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  • 1
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    First identification of excited states in ^{117} Ba using the recoil-β-delayed proton tagging technique (2017)
    American Physical Society (APS)
    Details
    Publication Date: 2017-02-02
    Description: Author(s): B. Ding, Z. Liu, D. Seweryniak, P. J. Woods, H. L. Wang, J. Yang, H. L. Liu, C. N. Davids, M. P. Carpenter, T. Davinson, R. V. F. Janssens, R. D. Page, A. P. Robinson, J. Shergur, S. Sinha, S. Zhu, X. D. Tang, J. G. Wang, T. H. Huang, W. Q. Zhang, M. D. Sun, X. Y. Liu, and H. Y. Lu Excited states have been observed for the first time in the neutron-deficient nucleus Ba 117 using the recoil-decay tagging technique following the heavy-ion fusion-evaporation reaction Zn 64 ( Ni 58 , 2p3n) Ba 117 . Prompt γ rays have been assigned to Ba 117 through correlations with β -delayed protons follow… [Phys. Rev. C 95, 024301] Published Wed Feb 01, 2017
    Keywords: Nuclear Structure
    Print ISSN: 0556-2813
    Electronic ISSN: 1089-490X
    Topics: Physics
    Published by American Physical Society (APS)
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  • 2
    Electronic Resource
    Electronic Resource
    Analysis of time-periodic nonlinear dynamical systems undergoing bifurcations (1995)
    Springer
    Nonlinear dynamics 8 (1995), S. 21-43 
    Details
    ISSN: 1573-269X
    Keywords: Nonlinear dynamic systems ; parametric excitation ; bifurcation ; time-periodic systems ; critical cases
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this study a new procedure for analysis of nonlinear dynamical systems with periodically varying parameters under critical conditions is presented through an application of the Liapunov-Floquet (L-F) transformation. The L-F transformation is obtained by computing the state transition matrix associated with the linear part of the problem. The elements of the state transition matrix are expressed in terms of Chebyshev polynomials in timet which is suitable for algebraic manipulations. Application of Floquet theory and the eigen-analysis of the state transition matrix at the end of one principal period provides the L-F transformation matrix in terms of the Chebyshev polynomials. Since this is a periodic matrix, the L-F transformation matrix has a Fourier representation. It is well known that such a transformation converts a linear periodic system into a linear time-invariant one. When applied to quasi-linear equations with periodic coefficients, a dynamically similar system is obtained whose linear part is time-invariant and the nonlinear part consists of coefficients which are periodic. Due to this property of the L-F transformation, a periodic orbit in original coordinates will have a fixed point representation in the transformed coordinates. In this study, the bifurcation analysis of the transformed equations, obtained after the application of the L-F transformation, is conducted by employingtime-dependent center manifold reduction andtime-dependent normal form theory. The above procedures are analogous to existing methods that are employed in the study of bifurcations of autonomous systems. For the two physical examples considered, the three generic codimension one bifurcations namely, Hopf, flip and fold bifurcations are analyzed. In the first example, the primary bifurcations of a parametrically excited single degree of freedom pendulum is studied. As a second example, a double inverted pendulum subjected to a periodic loading which undergoes Hopf or flip bifurcation is analyzed. The methodology is semi-analytic in nature and provides quantitative measure of stability when compared to point mappings method. Furthermore, the technique is applicable also to those systems where the periodic term of the linear part does not contain a small parameter which is certainly not the case with perturbation or averaging methods. The conclusions of the study are substantiated by numerical simulations. It is believed that analysis of this nature has been reported for the first time for this class of systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00045005
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  • 3
    Electronic Resource
    Electronic Resource
    A new numerical technique for the analysis of parametrically excited nonlinear systems (1993)
    Springer
    Nonlinear dynamics 4 (1993), S. 483-498 
    Details
    ISSN: 1573-269X
    Keywords: Nonlinear dynamic systems ; parametric excitation ; numerical integration ; Picard iteration ; Chebyshev polynomials ; periodic and aperiodic solutions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A new computational scheme using Chebyshev polynomials is proposed for the numerical solution of parametrically excited nonlinear systems. The state vector and the periodic coefficients are expanded in Chebyshev polynomials and an integral equation suitable for a Picard-type iteration is formulated. A Chebyshev collocation is applied to the integral with the nonlinearities reducing the problem to the solution of a set of linear algebraic equations in each iteration. The method is equally applicable for nonlinear systems which are represented in state-space form or by a set of second-order differential equations. The proposed technique is found to duplicate the periodic, multi-periodic and chaotic solutions of a parametrically excited system obtained previously using the conventional numerical integration schemes with comparable CPU times. The technique does not require the inversion of the mass matrix in the case of multi degree-of-freedom systems. The present method is also shown to offer significant computational conveniences over the conventional numerical integration routines when used in a scheme for the direct determination of periodic solutions. Of course, the technique is also applicable to non-parametrically excited nonlinear systems as well.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00053692
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  • 4
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    Shape coexistence in ^{153} Ho (2016)
    American Physical Society (APS)
    Details
    Publication Date: 2016-08-06
    Description: Author(s): Dibyadyuti Pramanik, S. Sarkar, M. Saha Sarkar, Abhijit Bisoi, Sudatta Ray, Shinjinee Dasgupta, A. Chakraborty, Krishichayan, Ritesh Kshetri, Indrani Ray, S. Ganguly, M. K. Pradhan, M. Ray Basu, R. Raut, G. Ganguly, S. S. Ghugre, A. K. Sinha, S. K. Basu, S. Bhattacharya, A. Mukherjee, P. Banerjee, and A. Goswami The high-spin states in Ho 153 have been studied by the La 57 139 ( Ne 20 , 6 n ) reaction at a projectile energy of 139 MeV at the Variable Energy Cyclotron Centre (VECC), Kolkata, India, utilizing an earlier campaign of the Indian National Gamma Array (INGA) setup. Data from γ − γ coincidence, directional cor… [Phys. Rev. C 94, 024311] Published Fri Aug 05, 2016
    Keywords: Nuclear Structure
    Print ISSN: 0556-2813
    Electronic ISSN: 1089-490X
    Topics: Physics
    Published by American Physical Society (APS)
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