Optimal escape from potential wells -- patterns of regular and chaotic bifurcation
type: Item
instance of: scholarly article
title: Optimal escape from potential wells -- patterns of regular and chaotic bifurcation
zbMATH Open document ID: 0897.58035
DOI: 10.1016/0167-2789(95)00172-Z
author: Yanyan Li
published in: Physica D
publication date: 1995-07-03T00:00:00Z
Mathematics Subject Classification ID: 37G99
zbMATH DE Number: 769647
zbMATH Keywords: patterns of bifurcation
zbMATH Keywords: potential well
zbMATH Keywords: numerical simulation
MaRDI profile type: Publication
cites work: Chaotic phenomena triggering the escape from a potential well
cites work: Integrity measures quantifying the erosion of smooth and fractal basins of attraction
cites work: Indeterminate jumps to resonance from a tangled saddle-node bifurcation
cites work: Catastrophes with indeterminate outcome
cites work: Birkhoff signature change: a criterion for the instability of chaotic resonance
cites work: BASIN EROSION IN THE TWIN-WELL DUFFING OSCILLATOR: TWO DISTINCT BIFURCATION SCENARIOS
cites work: A nonlinear oscillator with a strange attractor
cites work: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
cites work: Q3697924
cites work: Crises, sudden changes in chaotic attractors, and transient chaos
cites work: Q3944890
cites work: Basin boundary metamorphoses: Changes in accessible boundary orbits
cites work: Q3833309
cites work: Lobe dynamics and the escape from a potential well
cites work: Transport in two-dimensional maps
cites work: Basin explosions and escape phenomena in the twin-well Duffing oscillator: compound global bifurcations organizing behaviour
cites work: Rotation numbers of periodic orbits in the Hénon map
cites work: Metamorphoses: Sudden jumps in basin boundaries
cites work: The Saddle-Node Separatrix-Loop Bifurcation
cites work: Q3694313
cites work: Knotted periodic orbits in suspensions of Smale's horseshoe: Extended families and bifurcation sequences
cites work: Topological analysis and synthesis of chaotic time series
cites work: COMPUTATION OF RELATIVE ROTATIONS IN SPIRAL HORSESHOES
cites work: Bifurcational precedences in the braids of periodic orbits of spiral 3-shoes in driven oscillators
cites work: Q5802100
cites work: Q4003070
cites work: ON THREE-DIMENSIONAL DYNAMICAL SYSTEMS CLOSE TO SYSTEMS WITH A STRUCTURALLY UNSTABLE HOMOCLINIC CURVE. I
cites work: Q5186436
cites work: Cascades of period-doubling bifurcations: A prerequisite for horseshoes
cites work: Trellises Formed by Stable and Unstable Manifolds in the Plane
cites work: A Simple Second Order Differential Equation with Singular Motions
cites work: The number of subharmonic solutions of non-linear differential equations of the second order
cites work: Q4840200
cites work: A generalization of the Levinson-Massera’s equalities
cites work: Application of fixed point theory to chaotic attractors of forced oscillators
cites work: Controlling chaos
cites work: Controlling chaotic dynamical systems
full work available at URL: 0167-2789(95)00172-z
OpenAlex ID: W2081103976
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description: scientific article; zbMATH DE number 769647