Experimental nonlinear physics

Absolute and convective instability and stability in hydrodynamic stability (76E15) Bifurcations and instability for nonlinear problems in mechanics (70K50) Experimental work for problems pertaining to fluid mechanics (76-05) Hydro- and aero-acoustics (76Q05) Physical optics (78A10)

Related Items (2)

Chaos in the delay logistic equation with discontinuous delays ⋮ Testing for chaos in deterministic systems with noise

Cites Work

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Time series and dependent variables
Calculation of Lyapunov exponents avoiding spurious elements
Reconstructing attractors from scalar time series: A comparison of singular system and redundancy criteria
Identification and prediction of low dimensional dynamics
Testing for nonlinearity in time series: the method of surrogate data
Generalizations of the Hausdorff dimension of fractal measures.
Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
Dimensions and entropies in chaotic systems. Quantification of complex behavior. Proceedings of an International Workshop at the Pecos River Ranch, New Mexico, September 11-16, 1985
Determining Lyapunov exponents from a time series
Extracting qualitative dynamics from experimental data
Statistical description of chaotic attractors: the dimension function
Nonlinear prediction of chaotic time series
State space reconstruction in the presence of noise
Estimation of interrelation between chaotic observables
Estimating the embedding dimension
Singular-value decomposition in attractor reconstruction: Pitfalls and precautions
An analytic approach to practical state space reconstruction
Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems
An algorithm for the \(n\) Lyapunov exponents of an \(n\)-dimensional unknown dynamical system
Embedology
Spatiotemporal analysis of complex signals: Theory and applications
Cascading synchronized chaotic systems
Mutual information and global strange attractors in Taylor-Couette flow
Exceptional events as evidence for determinism
An attractor in a solar time series
Archetypal analysis of spatio-temporal dynamics
The reduction of complex dynamical systems using principal interaction patterns
Resonance-like phenomena in Lyapunov calculations from data reconstructed by the time-delay method
Deterministic chaos and the first positive Lyapunov exponent: A nonlinear analysis of the human electroencephalogram during sleep
A practical method for calculating largest Lyapunov exponents from small data sets
On the nature of turbulence
Time series analysis for system identification and diagnostics
A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems
Stability Theory of Synchronized Motion in Coupled-Oscillator Systems
Comparison of Different Methods for Computing Lyapunov Exponents
Phase space representations of acoustical musical signals
Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
Information and entropy in strange attractors
Independent coordinates for strange attractors from mutual information
Turbulence and the dynamics of coherent structures. I. Coherent structures
LYAPUNOV EXPONENTS IN CHAOTIC SYSTEMS: THEIR IMPORTANCE AND THEIR EVALUATION USING OBSERVED DATA
ACOUSTIC CHAOS
GLOBAL DYNAMICAL EQUATIONS AND LYAPUNOV EXPONENTS FROM NOISY CHAOTIC TIME SERIES
EXPERIMENTAL APPROACH TO A COMPLEX ACOUSTIC SYSTEM
HOW MANY DELAY COORDINATES DO YOU NEED?
MEASURING THE PREDICTABILITY OF NOISY RECURRENT TIME SERIES
TRANSMISSION OF DIGITAL SIGNALS BY CHAOTIC SYNCHRONIZATION
DETECTING NONLINEARITIES IN STATIONARY TIME SERIES
SPREAD SPECTRUM COMMUNICATION THROUGH MODULATION OF CHAOS
MULTICHANNEL COMMUNICATION USING AUTOSYNCHRONIZATION
EXPERIMENTAL DEMONSTRATION OF SECURE COMMUNICATIONS VIA CHAOTIC SYNCHRONIZATION
IDENTIFICATION OF TRUE AND SPURIOUS LYAPUNOV EXPONENTS FROM TIME SERIES
NONLINEAR TIME SEQUENCE ANALYSIS
Communication by chaotic signals: the inverse system approach
BIFURCATION STRUCTURE OF THE DRIVEN VAN DER POL OSCILLATOR
A SIMPLE WAY TO SYNCHRONIZE CHAOTIC SYSTEMS WITH APPLICATIONS TO SECURE COMMUNICATION SYSTEMS
Lyapunov exponents from observed time series
On noise reduction methods for chaotic data
Ergodic theory of chaos and strange attractors
Deterministic Nonperiodic Flow
Synchronization in chaotic systems

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