ISSN:0098-9886    

DOI:10.1002/cta.4490160102

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1988

数据来源: WILEY

摘要:

AbstractThe proposed procedure is a new, practically multiplier‐free DFT algorithm which is especially suitable for the computation of longer transforms. the method is based on the realization of prime‐length transforms using a single kind of optimized FIR filter. the transform coefficients have been coded differentially and the approximation is signal independent. the accuracy has been characterized by the ratio of the squared sum of the DFT coefficients and the squared sum of the errors of the approximating coefficients. the algorithm producing the approximate sequence is simple, its computational and memory requirements are minimal. and finally, for some transform lengths the characteristics of the algorithms have been deri

ISSN:0098-9886    

DOI:10.1002/cta.4490160103

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1988

数据来源: WILEY

摘要:

AbstractThe ranges of the transfer and the return maps that are induced by the flow of a piecewise‐linear continuous dynamical system describing Chua's circuit are investigated analytically. the two sets turn out to be intertwined for all values of the parameters. For high enough frequencies of the saddle‐focus, located at the origin of state space, the first set forms ‘inclusions’ inside the second one. A charting of parameter space describing the creation and annihilation of the above inclusions quantitatively is in

ISSN:0098-9886    

DOI:10.1002/cta.4490160104

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1988

数据来源: WILEY

摘要:

AbstractThis article represents Part I of a two‐part paper which provides a rigorous mathematical foundation of the modeanalysis method for analysing the periodic and quasi‐periodic oscillations observed in various types of coupled oscillators. Although the results predicted by this method had been confirmed by experiments to some extent, the crucial assumptions used to derive the averaged equations are based on engineering intuition. Moreover, while it is intuitively reasonable to associate an equilibrium solution of the averaged equations whose eigenvalues have negative real parts with that of a stable periodic or quasi‐periodic solution of the original equation, the relationship between the solution of the averaged equations and that of the original equations asttends to infinity, is not clear in a mathematical sense.This paper resolves the theoretical ambiguities of the mode analysis method by using the theory ofintegral manifolds.In particular, we recalculate the averaged equations in a rigorous way, and show that they coincide with those obtained before. Therefore, the theory of integral manifolds guarantees the existence of an integral manifold in the original system which corresponds to a steady‐state periodic or quasi‐periodic solution, provided the equilibrium point of the averaged equation has no eigenvalues with a zero real part (i.e. hyberbolic). This rigorous analysis proved that all our previous results obtained from the mode analysis method, i.e. averaged equations and stability analysis wer

ISSN:0098-9886    

DOI:10.1002/cta.4490160105

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1988

数据来源: WILEY

摘要:

AbstractThis article represents Part II of a two‐part paper which provides a rigorous mathematical foundation of the modeanalysis method for analysing the periodic and quasi‐periodic oscillation observed in various types of coupled oscillators. Although the results predicted by this method had been confirmed by experiments to some extent, the crucial assumptions used to derive the averaged equations are based on engineering intuition. Moreover, while it is intuitively reasonable to associate an equilibrium solution of the averaged equations whose eigenvalues have negative real parts with that of a stable periodic or quasi‐periodic solution of the original equation, the relationship between the solution of the averaged equations and that of the original equations asttends to infinity, is not clear in a mathematical sense.This paper resolves the theoretical ambiguities of the mode analysis method by using the theory ofintegral manifolds.In particular, we recalculate the averaged equations in a rigorous way, and show that they coincide with those obtained before. Thereore, the theory of integral manifolds guarantees the existence of an integral manifold in the original system which corresponds to a steady‐state periodic or quasi‐periodic solution, provided the equilibrium point of the averaged equation has no eigenvalues with a zero real part (i.e. hyperbolic. This rigorous analysis proved that all our previous results obtained from the mode analysis method, i.e. averaged equations and the analysis wer

ISSN:0098-9886    

DOI:10.1002/cta.4490160106

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1988

数据来源: WILEY

ISSN:0098-9886    

DOI:10.1002/cta.4490160107

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1988

数据来源: WILEY

ISSN:0098-9886    

DOI:10.1002/cta.4490160108

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1988

数据来源: WILEY

ISSN:0098-9886    

DOI:10.1002/cta.4490160109

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1988

数据来源: WILEY

ISSN:0098-9886    

DOI:10.1002/cta.4490160101

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1988

数据来源: WILEY