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QUALITATIVE TECHNIQUES FOR BIFURCATION ANALYSIS OF COMPLEX SYSTEMS*

Data up to Jan 2025

Published1979
Citations7
References25

Total Citations Per Year

Abstract

References (25)

A two-dimensional mapping with a strange attractor

1976 • 2,788 citations

The Hopf Bifurcation and Its Applications

1976 • 2,297 citations

On the Stability of the Center for Time Periodic Perturbations

1963 • 980 citations

A nonlinear oscillator with a strange attractor

1979 • 662 citations

Aeroelasticity of Plates and Shells

1976 • 613 citations

Structural stability of Lorenz attractors

1979 • 561 citations

The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms

1979 • 541 citations

Nonlinear oscillations of a fluttering plate.

1966 • 531 citations

Non-Linear Semi-Groups

1963 • 482 citations

Nonlinear oscillations of a fluttering plate. II.

1967 • 476 citations

Diffeomorphisms with infinitely many sinks

1974 • 425 citations

The stable, center-stable, center, center-unstable, unstable manifolds

1967 • 381 citations

The structure of Lorenz attractors

1979 • 351 citations

Bifurcations to divergence and flutter in flow-induced oscillations: A finite dimensional analysis

1977 • 263 citations

LECTURES ON BIFURCATIONS IN VERSAL FAMILIES

1972 • 205 citations

A Strange, Strange Attractor

1976 • 172 citations

Differential topology with a view to applications

1976 • 155 citations

Bifurcation to divergence and flutter in flow-induced oscillations: an infinite dimensional analysis

1978 • 125 citations

Applications of generic bifurcation. II

1976 • 122 citations

On continuity and smoothness of group actions

1970 • 52 citations

Symbolic dynamics and relaxation oscillations

1980 • 37 citations

‘Strange’ phenomena in dynamical systems and their physical implications

1977 • 32 citations

Bifurcations to Divergence and Flutter in Flow-Induced Oscillations: An Infinite Dimensional Analysis

1977 • 16 citations

BIFURCATIONS TO DIVERGENCE AND FLUTTER IN FLOW-INDUCED OSCILLATIONS: an infinite dimensional analysis

1978 • 10 citations

Bifurcation at multiple eigenvalues

1979 • 1 citations

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