lengthy and costly phenotypic tests are currently used.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1439-0523.1995.tb00790.x
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  • 2
    Electronic Resource
    Electronic Resource
    Tunneling rates in bound systems using smooth exterior complex scaling within the framework of the finite basis set approximation (1990)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 93 (1990), S. 3413-3419 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A basis-set time-independent method to calculate tunneling rates in bound systems through a potential barrier is presented. The tunneling decay rates are associated with the imaginary parts of the complex eigenvalues of the Schrödinger equation where the reaction coordinate r' is complex scaled such that, dr = dr'[1/cos θ(r')]exp (iθ(r')), where tan θ(r') = tan θ∞g(r'). The function g(r') fulfills 0 ≤ g(r') ≤ 1 and shows a smooth transition from 0 to 1 near r' = r0 which is the location of the top of the barrier. The value of θ∞ should be larger than a critical value for which a sharp transition from a real eigenvalue spectrum to a complex one is obtained. Illustrative numerical applications to two isomerization reaction models are given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.458821
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  • 3
    Electronic Resource
    Electronic Resource
    Tunneling rates in a two-dimensional symmetric double-well potential surface by the exterior scaling procedure (1991)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 95 (1991), S. 3562-3569 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Time-independent methods which were recently developed [J. Chem. Phys. 91, 6246 (1989); 93, 3413 (1990)] to calculate tunneling rates in bound systems are applied to a two-dimensional symmetrical double-well surface proposed by Makri and Miller [J. Chem. Phys. 86, 1451 (1987)] to describe intramolecular H-atom transfer. The methods are based on exterior complex scaling either with basis-set expansions or with an iterative multichannel propagation and matching procedure. Exterior complex scaling is used to identify the initial well (characterized by an unscaled reaction coordinate) and the final well (with a complex-scaled reaction coordinate). The quantized energies of the system become complex, with imaginary parts providing the rates.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.460858
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  • 4
    Electronic Resource
    Electronic Resource
    Thermal rate constants in collinear atom transfer reactions by optimizing the position of the reactants/products dividing surface (1992)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 96 (1992), S. 8307-8313 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: On the basis of Miller–Schwartz–Tromp [J. Chem. Phys. 79, 4889 (1983)] formula for the flux autocorrelation function, and its derivation in hyperspherical coordinates by Park and Light [J. Chem. Phys. 94, 2946 (1991)], we study the sensitivity of the thermal rate constant, k(T), for a collinear transfer reaction calculated within the framework of the finite basis set approximation, to the position of the dividing surface between reactants and products, s0=ρα0. Illustrating 2D numerical examples of calculating k(T) for symmetric, H3, and nonsymmetric, Mu–H2 and Mu–D2, potential surfaces by optimizing the value of α0 are given. In all cases (symmetric and nonsymmetric potential surfaces) the optimal dividing surface has to be chosen such that dk(T)/dα0=0. For symmetric potential surfaces tan(2α0)=(mBM/mAmc)1/2, whereas, for highly nonsymmetric potential surfaces, the optimal dividing surface has to be chosen numerically. It is shown that with very limited basis set this numerical stationary solution may be associated with an inflection point rather than a minimum, and therefore k(T) is not necessarily an upper bound to the true thermal rate.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.462334
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  • 5
    Electronic Resource
    Electronic Resource
    Absorbing boundary conditions by the partial integration exterior scaling method (1993)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 99 (1993), S. 7703-7708 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The partial integration exterior scaling (PIES) method is developed. This method enables one to insert absorbing boundary conditions in finite basis set calculations in a rigorous way. The results are parameter independent when the basis set approaches completeness. Illustrative numerical examples are given for the calculations of resonance positions and lifetimes and of cumulative reaction probabilities.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.465699
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  • 6
    Electronic Resource
    Electronic Resource
    Islands of accelerator modes and homoclinic tangles (1999)
    Woodbury, NY : American Institute of Physics (AIP)
    Chaos 9 (1999), S. 697-705 
    Details
    ISSN: 1089-7682
