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  • 1
    Digitale Medien
    Digitale Medien
    N-Homoclinic bifurcations for homoclinic orbits changing their twisting (1996)
    Springer
    Journal of dynamics and differential equations 8 (1996), S. 549-572 
    Details
    ISSN: 1572-9222
    Schlagwort(e): homoclinic obit ; bifurcation ; Conley index
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract We study bifurcations, calledN-homoclinic bifurcations, which produce homoclinic orbits roundingN times (N⩾2) in some tubular neighborhood of original homoclinic orbit. A family of vector fields undergoes such a bifurcation when it is a perturbation of a vector field with a homoclinic orbit.N-Homoclinic bifurcations are divided into two cases; one is that the linearization at the equilibrium has only real principal eigenvalues, and the other is that it has complex principal eigenvalues. We treat the former case, espcially that linearization has only one unstable eigenvalue. As main tools we use a topological method, namely, Conley index theory, which enables us to treat more degenerate cases than those studied by analytical methods.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02218844
    Standort Signatur Erwartet Verfügbarkeit
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  • 2
    Digitale Medien
    Digitale Medien
    Calorimetric study on the formation of polymer complexes through electrostatic interaction and hydrogen bonding (1978)
    New York : Wiley-Blackwell
    Die Makromolekulare Chemie 179 (1978), S. 2043-2050 
    Details
    ISSN: 0025-116X
    Schlagwort(e): Chemistry ; Polymer and Materials Science
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: Polymer complexes were formed through electrostatic interaction in poly(methacrylic acid)-integral type polycation systems and hydrogen bonding in the poly(methacrylic acid)-poly(N-vinyl-2-pyrrolidone) system in several solvents. The composition of the polyelectrolyte complex was affected by the chemical properties of solvents, e.g., the dissociation of the component polyelectrolyte was interferred with decreasing the polarity of the solvent. The heats of mixing in case of the combination of poly(methacrylic acid)-poly(N-vinyl-2-pyrrolidone) were negative in N,N-dimethylformamide but they were positive in water. In polyelectrolyte complex systems, they could not be measured by reason of some experimental difficulties. These results indicate that solvation of the component polymers is very important to clarify the mechanism of the formation of polymer complexes.
    Zusätzliches Material: 6 Ill.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1002/macp.1978.021790816
    Standort Signatur Erwartet Verfügbarkeit
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  • 3
    Digitale Medien
    Digitale Medien
    Solvent effect on the complex formation of poly(methacrylic acid) with proton-accepting polymers (1980)
    New York : Wiley-Blackwell
    Die Makromolekulare Chemie 181 (1980), S. 1227-1235 
    Details
    ISSN: 0025-116X
    Schlagwort(e): Chemistry ; Polymer and Materials Science
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: A pair of polymers may interact with each other through hydrogen bond and form a polymer complex. Such polymer complex formation is affected by several chemical and physical factors, especially by solvent properties. This solvent effect was studied in the complex formation of poly(methacrylic acid) with a series of proton-accepting polymers in aprotic solvents. The extraordinary behaviour of polymer complexes in dimethyl sulfoxide was well explained in terms of the strong interaction between proton-donating polymer and dimethyl sulfoxide. In addition, a stronger proton-accepting polymer, viz. poly(N,N-dimethyl-N′,N′,N″,N″-tetramethylenephosphoramide), was synthesized. This polymer could form a polymer complex with poly(methacrylic acid) through hydrogen bond even in dimethyl sulfoxide. Selective polymer complex formation was achieved by controlling such solvent properties.
    Zusätzliches Material: 6 Ill.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1002/macp.1980.021810607
    Standort Signatur Erwartet Verfügbarkeit
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  • 4
    Digitale Medien
    Digitale Medien
    Interaction of human serum proteins with synthetic polymers in heterogeneous system (1981)
    New York : Wiley-Blackwell
    Die Makromolekulare Chemie 182 (1981), S. 1407-1414 
    Details
    ISSN: 0025-116X
    Schlagwort(e): Chemistry ; Polymer and Materials Science
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: The interactions of human serum proteins with synthetic macromolecules were studied in heterogeneous solution systems. An alternating copolymer of styrene with maleic anhydride was crosslinked by diamines with different number of methylene groups varying from 2 to 10, and the degree of crosslinking (mole fraction of amide linked units) was changed from 7 to 43% in order to elucidate the effects of pore size, density of ionic site, and flexibility of the macromolecules. The adsorption of serum proteins on the resins was studied with human serum albumin and γ-globulin as typical proteins in human serum. The resins were dispersed in phosphate buffer solutions, and these were mixed with the phosphate buffer solutions of albumin and/or γ-globulin. After a suitable period of incubation at 20°C, the mixed solutions were centrifuged. The degree of protein-adsorption was determined from the remaining amounts of proteins in the supernatant as measured by U.V. spectrometry. It was observed that the adsorption of albumin was influenced by the subtle balance of hydrophobicity and hydrophilicity of the resin. On the other hand, γ-globulin was adsorbed not only by the hydrophobic resin but also by the hydrophilic (ionic) resin. The resin which was crosslinked to 16% by hexamethylenediamine showed high affinity towards γ-globulin at pH 7,4. Selective adsorption was also possible: Almost all of the γ-globulin and only little of the albumin were adsorbed within half an hour at 20°C by the use of this resin.
    Zusätzliches Material: 5 Ill.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1002/macp.1981.021820513
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