# A unified theory of chaos linking nonlinear dynamics and statistical physics

@article{Poon2010AUT, title={A unified theory of chaos linking nonlinear dynamics and statistical physics}, author={Chi-Sang Poon and Cheng Li and Guo-qiang Wu}, journal={arXiv: Chaotic Dynamics}, year={2010} }

A fundamental issue in nonlinear dynamics and statistical physics is how to distinguish chaotic from stochastic fluctuations in short experimental recordings. This dilemma underlies many complex systems models from stochastic gene expression or stock exchange to quantum chaos. Traditionally, deterministic chaos is characterized by "sensitive dependence on initial conditions" as indicated by a positive Lyapunov exponent. However, ambiguity arises when applying this criterion to real-world data… Expand

#### 8 Citations

Robust Real-Time Chaos Detection from Measurement Data

- 2015

The ability to distinguish between chaotic from regular dynamics is not a trivial task and the fact that noise cannot be avoided in real physical systems makes the problem even more challenging.… Expand

Singular Perturbation of Nonlinear Dynamics by Parasitic Noise

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- 2010

In nonlinear systems analysis, minor fractions of higher-order dynamics are often neglected for simplicity. Here, we show that machine epsilon levels of parasitic higher-order dynamics due to… Expand

Chaotic analysis of embodied and situated agents

- Computer Science
- Robotics Auton. Syst.
- 2017

Chaos measures, in particular fractal dimension, are correlated with the performance if robots exhibit a similar behavioral strategy, and show that robots governed by a chaotic dynamic are more efficient at adapting to environments never experience during evolution. Expand

To appear in : Robotics and Autonomous Systems

- 2017

Embodied and situated view of cognition is a transdisciplinary framework which stresses the importance of real time and dynamical interaction of an agent with the surrounding environment. This… Expand

Band-phase-randomized surrogate data reveal high-frequency chaos in heart rate variability

- Physics, Biology
- 2010 Annual International Conference of the IEEE Engineering in Medicine and Biology
- 2010

This finding confirms recent evidence that chaotic dynamics in normal HRV is ascribable mainly to the HF component, or respiratory sinus arrhythmia. Expand

Surrogate based Optimization and Verification of Analog and Mixed Signal Circuits

- Computer Science
- 2018

A methodology for optimization and verification of AMS circuits advancing three frontiers in the variability-aware design flow and great improvements were achieved using the verification methods with many orders of speedup compared to existing techniques. Expand

Brownian Techniques for Constructing High-Strong Cryptographic S-boxes

- Mathematics, Computer Science
- ICSDE'18
- 2018

Brownian motion is used to generate strong 8 × 8 S-box generated from Brownian motion using a secret key, which will increase the complexity for cryptanalysis attacks. Expand

Non-High Frequency Heart Rate Chaos: A Noninvasive Marker of REM Sleep and Obstructive Sleep Apnea Syndrome in Children

- Biology, Medicine
- 2018

Receiver operating characteristic analysis shows that non-high frequency heart rate chaos reveals changing sympathetic–parasympathetic activities that are not discernible by conventional HRV metrics such as low- to high-frequency power ratio or sample entropy, with sensitivity and specificity sufficient to detect even mild OSAS in children. Expand

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