S. Wiggins

Publications177
h-index34
Citations10,170
Highly Influential Citations648
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Introduction to Applied Nonlinear Dynamical Systems and Chaos
Equilibrium Solutions, Stability, and Linearized Stability * Liapunov Functions * Invariant Manifolds: Linear and Nonlinear Systems * Periodic Orbits * Vector Fields Possessing an Integral * Index…
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Normally Hyperbolic Invariant Manifolds in Dynamical Systems
In the past ten years, there has been much progress in understanding the global dynamics of systems with several degrees-of-freedom. An important tool in these studies has been the theory of normally…
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Chaotic transport in dynamical systems
Provides a new and more realistic framework for describing the dynamics of non-linear systems. A number of issues arising in applied dynamical systems from the viewpoint of problems of phase space…
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An analytical study of transport, mixing and chaos in an unsteady vortical flow
We examine the transport properties of a particular two-dimensional, inviscid incompressible flow using dynamical systems techniques. The velocity field is time periodic and consists of the field…
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Geometric Structures, Lobe Dynamics, and Lagrangian Transport in Flows with Aperiodic Time-Dependence, with Applications to Rossby Wave Flow
Summary. In this paper we develop the mathematical framework for studying transport in two-dimensional flows with aperiodic time dependence from the geometrical point of view of dynamical systems…
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Lagrangian Transport in Geophysical Jets and Waves: The Dynamical Systems Approach
Steadily Translating Waves and Meanders.- Integrability of Lagrangian Motion.- Fluctuating Waves and Meanders.- Material Manifolds, Flow Regimes, and Fluid Exchange.- Lobe Transport and Flux.-…
The dynamical systems approach to lagrangian transport in oceanic flows
▪ Abstract Chaotic advection and, more generally, ideas from dynamical systems, have been fruitfully applied to a diverse, and varied, collection of mixing and transport problems arising in…
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On the integrability and perturbation of three-dimensional fluid flows with symmetry
SummaryThe purpose of this paper is to develop analytical methods for studyingparticle paths in a class of three-dimensional incompressible fluid flows. In this paper we study three-dimensionalvolume…
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Periodic orbits in slowly varying oscillators
We develop a global perturbation technique for the study of periodic orbits in three-dimensional, time dependent and independent, perturbations of planar Hamiltonian differential equations. We give...
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Transport in two-dimensional maps
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