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Islands are divided according to their phase space structure—resonant islands and tangle islands are considered. It is proved that in the near-integrable limit these correspond to two distinct sets, hence that in general their definitions are not trivially equivalent. It is demonstrated and proved that accelerator modes of the standard map and of the web map are necessarily of the tangle island category. These islands have an important role in determining transport—indeed it has been demonstrated in various works that stickiness to these accelerator modes may cause anomalous transport even for initial conditions starting in the ergodic component. © 1999 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.166444
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  • 7
    Electronic Resource
    Electronic Resource
    Parabolic resonances and instabilities (1997)
    Woodbury, NY : American Institute of Physics (AIP)
    Chaos 7 (1997), S. 148-158 
    Details
    ISSN: 1089-7682
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A parabolic resonance is formed when an integrable two-degrees-of-freedom (d.o.f.) Hamiltonian system possessing a circle of parabolic fixed points is perturbed. It is proved that its occurrence is generic for one parameter families (co-dimension one phenomenon) of near-integrable, two d.o.f. Hamiltonian systems. Numerical experiments indicate that the motion near a parabolic resonance exhibits a new type of chaotic behavior which includes instabilities in some directions and long trapping times in others. Moreover, in a degenerate case, near a flat parabolic resonance, large scale instabilities appear. A model arising from an atmospherical study is shown to exhibit flat parabolic resonance. This supplies a simple mechanism for the transport of particles with small (i.e. atmospherically relevant) initial velocities from the vicinity of the equator to high latitudes. A modification of the model which allows the development of atmospherical jets unfolds the degeneracy, yet traces of the flat instabilities are clearly observed. © 1997 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.166246
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  • 8
    Electronic Resource
    Electronic Resource
    Secondary homoclinic bifurcation theorems (1995)
    Woodbury, NY : American Institute of Physics (AIP)
    Chaos 5 (1995), S. 385-401 
    Details
    ISSN: 1089-7682
    Source: AIP Digital Archive
    Topics: Physics
    Notes: We develop criteria for detecting secondary intersections and tangencies of the stable and unstable manifolds of hyperbolic periodic orbits appearing in time-periodically perturbed one degree of freedom Hamiltonian systems. A function, called the "Secondary Melnikov Function'' (SMF) is constructed, and it is proved that simple (resp. degenerate) zeros of this function correspond to transverse (resp. tangent) intersections of the manifolds. The theory identifies and predicts the rotary number of the intersection (the number of "humps'' of the homoclinic orbit), the transition number of the homoclinic points (the number of periods between humps), the existence of tangencies, and the scaling of the intersection angles near tangent bifurcations perturbationally. The theory predicts the minimal transition number of the homoclinic points of a homoclinic tangle. This number determines the relevant time scale, the minimal stretching rate (which is related to the topological entropy) and the transport mechanism as described by the TAM, a transport theory for two-dimensional area-preserving chaotic maps. The implications of this theory on the study of dissipative systems have yet to be explored. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.166109
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  • 9
    Electronic Resource
    Electronic Resource
    Chaotic kinetics and transport (Overview) (2000)
    Woodbury, NY : American Institute of Physics (AIP)
    Chaos 10 (2000), S. 1-2 
    Details
    ISSN: 1089-7682
    Source: AIP Digital Archive
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.166469
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  • 10
    Electronic Resource
    Electronic Resource
    Cumulative reaction probability by the complex coordinate scattering theory (1993)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 98 (1993), S. 6327-6331 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A new computational approach for the calculation of the cumulative reaction probability N(E) is introduced. As distinct from the optical potential method, recently applied by Seideman and Miller [J. Chem. Phys. 96, 4412 (1992)], we use the complex coordinate scattering theory to overcome the numerical difficulties in calculating the Green's operator. Illustrative numerical examples for the 1D H+H2 collinear collision (Eckhart barrier) using complex scaling, in which both the physical potential and the flux matrix elements are perturbed, and smooth exterior complex scaling, in which both are left unchanged as in the Seideman–Miller procedure, are presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.464826
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