Titlebook: Elements of Applied Bifurcation Theory; Yuri A. Kuznetsov Book 19982nd edition Springer-Verlag New York 1998 bifurcation.dynamical systems

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Book 19982nd edition bifurcation analysis in a planar system using MAPLE, a symbolic manipulation software. Chapter 4 includes a detailed normal form analysis of the Neimark-Sacker bif- cation in the delayed logistic map. In Chapter 5, we derive explicit f- mulas for the critical normal form coe?cients of all codim 1 b

VALID

Other One-Parameter Bifurcations in Continuous-Time Dynamical Systems,f bifurcations in symmetric systems, which are those systems that are invariant with respect to the representation of a certain symmetry group. After giving some general results on bifurcations in such systems, we restrict our attention to bifurcations of equilibria and cycles in the presence of the

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Nerve-Block

Martin Johannes,Ole Thybo Thomsenf bifurcations in symmetric systems, which are those systems that are invariant with respect to the representation of a certain symmetry group. After giving some general results on bifurcations in such systems, we restrict our attention to bifurcations of equilibria and cycles in the presence of the

essential-fats

Adnan Badran,Elias Baydoun,John R. Hillmandix 2 presents numerical methods for detection of higher-order homoclinic bifurcations. The bibliographical notes in Appendix 3 include references to standard noninteractive software packages and interactive programs available for continuation and bifurcation analysis of dynamical systems. Actually,

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https://doi.org/10.1007/978-981-10-1621-9 systems and their classification, bifurcations and bifurcation diagrams, and topological normal forms for bifurcations. The last section is devoted to the more abstract notion of structural stability. In this chapter we will be dealing only with dynamical systems in the state space . R..

Painstaking

Electric Generator Maintenance Schedulingpf bifurcations. Then we study these bifurcations in the lowest possible dimensions: the fold bifurcation for scalar systems and the Hopf bifurcation for planar systems. Chapter 5 shows how to “lift” these results to .-dimensional situations.

Congestion

M. K. Dhillon,V. K. Kalia,G. T. Gujar dynamical systems. First we consider in detail two- and three-dimensional cases where geometrical intuition can be fully exploited. Then we show how to reduce generic .-dimensional cases to the considered ones plus a four-dimensional case. This remaining case is treated in Appendix 1.

considerable

Topological Equivalence, Bifurcations, and Structural Stability of Dynamical Systems, systems and their classification, bifurcations and bifurcation diagrams, and topological normal forms for bifurcations. The last section is devoted to the more abstract notion of structural stability. In this chapter we will be dealing only with dynamical systems in the state space . R..