Bifurcation theory is the mathematical study of changes in the qualitative or topological structure of a given family, such as the integral curves of… (More)

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Review

2007

Review

2007

- Helen Petard, Jerrold E. Marsden, J. E. Marsden
- 2007

Classical bifurcation theory is undergoing a revitalization with the infusion of ideas from singularities of mappings and… (More)

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2006

2006

a. A synopsis. In this paper we use the theory of singularities to study bifurcation diagrams when subjected to small… (More)

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Highly Cited

2004

Highly Cited

2004

- Chwei-Sen Wang, Grant Covic, Oskar H. Stielau
- IEEE Transactions on Industrial Electronics
- 2004

Loosely coupled inductive power transfer (LCIPT) systems are designed to deliver power efficiently from a stationary primary… (More)

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Highly Cited

2003

Highly Cited

2003

- Annick Dhooge, Willy Govaerts, Yuri A. Kuznetsov
- ACM Trans. Math. Softw.
- 2003

We consider generic parameterized autonomous ODEs of the form <i>dx</i>/<i>dt</i> ≡ ẋ = f(x, α), where x ∈… (More)

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Highly Cited

2002

Highly Cited

2002

- Koen Engelborghs, Tatyana Luzyanina, Dirk Roose
- ACM Trans. Math. Softw.
- 2002

We describe DDE-BIFTOOL, a Matlab package for numerical bifurcation analysis of systems of delay differential equations with… (More)

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Highly Cited

2000

Highly Cited

2000

The dynamics of a number of switching circuits can be represented by one-dimensional (1-D) piecewise smooth maps under discrete… (More)

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1994

1994

- James Montaldi
- 1994

We show how the path formulation of bifurcation theory can be made to work, and that it is (essentially) equivalent to the usual… (More)

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Highly Cited

1994

Highly Cited

1994

- Ginzburg, Sompolinsky
- Physical review. E, Statistical physics, plasmas…
- 1994

One of the main experimental tools in probing the interactions between neurons has been the measurement of the correlations in… (More)

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Highly Cited

1991

Highly Cited

1991

- Edward Norman Dancer
- SIAM Review
- 1991

and aerodynamics. Solutions are derived using Green’s functions, D’Alembert’s formula, and the method of characteristics. Chapter… (More)

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1990

Highly Cited

1990

- Nicholas D. Kazarinoff
- SIAM Review
- 1990

This book is a thin gem having two main parts: Part mDifferential Dynamical Systems and Part 2--Bifurcations. The approach to… (More)

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